School Type Median SAT Acceptance Rate Expenditures Student Top 10 HS Graduation Amherst Lib Arts 1315 22 26636 85 93 Barnard Lib Arts 1220 53 17653 69 80 Bates Lib Arts 1240 36 17554 58 88 Berkeley University 1176 37 23665 95 68 Bowdoin Lib Arts 1300 24 25703 78 90 Brown University 1281 24 24201 80 90 Bryn Mawr Lib Arts 1255 56 18847 70 84 Cal Tech University 1400 31 102262 98 75 Carleton Lib Arts 1300 40 15904 75 80 Carnegie Mellon University 1225 64 33607 52 77 Claremont McKenna Lib Arts 1260 36 20377 68 74 Colby Lib Arts 1200 46 18872 52 84 Colgate Lib Arts 1258 38 17520 61 85 Columbia University 1268 29 45879 78 90 Cornell University 1280 30 37137 85 83 Davidson Lib Arts 1230 36 17721 77 89 Duke University 1310 25 39504 91 91 Georgetown University 1278 24 23115 79 89 Grinnell Lib Arts 1244 67 22301 65 73 Hamilton Lib Arts 1215 38 20722 51 85 Harvard University 1370 18 46918 90 90 Haverford Lib Arts 1285 35 19418 71 87 Johns Hopkins University 1290 48 45460 69 86 Middlebury Lib Arts 1255 25 24718 65 92 MIT University 1357 30 56766 95 86 Mount Holyoke Lib Arts 1200 61 23358 47 83 Northwestern University 1230 47 28851 77 82 Oberlin Lib Arts 1247 54 23591 64 77 Occidental Lib Arts 1170 49 20192 54 72 Pomona Lib Arts 1320 33 26668 79 80 Princeton University 1340 17 48123 89 93 Rice University 1327 24 26730 85 88 Smith Lib Arts 1195 57 25271 65 87 Stanford University 1370 18 61921 92 88 Swarthmore Lib Arts 1310 24 27487 78 88 U Michigan University 1195 60 21853 71 77 U of Chicago University 1300 45 38937 74 73 U of Rochester University 1155 56 38597 52 73 U Pennsylvania University 1280 41 30882 87 86 U Va University 1218 37 19365 77 88 UCLA University 1142 43 26859 96 61 UNC University 1109 32 19684 82 73 Vassar Lib Arts 1287 43 20179 53 84 Washington U (MO) University 1225 54 39883 71 76 Washington and Lee Lib Arts 1234 29 17998 61 78 Wellesley Lib Arts 1250 49 27879 76 86 Wesleyan (CT) Lib Arts 1290 35 19948 73 91 Williams Lib Arts 1336 28 23772 86 93 Yale University 1350 19 52468 90 93 For the three clusters identified in the accompanying Distance Matrix After Second Clustering table, find the average and standard deviations of each numerical variable for the schools in each cluster and compare them with the average and standard deviation for the entire data set Does the clustering show distinct differences among these clusters Click tn view the C nllenes and I Iniversities data Compute the overall mean and overall standard deviation for each numerical variable Compute the mean and standard deviation for each numerical variable for the first cluster, and then compute the differences between these values and the overall data's values for comparison (Round to two decimal places as needed Type N if the solution is undefined ) For the three clusters identified in the accompanying Distance Matrix After Second Clustering table, find the average and standard deviations of each numerical variable for the schools in each cluster and compare them with the average and standard deviation for the entire data set Does the clustering show distinct differences among these clusters Click tn view the C nllenes and I Iniversities data Compute the overall mean and overall standard deviation for each numerical variable Compute the mean and standard deviation for each numerical variable for the first cluster, and then compute the differences between these values and the overall data's values for comparison (Round to two decimal places as needed Type N if the solution is undefined )

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School Type Median SAT Acceptance Rate Expenditures/Student Top 10% HS Graduation % Amherst Lib Arts 1315 22 26636 85 93 Barnard Lib Arts 1220 53

School	Type	Median SAT	Acceptance Rate	Expenditures/Student	Top 10% HS	Graduation %
Amherst	Lib Arts	1315	22	26636	85	93
Barnard	Lib Arts	1220	53	17653	69	80
Bates	Lib Arts	1240	36	17554	58	88
Berkeley	University	1176	37	23665	95	68
Bowdoin	Lib Arts	1300	24	25703	78	90
Brown	University	1281	24	24201	80	90
Bryn Mawr	Lib Arts	1255	56	18847	70	84
Cal Tech	University	1400	31	102262	98	75
Carleton	Lib Arts	1300	40	15904	75	80
Carnegie Mellon	University	1225	64	33607	52	77
Claremont McKenna	Lib Arts	1260	36	20377	68	74
Colby	Lib Arts	1200	46	18872	52	84
Colgate	Lib Arts	1258	38	17520	61	85
Columbia	University	1268	29	45879	78	90
Cornell	University	1280	30	37137	85	83
Davidson	Lib Arts	1230	36	17721	77	89
Duke	University	1310	25	39504	91	91
Georgetown	University	1278	24	23115	79	89
Grinnell	Lib Arts	1244	67	22301	65	73
Hamilton	Lib Arts	1215	38	20722	51	85
Harvard	University	1370	18	46918	90	90
Haverford	Lib Arts	1285	35	19418	71	87
Johns Hopkins	University	1290	48	45460	69	86
Middlebury	Lib Arts	1255	25	24718	65	92
MIT	University	1357	30	56766	95	86
Mount Holyoke	Lib Arts	1200	61	23358	47	83
Northwestern	University	1230	47	28851	77	82
Oberlin	Lib Arts	1247	54	23591	64	77
Occidental	Lib Arts	1170	49	20192	54	72
Pomona	Lib Arts	1320	33	26668	79	80
Princeton	University	1340	17	48123	89	93
Rice	University	1327	24	26730	85	88
Smith	Lib Arts	1195	57	25271	65	87
Stanford	University	1370	18	61921	92	88
Swarthmore	Lib Arts	1310	24	27487	78	88
U Michigan	University	1195	60	21853	71	77
U of Chicago	University	1300	45	38937	74	73
U of Rochester	University	1155	56	38597	52	73
U Pennsylvania	University	1280	41	30882	87	86
U Va	University	1218	37	19365	77	88
UCLA	University	1142	43	26859	96	61
UNC	University	1109	32	19684	82	73
Vassar	Lib Arts	1287	43	20179	53	84
Washington U (MO)	University	1225	54	39883	71	76
Washington and Lee	Lib Arts	1234	29	17998	61	78
Wellesley	Lib Arts	1250	49	27879	76	86
Wesleyan (CT)	Lib Arts	1290	35	19948	73	91
Williams	Lib Arts	1336	28	23772	86	93
Yale	University	1350	19	52468	90	93

For the three clusters identified in the accompanying Distance Matrix After Second Clustering table, find the average and standard deviations of each numerical variable for the schools in each cluster and compare them with the average and standard deviation for the entire data set. Does the clustering show distinct differences among these clusters? Click tn view the C.nllenes and I Iniversities data Compute the overall mean and overall standard deviation for each numerical variable. Compute the mean and standard deviation for each numerical variable for the first cluster, and then compute the differences between these values and the overall data's values for comparison. (Round to two decimal places as needed. Type N if the solution is undefined.) For the three clusters identified in the accompanying Distance Matrix After Second Clustering table, find the average and standard deviations of each numerical variable for the schools in each cluster and compare them with the average and standard deviation for the entire data set. Does the clustering show distinct differences among these clusters? Click tn view the C.nllenes and I Iniversities data Compute the overall mean and overall standard deviation for each numerical variable. Compute the mean and standard deviation for each numerical variable for the first cluster, and then compute the differences between these values and the overall data's values for comparison. (Round to two decimal places as needed. Type N if the solution is undefined.)