Is Kenna Elementary School a good school?

Kenna Elementary School ranks 95 th of 368 West Virginia elementary schools. SchoolDigger rates this school 4 stars out of 5.

How many students attend Kenna Elementary School?

In the 2022-23 school year, 238 students attended Kenna Elementary School.

What is the racial makeup of Kenna Elementary School?

Students at Kenna Elementary School are 99% White.

What schools do graduates of Kenna Elementary School attend?

Students who attend Kenna Elementary School usually go on to attend: Middle : Ripley Middle School High : Ripley High School

Kenna Elementary School

Summary:

Kenna Elementary School is a public elementary school in Kenna, West Virginia, serving 238 students in grades PK-5. The school is part of the Jackson County Schools district, which is ranked 3 out of 55 districts in the state and has a 5-star rating.

Kenna Elementary has shown strong academic performance, particularly in mathematics, with 63.9% of 3rd graders, 66.7% of 4th graders, and 31.6% of 5th graders proficient or better on the WV Assessment/Mathematics. This places the school in the top 25% of elementary schools in West Virginia, with a statewide ranking of 95 out of 368 schools and a 4-star rating from SchoolDigger. The school also maintains a relatively low student-teacher ratio, ranging from 12.1 to 12.7 over the past three years, which is lower than nearby schools like Ripley Elementary and Fairplain Elementary.

While Kenna Elementary has a predominantly white student population, with over 98% of students identifying as white, the school's performance has fluctuated over the years, and analyzing trends for specific student subgroups could help address any achievement gaps. Compared to nearby schools, Kenna Elementary generally performs well in mathematics and English Language Arts assessments, particularly in the upper elementary grades, but lags behind in science assessments. Exploring ways to promote greater racial diversity and support student subgroups could be areas for the school to consider for further improvement.

Detail:

Public PK, KG-5

275 Business Park Dr
Kenna, WV 25248-1200

(304) 372-2262

District: Jackson County Schools

SchoolDigger Rank:
95^th of 368 West Virginia Elementary Schools

Per Pupil Expenditures: $12,380

Students who attend Kenna Elementary School usually attend:

Middle:	Ripley Middle School
High:	Ripley High School

Student/teacher ratio: 12.4

Number of students: 238

Racial breakdown:

White:

98.7%

Two or more races:

0.8%

African American:

0.4%

Free/discounted lunch recipients: 43.3%

See top rated West Virginia elementary schools

Compare Kenna Elementary School to nearby elementary schools!

Performance Trends

Compare Details Kenna Elementary School ranks better than 74.2% of elementary schools in West Virginia. It also ranks 5^th among 7 ranked elementary schools in the Jackson County Schools District. (See more...)

Compare Details In 2024 the calculated Average Standard Score was 67.05. (See more...)

Student Body

Compare Details Racial makeup is: White (98.7%), two or more races (0.8%), African American (0.4%). (See more...)

Compare Details

Teachers

Compare Details The student/teacher ratio at Kenna Elementary School is 12.4. 6 elementary schools in the Jackson County Schools District have better student/teacher ratios. (See more...)

Compare Kenna Elementary School employs 19.1 full-time teachers.

Finance

Compare Details The average total spent per student at Kenna Elementary School is $12,380. 4 elementary schools in the Jackson County Schools District spend more per student.

Schooldigger 2024 Rankings:

Kenna Elementary School:

SchoolDigger ranks Kenna Elementary School 95^th of 368 West Virginia public elementary schools. (See Kenna Elementary School in the ranking list.)

Elementary School Test Score Ratings by Student Subgroup:

Low Socio Economic Status students:

Female students:

Male students:

White students:

Jackson County Schools:

SchoolDigger ranks Jackson County Schools 3^rd of 55 West Virginia school districts. (See district ranking list.)

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Rank History for Kenna Elementary School

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Rank History for all students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile
2009	61.57	138^th	420	67.1%
2010	67.61	93^rd	427	78.2%
2011	62.88	117^th	426	72.5%
2012	64.94	103^rd	426	75.8%
2013	71.21	74^th	428	82.7%
2014	57.18	142^nd	422	66.4%
2015	62.97	110^th	408	73.0%
2016	60.67	134^th	402	66.7%
2017	45.73	229^th	399	42.6%
2018	57.61	153^rd	392	61.0%
2019	67.83	98^th	383	74.4%
2021	80.03	48^th	380	87.4%
2022	57.55	137^th	375	63.5%
2023	68.80	88^th	368	76.1%
2024	67.05	95^th	368	74.2%

See the entire list of West Virginia Elementary School Rankings!

Rank History for Multi-racial students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile	SchoolDigger Rating
2017	24.50	192^nd	218	11.9%

See the entire list of Best West Virginia Elementary Schools for Multi-racial Students!

Rank History for Special Education students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile
2017	67.41	48^th	377	87.3%
2018	54.00	96^th	258	62.8%
2019	36.69	120^th	185	35.1%
2023	49.81	91^st	180	49.4%

See the entire list of Best West Virginia Elementary Schools for Special Education Students!

Rank History for Low Socio Economic Status students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile
2017	51.16	178^th	382	53.4%
2018	70.08	70^th	368	81.0%
2021	69.92	57^th	335	83.0%
2022	55.98	125^th	347	64.0%
2023	60.99	92^nd	333	72.4%
2024	61.37	96^th	336	71.4%

See the entire list of Best West Virginia Elementary Schools for Low Socio Economic Status Students!

Rank History for Female students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile
2017	50.37	187^th	381	50.9%
2018	49.38	189^th	366	48.4%
2019	63.39	102^nd	339	69.9%
2021	89.78	16^th	322	95.0%
2022	49.42	152^nd	325	53.2%
2023	65.02	87^th	317	72.6%
2024	58.45	115^th	316	63.6%

See the entire list of Best West Virginia Elementary Schools for Female Students!

Rank History for Male students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile
2017	44.08	219^th	382	42.7%
2018	65.40	105^th	364	71.2%
2019	61.36	114^th	338	66.3%
2021	74.05	52^nd	333	84.4%
2022	61.14	98^th	330	70.3%
2023	68.64	72^nd	322	77.6%
2024	60.90	101^st	325	68.9%

See the entire list of Best West Virginia Elementary Schools for Male Students!

Rank History for White students at Kenna Elementary School

Year	Avg Standard Score	Statewide Rank	Total # Ranked Elementary Schools	WV State Percentile
2017	45.87	217^th	382	43.2%
2018	56.66	149^th	374	60.2%
2019	68.25	92^nd	373	75.3%
2021	79.58	49^th	376	87.0%
2022	56.72	138^th	373	63.0%
2023	67.16	97^th	366	73.5%
2024	65.51	99^th	367	73.0%

See the entire list of Best West Virginia Elementary Schools for White Students!

Data source: test scores: West Virginia Department of Education, rankings: SchoolDigger.com

As you review the school rankings data, please be aware that some of the information from certain demographics is missing. The reason for this omission is that the data has been redacted from the source data itself due to low population samples in these specific demographic groups.

Redacting data from low population samples is a necessary step to ensure the reliability and accuracy of the results, as small sample sizes may not be representative of the broader population. Additionally, this measure helps protect the privacy of individuals belonging to these demographic groups.

Data source: West Virginia Department of Education

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Enrollment information for Kenna Elementary School

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Year	White	African American	Asian	Hispanic	American Indian	Pacific Islander	Two or More Races	Not Specified	Total
1989	n/a	n/a	n/a	n/a	n/a	n/a	n/a	299	299
1990	291	0	0	0	0	n/a	n/a	0	291
1991	272	0	0	0	0	n/a	n/a	0	272
1992	295	0	2	0	0	n/a	n/a	0	297
1993	305	0	2	0	0	n/a	n/a	0	307
1994	301	0	2	0	0	n/a	n/a	0	303
1995	313	0	1	0	0	n/a	n/a	0	314
1996	313	0	1	0	0	n/a	n/a	0	314
1997	297	0	0	0	0	n/a	n/a	0	297
1998	310	0	0	1	0	n/a	n/a	0	311
1999	327	1	1	1	0	n/a	n/a	0	330
2000	306	2	1	0	0	n/a	n/a	0	309
2001	294	2	1	0	0	n/a	n/a	0	297
2002	304	2	0	0	0	n/a	n/a	0	306
2003	304	2	0	0	0	n/a	n/a	0	306
2004	299	2	0	0	0	n/a	n/a	0	301
2005	302	2	2	0	0	n/a	n/a	0	306
2006	319	4	2	0	0	n/a	n/a	0	325
2007	341	4	1	0	0	n/a	n/a	0	346
2008	362	4	1	0	0	n/a	n/a	0	367
2009	368	4	0	0	0	n/a	n/a	0	372
2010	369	5	0	2	0	0	0	0	376
2011	338	3	1	2	0	0	0	0	344
2012	349	2	1	2	0	0	0	0	354
2013	349	0	1	2	2	1	0	0	355
2014	328	1	1	2	2	1	4	0	339
2015	324	2	1	2	2	0	3	0	334
2016	290	2	1	2	1	0	4	0	300
2017	286	2	0	0	0	0	3	0	291
2018	280	2	0	2	0	0	2	0	286
2019	274	1	0	1	0	0	5	0	281
2020	262	1	0	0	0	0	3	0	266
2021	230	1	0	0	0	0	0	0	231
2022	231	0	0	0	0	0	2	0	233
2023	235	1	0	0	0	0	2	0	238

Data source: National Center for Education Statistics, U.S. Dept of Education.

About Enrollment/Ethnicity

For more information about how the Department of Education defines ethnicity, see Defining Race and Ethnicity Data, National Center for Education Statistics

Students eligible for free or discounted lunch at Kenna Elementary School

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Year	# Students	Full-time Teachers	Student/Teacher ratio	% Free/Discounted Lunch
1989	299	20.9	14.3	n/a
1990	291	19.4	15.0	41.2
1991	272	19.0	14.3	41.2
1992	297	19.0	15.6	46.5
1993	307	16.0	19.2	46.9
1994	303	17.6	17.2	41.6
1995	314	18.9	16.6	41.4
1996	314	18.9	16.6	41.4
1997	297	19.6	15.2	38
1998	311	20.2	15.4	36
1999	330	20.1	16.4	43.9
2000	309	19.7	15.7	41.4
2001	297	18.5	16.1	38.4
2002	306	20.5	14.9	45.4
2003	306	20.5	14.9	45.4
2004	301	19.7	15.3	46.5
2005	306	20.2	15.1	44.1
2006	325	21.7	15.0	42.5
2007	346	21.7	15.9	45.4
2008	367	20.9	17.6	44.1
2009	372	22.5	16.5	38.2
2010	376	22.3	16.8	46.3
2011	344	21.1	16.2	45.3
2012	354	23.4	15.1	48.3
2013	355	25.5	13.8	51
2014	339	22.3	15.2	n/a
2015	334	23.0	14.5	36.8
2016	300	22.0	13.6	41.3
2017	291	18.5	15.6	36.1
2018	286	18.4	15.5	48.3
2019	281	18.4	15.2	43.4
2020	266	18.6	14.2	45.9
2021	231	18.1	12.7	43.3
2022	233	19.1	12.1	n/a
2023	238	19.1	12.4	n/a

Data source: National Center for Education Statistics, U.S. Dept of Education.

About Students eligible for discounted/free lunch:

The National School Lunch Program (NSLP) provides low-cost or free meals to students in U.S. public and nonprofit private schools based on household income. Those with incomes below 130% of the poverty line receive free lunch, while those between 130% and 185% qualify for reduced-price lunch. The percentage of students receiving free or reduced-price lunch serves as a marker for poverty, as it reflects the socioeconomic status of families in a given school or district. A higher FRPL rate typically indicates a higher concentration of low-income families, suggesting that the school or district may face additional challenges in providing adequate resources and support for student success.

Student/Teacher Ratio Kenna Elementary School

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Year	# Students	Full-time Teachers	Student/Teacher ratio	% Free/Discounted Lunch
1989	299	20.9	14.3	n/a
1990	291	19.4	15.0	41.2
1991	272	19.0	14.3	41.2
1992	297	19.0	15.6	46.5
1993	307	16.0	19.2	46.9
1994	303	17.6	17.2	41.6
1995	314	18.9	16.6	41.4
1996	314	18.9	16.6	41.4
1997	297	19.6	15.2	38
1998	311	20.2	15.4	36
1999	330	20.1	16.4	43.9
2000	309	19.7	15.7	41.4
2001	297	18.5	16.1	38.4
2002	306	20.5	14.9	45.4
2003	306	20.5	14.9	45.4
2004	301	19.7	15.3	46.5
2005	306	20.2	15.1	44.1
2006	325	21.7	15.0	42.5
2007	346	21.7	15.9	45.4
2008	367	20.9	17.6	44.1
2009	372	22.5	16.5	38.2
2010	376	22.3	16.8	46.3
2011	344	21.1	16.2	45.3
2012	354	23.4	15.1	48.3
2013	355	25.5	13.8	51
2014	339	22.3	15.2	n/a
2015	334	23.0	14.5	36.8
2016	300	22.0	13.6	41.3
2017	291	18.5	15.6	36.1
2018	286	18.4	15.5	48.3
2019	281	18.4	15.2	43.4
2020	266	18.6	14.2	45.9
2021	231	18.1	12.7	43.3
2022	233	19.1	12.1	n/a
2023	238	19.1	12.4	n/a

Data source: National Center for Education Statistics, U.S. Dept of Education.

About Student-Teacher Ratio

Student/teacher ratio is calculated by dividing the total number of students by the total number of full-time equivalent teachers. Please note that a smaller student/teacher ratio does not necessarily translate to smaller class size. In some instances, schools hire teachers part time, and some teachers are hired for specialized instruction with very small class sizes. These and other factors contribute to the student/teacher ratio. Note: For private schools, Student/teacher ratio may not include Pre-Kindergarten.

Finances

Per Pupil Expenditures for Kenna Elementary School

Year	Expenditures from Federal Funds	Expenditures from State and Local Funds	Total Expenditures Per Pupil (All Funds)
2019	$1,119 (9.0%)	$11,260 (91.0%)	$12,380

Data source: West Virginia Department of Education

Pre and Post Pandemic Data

Impact of COVID-19 on Kenna Elementary School

The coronavirus has had a profound impact on education in America. Learning shifted online overnight, attendance numbers dwindled, and enrollment decreased. SchoolDigger.com is making it easier for you to better assess how COVID-19 has impacted your school. Through the collection of pre-pandemic (2019) and current data, SchoolDigger.com is sharing test scores, enrollment numbers and school demographics from schools across the country – and we make it easy to see how impacted schools compare locally and statewide.

Rankings

Rank Pre-pandemic (2018-2019)	Rank Post pandemic (2022-2023)	Change (%)
Ranks 98^th of 383 Elementary schools	Ranks 88^th of 368 Elementary schools	1.7%

Test Scores

	% proficient Pre-pandemic (2018-2019)	% proficient Post pandemic (2022-2023)	Change (%)
3rd Grade Mathematics (Kenna Elementary School)	64.7	63	1.7%
3rd Grade Mathematics (Jackson County Schools)	59.1	63.6	4.5%
3rd Grade Mathematics (West Virginia)	50.9	51.6	0.7%
3rd Grade English Language Arts (Kenna Elementary School)	64.7	55.6	9.1%
3rd Grade English Language Arts (Jackson County Schools)	49.4	50.4	1.1%
3rd Grade English Language Arts (West Virginia)	44	39.9	4.1%
4th Grade Mathematics (Kenna Elementary School)	59.6	31.1	28.5%
4th Grade Mathematics (Jackson County Schools)	61.8	57.3	4.5%
4th Grade Mathematics (West Virginia)	47.3	45.7	1.6%
4th Grade English Language Arts (Kenna Elementary School)	53.2	37.8	15.4%
4th Grade English Language Arts (Jackson County Schools)	54.9	49.2	5.7%
4th Grade English Language Arts (West Virginia)	48.8	44.2	4.5%
5th Grade Mathematics (Kenna Elementary School)	33.3	54.6	21.3%
5th Grade Mathematics (Jackson County Schools)	50.6	48.6	2%
5th Grade Mathematics (West Virginia)	40	38.1	1.9%
5th Grade English Language Arts (Kenna Elementary School)	64.6	78.8	14.2%
5th Grade English Language Arts (Jackson County Schools)	55.2	54.7	0.5%
5th Grade English Language Arts (West Virginia)	47.2	44.3	2.9%
5th Grade Science (Kenna Elementary School)	35.4	45.5	10.1%
5th Grade Science (Jackson County Schools)	41.3	31.9	9.4%
5th Grade Science (West Virginia)	35.4	30.8	4.6%

Student Body

	Number of students Pre-pandemic (2018-2019)	Number of students Post pandemic (2022-2023)	Change (%)
Total Students	281	238	15.3%
African American	1	1
American Indian	0	0
Asian	0	0
Hispanic	1	0	100%
Pacific Islander	0	0
White	274	235	14.2%
Two or More Races	5	2	60%

Schools Near Kenna Elementary School

Choose columns to see: Summary School Students/Teachers Ranking Test Scores Finance All

School													Students/Teachers											Ranking (2024)				Ranking (2023)				WV Assessment Mathematics (2024)						WV Assessment English Language Arts (2024)						WV Assessment Science (2024)		Per Pupil Expenditures (2019)
Name	Type	Grades	Address	City	Zip	County	District	Is Charter	Is Magnet	Is Virtual	Is Title I	Phone	Enrollment	Full-time Teachers	Student/ Teacher Ratio	Free/Discounted Lunch Recipients	White	Black	Hispanic	Asian	American Indian	Pacific Islander	Two or More Races	Average Standard Score (2024)	Statewide Rank (2024)	State Percentile (2024)	SchoolDigger Rating (2024)	Average Standard Score (2023)	Statewide Rank (2023)	State Percentile (2023)	Rank Change from Previous Year	WV Assessment Mathematics 3rd Grade	WV Assessment Mathematics 4th Grade	WV Assessment Mathematics 5th Grade	WV Assessment Mathematics 6th Grade	WV Assessment Mathematics 7th Grade	WV Assessment Mathematics 8th Grade	WV Assessment English Language Arts 3rd Grade	WV Assessment English Language Arts 4th Grade	WV Assessment English Language Arts 5th Grade	WV Assessment English Language Arts 6th Grade	WV Assessment English Language Arts 7th Grade	WV Assessment English Language Arts 8th Grade	WV Assessment Science 5th Grade	WV Assessment Science 8th Grade	Per Pupil Expenditures Total	Sub-total from Federal Funds	Sub-total from State/Local Funds
Kenna Elementary School	Public	PK, KG-5	275 Business Park Dr	Kenna	25248	Jackson County	Jackson County Schools	No	No	No	Yes	(304) 372-2262	238	19	12.4		235 (98.7%)	1 (0.4%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	2 (0.8%)	67	95^th of 368 public elementary schools	74.2%		68.8	88^th of 368 public elementary schools	76.1%	7	63.9	66.7	31.6				44.4	83.3	50.0				39.5		$12,380	$1,119	$11,261
Fairplain Elementary School	Public	PK, KG-5	51 Panther Dr	Ripley	25271	Jackson County	Jackson County Schools	No	No	No	Yes	(304) 372-7340	168	15	11.3		164 (97.6%)	2 (1.2%)	2 (1.2%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	65.5	100^th of 368 public elementary schools	72.8%		54.4	148^th of 368 public elementary schools	59.8%	48	81.8	76.2	34.5				77.3	47.6	48.3				20.7		$12,718	$1,165	$11,553
Confidence Elementary	Public	PK, KG-5	8786 McLane Pike	Liberty	25124	Putnam County	Putnam County Schools	No	No	No	Yes	(304) 586-2041	104	11	9.4		104 (100.0%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	88.3	26^th of 368 public elementary schools	92.9%		85.3	33^rd of 368 public elementary schools	91.0%	7	93.8	63.6	47.4				81.3	81.8	73.7				42.1		$14,098	$514	$13,585
Sissonville Elementary School	Public	PK, KG-4	8324 Sissonville Dr	Sissonville	25320	Kanawha County	Kanawha County Schools	No	No	No	No	(304) 348-1961	242	14	17.2		236 (97.5%)	1 (0.4%)	2 (0.8%)	0 (0.0%)	1 (0.4%)	0 (0.0%)	2 (0.8%)	27	297^th of 368 public elementary schools	19.3%		28.5	293^rd of 368 public elementary schools	20.4%	4	46.3	36.6					39.0	29.3							$13,111	$2,385	$10,726
Ripley Elementary School	Public	PK, KG-5	404 2nd Ave	Ripley	25271	Jackson County	Jackson County Schools	No	No	No	Yes	(304) 372-7345	563	45	12.4		542 (96.3%)	3 (0.5%)	8 (1.4%)	2 (0.4%)	1 (0.2%)	0 (0.0%)	7 (1.2%)	57.4	144^th of 368 public elementary schools	60.9%		55.5	147^th of 368 public elementary schools	60.1%	3	56.2	48.4	45.9				53.9	62.5	45.4				22.4		$12,334	$1,734	$10,600
Flinn Elementary School	Public	PK, KG-4	2006 McClure Pkwy	Charleston	25312	Kanawha County	Kanawha County Schools	No	No	No	No	(304) 348-1960	439	27	16.5		425 (96.8%)	2 (0.5%)	1 (0.2%)	1 (0.2%)	0 (0.0%)	0 (0.0%)	10 (2.3%)	39.4	238^th of 368 public elementary schools	35.3%		40.9	228^th of 368 public elementary schools	38.0%	10	51.5	40.0					50.0	32.9							$11,495	$1,168	$10,327
Evans Elementary School	Public	PK, KG-5	205 Schoolhouse Dr	Evans	25241	Jackson County	Jackson County Schools	No	No	No	No	(304) 372-7333	137	13	10.7		133 (97.1%)	0 (0.0%)	2 (1.5%)	1 (0.7%)	0 (0.0%)	0 (0.0%)	1 (0.7%)	90.3	18^th of 368 public elementary schools	95.1%		93.8	12^th of 368 public elementary schools	96.7%	6	76.5	69.6	65.5				70.6	65.2	72.4				44.8		$13,018	$960	$12,058
Walton Elementary/Middle School	Public	PK, KG-8	90 School Dr	Walton	25286	Roane County	Roane County Schools	No	No	No	Yes	(304) 577-6731	241	25	9.6		238 (98.8%)	0 (0.0%)	1 (0.4%)	1 (0.4%)	0 (0.0%)	0 (0.0%)	1 (0.4%)	41.6	230^th of 368 public elementary schools	37.5%		51.2	167^th of 368 public elementary schools	54.6%	63	46.4	42.1	37.5	36.4	30.8	20.0	32.1	26.3	33.3	63.6	57.7	56.0	29.2	20.0	$11,790	$1,859	$9,931
Hometown Elementary	Public	PK, KG-5	Route 62 107 School Lane	Hometown	25109	Putnam County	Putnam County Schools	No	No	No	Yes	(304) 586-0746	52	7	7.4		50 (96.2%)	0 (0.0%)	1 (1.9%)	0 (0.0%)	0 (0.0%)	0 (0.0%)	1 (1.9%)								(n/a)	81.8						90.9								$21,610	$2,617	$18,993
Poca Elementary	Public	PK, KG-5	Route 62 2986 Charleston Rd.	Poca	25159	Putnam County	Putnam County Schools	No	No	No	Yes	(304) 755-6942	286	23	12.4		281 (98.3%)	2 (0.7%)	0 (0.0%)	0 (0.0%)	1 (0.3%)	0 (0.0%)	2 (0.7%)	54.4	155^th of 368 public elementary schools	57.9%		49.6	176^th of 368 public elementary schools	52.2%	21	70.0	50.0	31.7				45.0	42.5	41.5				43.9		$11,583	$1,402	$10,181

Kenna Elementary School

Kenna Elementary School:

Elementary School Test Score Ratings by Student Subgroup:

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