Number of Manufacturing Businesses by Number of Employees State 1-4 5-9 10–19 20–49 50–99 100–249 250–499 500–999 1000+ California 15,320 7,074 5,862 5,494 2,276 1,609 433 144 81 Illinois 4,683 2,234 2,103 2,165 1,123 852 241 96 34 Indiana 2,225 1,319 1,276 1,403 797 640 229 99 48 Michigan 4,055 2,103 2,008 2,044 974 800 254 76 47 New York 7,048 2,810 2,342 2,134 885 587 171 75 24 Ohio 4,274 2,469 2,281 2,495 1,233 982 311 112 51 Pennsylvania 4,505 2,292 2,185 2,335 1,125 860 268 79 35 Техas 7,019 3,409 2,994 3,078 1,501 1,114 358 145 63 Wisconsin 2,657 1,372 1,342 1,520 889 725 227 97 29

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I'm working a case study for statistics and I wanted to verify if I did the problem correctly before submittal. Can you please look over my answer? Thank you for your assistance

Question: Standard Deviation - Which state has the greatest standard deviation? Explain your reasoning.

My answer

Indiana is the state that has the greatest standard deviation. The findings suggest that the quantity of employees varied more compared to the mean value.

Thank you for assistance, I greatly appreciate your help!

Number of Manufacturing Businesses by Number of Employees
State
1-4
5-9
10–19
20–49
50–99
100–249
250–499
500–999
1000+
California
15,320
7,074
5,862
5,494
2,276
1,609
433
144
81
Illinois
4,683
2,234
2,103
2,165
1,123
852
241
96
34
Indiana
2,225
1,319
1,276
1,403
797
640
229
99
48
Michigan
4,055
2,103
2,008
2,044
974
800
254
76
47
New York
7,048
2,810
2,342
2,134
885
587
171
75
24
Ohio
4,274 2,469
2,281
2,495
1,233
982
311
112
51
Pennsylvania
4,505
2,292
2,185
2,335
1,125
860
268
79
35
Техas
7,019
3,409
2,994
3,078
1,501
1,114
358
145
63
Wisconsin
2,657
1,372
1,342
1,520
889
725
227
97
29
Transcribed Image Text:Number of Manufacturing Businesses by Number of Employees State 1-4 5-9 10–19 20–49 50–99 100–249 250–499 500–999 1000+ California 15,320 7,074 5,862 5,494 2,276 1,609 433 144 81 Illinois 4,683 2,234 2,103 2,165 1,123 852 241 96 34 Indiana 2,225 1,319 1,276 1,403 797 640 229 99 48 Michigan 4,055 2,103 2,008 2,044 974 800 254 76 47 New York 7,048 2,810 2,342 2,134 885 587 171 75 24 Ohio 4,274 2,469 2,281 2,495 1,233 982 311 112 51 Pennsylvania 4,505 2,292 2,185 2,335 1,125 860 268 79 35 Техas 7,019 3,409 2,994 3,078 1,501 1,114 358 145 63 Wisconsin 2,657 1,372 1,342 1,520 889 725 227 97 29
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