Econ203
Assignment 10
1.
a.
b.
c.
Table below summarizes the distribution of number of students in each class at MSU.
What is the Expected Values of number of students per class at MSU?
What is the Variance of the number of students?
What is the standard deviation of the number of students?
Number of
Students
10
11
15
26
28
Probability
0.15
0.25
0.25
0.10
0.25
1. say you ask 20 people to sample a new flavor of candy, then indicate how much they
liked it on a scale from 1 to 5 (with 5 being “very tasty” and 1 being “tastes horrible”).
You obtain the following results:
3, 1, 3, 2, 2, 1, 2, 3, 2, 4, 5, 4, 5, 3, 4, 3, 4, 1, 4, 4, 1, 5
Create a frequency or a pie chart. (on paper or with Excel)
2. Read the description of the data (ch8_cps.docx), get comfortable and familiar with
variables.
a. Open the data in excel.
b. Find and report sample mean, median, and mode for variable he ge
¥male rseduc (Don forget to mention the unit of each variable. age=29
years! ), also what does the mean of ¡chelor-ean?
c. Provide the histogram for the variable he The bin width is your choice but
change the default option and make sure your histogram is informative and easy to
read. What is the bin/interval with highest number of observations? What is the
bin/interval with the least number of observations?
ahe
13.0769234
38.4615402
62.3931618
21.3675213
15.6862745
22.5961533
62.125
12.1794872
24.0384617
16.1713295
16.1713295
38.4615402
15.3846149
22.1153851
29.8076916
26.4423084
14.1025639
12.5192308
14.4230766
11.2179489
25.6410255
12.5
38.4615402
24.0384617
34.1880341
38.4615402
10.2564106
14.4230766
15.3846149
34.1346169
10.8173075
10.0961542
22.5961533
9.34065914
12.5
10
10.5
14.8901711
60.0961533
11.2179489
24.0384617
11.6230774
12.9355774
21.5705128
24.6153851
19.791666
yrseduc
13
18
12
18
14
13
13
12
14
16
16
16
14
14
12
12
11
13
19
16
14
16
14
14
16
14
13
12
12
14
14
12
19
12
14
13
13
13
13
12
12
12
16
18
16
13
female
1
0
0
0
0
1
0
0
1
0
1
0
1
0
0
0
0
0
1
0
1
0
0
1
0
1
0
1
0
1
1
0
0
1
0
1
0
1
1
1
0
1
0
0
0
0
age
56
59
52
38
38
41
42
48
42
51
49
33
52
55
51
59
52
44
37
59
35
31
44
41
46
45
24
59
57
33
41
44
39
52
52
34
37
37
43
42
43
64
56
51
54
36
northeast
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
midwest
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
south
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
west
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
21.1538467
19.0591354
23.5576916
19.5804195
25
12.0192308
16.3461533
7.51282072
7.69230747
14.6853151
2.40384626
4.56730747
14.4230766
55.3846169
11.1888113
12.0192308
6.44970417
13.9423075
9.85714245
5.76923084
4.27350426
22.5961533
8.24175835
26.4957256
17.7884617
10.0961542
14.4230766
2.7472527
11.5384617
26.2136745
20.0485573
79.2185287
18.2692299
13.6752138
19.2307701
9.34065914
26.1706734
16.8269234
23.0769234
23.0769234
10.5769234
19.2307701
12.5
12.0192308
17.7884617
32.051281
27.8846149
16
12
16
18
12
13
13
16
12
16
12
13
18
14
13
13
12
12
12
12
12
18
12
12
12
12
12
12
14
12
16
18
12
12
12
12
16
13
14
14
12
12
9
13
16
16
12
1
1
1
0
0
0
1
1
0
1
0
0
1
0
0
1
0
0
0
1
0
1
0
0
0
1
0
1
0
0
0
1
0
1
0
1
1
1
1
1
0
0
1
0
0
1
0
49
50
50
41
21
30
43
62
23
53
58
27
25
41
56
35
38
43
30
38
40
41
30
46
31
29
47
38
36
41
52
51
45
45
47
23
38
51
60
54
55
59
44
59
26
38
45
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
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0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
30.3846149
38.4615402
40.8653831
14.5299149
19.0281067
27.2435894
30.3418808
10.0961542
14.9038458
23.5576916
11.9658117
25.6410255
19.2307701
11.2205
11.7521372
18.2692299
28.8461533
9.61538506
18.75
9.92063522
24.0384617
24.0384617
45.3846169
30.9515381
15.7342653
18.7388191
13.0956726
18.229166
12.5
23.5042744
8
25.4807701
23.6686382
14.5299149
13.7362633
15.3846149
15.3846149
16.5598297
21.5384617
11.5384617
12.0192308
15.8653851
18.2692299
11.8461542
24.8397427
24.0384617
12.1538458
16
12
16
18
14
13
16
11
13
11
9
18
16
13
12
12
14
13
12
16
12
14
16
13
14
14
12
12
12
16
18
16
16
13
9
12
13
12
12
12
16
12
16
12
12
13
13
0
0
0
1
0
0
0
0
1
0
0
0
1
0
1
0
1
1
0
1
0
0
0
1
0
0
0
0
1
1
1
1
0
0
0
1
1
0
1
0
1
0
0
0
0
0
0
28
58
52
28
42
63
45
35
27
33
22
39
41
33
37
37
57
59
54
50
63
30
47
51
27
35
59
43
48
50
51
49
30
55
53
38
46
50
49
46
25
26
56
25
51
41
59
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
0
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0
0
0
0
0
0
0
0
0
0
0
0
28.8461533
11.0576925
9.44090939
11.0576925
20.1923084
14.4230766
13.4615383
38.4615402
11.5384617
13.0341883
13.9860144
17.094017
19.2307701
32.2115402
12
9.61538506
8.24175835
10.5769234
19.2307701
13.7362633
14.4230766
10.5769234
12.3076925
15.8216782
25.6410255
15.9615383
16.8269234
20.7100601
32.051281
15.3846149
24.0384617
25.9125004
16.3999996
9.090909
11.9168272
15.3846149
9.61538506
7.21153831
13.1118879
7.74572659
7.77000761
14.4230766
18.2186241
16.8269234
38.4615402
4.80769253
14.4230766
12
12
12
12
12
13
12
18
18
16
16
12
12
12
12
12
13
12
14
14
14
13
16
12
16
12
13
12
14
12
16
13
16
12
12
12
12
13
12
12
12
12
16
16
16
14
14
0
1
0
1
0
1
1
1
0
1
0
0
0
0
0
1
1
1
0
1
0
1
1
0
1
1
0
0
1
0
0
1
0
0
1
1
0
1
0
1
0
0
1
0
0
0
1
30
61
31
63
32
32
31
54
63
27
61
47
59
58
24
46
51
35
32
29
46
43
43
36
31
47
48
38
36
45
36
43
42
59
56
54
59
61
47
50
51
23
32
37
48
41
34
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
0
0
0
0
0
0
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0
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0
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0
11.4468861
9.13461494
16.9871788
23.0769234
12.5
8.54700851
25.7692299
30.0009613
28.8461533
9.61538506
18.6538467
8.75384617
7.98611116
16.8269234
9.67980766
23.9316235
12.0192308
7.21153831
23.0769234
8.65384579
47.6190491
12.0192308
24.0384617
9.61538506
17.2064781
11.5384617
40.8653831
3.84679484
11.9230766
22.4358978
11.539423
19.2307701
30.4487171
46.3600578
22.5524483
18.2692299
14.4230766
13.0769234
7.69230747
17.0532055
51.9230766
19.7115383
17.1052628
9.13461494
8.17307663
11.5384617
9.39375019
12
13
13
14
14
12
16
14
12
14
12
16
12
12
13
16
16
13
18
18
16
13
12
12
13
13
16
12
12
12
12
14
16
18
12
14
12
12
14
14
14
11
12
12
12
13
12
1
1
0
0
1
0
0
0
0
1
0
1
0
0
1
0
0
1
0
1
1
0
0
1
1
1
0
1
0
0
1
0
0
0
1
1
1
0
0
1
0
0
1
0
1
0
0
46
61
36
40
40
51
44
62
44
48
45
27
53
37
23
44
29
25
55
52
36
32
39
37
53
35
38
42
42
34
39
37
45
51
48
44
26
26
41
41
44
48
21
48
39
51
28
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
0
0
0
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0
10.1796875
15.7692308
17.5729446
19.2307701
29.8076916
7.48356628
24.0384617
12.5
12.5
32.051281
13.4615383
13.6752138
22.2222214
45.6730766
24.0384617
15.3846149
23.0769234
16.1538467
12.0192308
22.2222214
14.4230766
14.4230766
18.75
28.8461533
5.76923084
11.8083668
12.5895605
19.2307701
20.5882359
5.49450541
15.3846149
20.9790211
9.61538506
23.0769234
16.1057701
10.5769234
8.65384579
8.46153831
13.2004805
9.76490402
6.74763823
13.4615383
13.4615383
16.8269234
23.0769234
13.7362633
7.21153831
16
18
14
16
16
14
13
12
14
12
13
16
18
16
12
14
13
16
14
12
12
14
12
16
16
12
12
18
18
12
13
12
16
12
12
12
12
12
12
12
12
13
12
14
12
13
12
1
1
0
1
0
1
1
1
0
0
1
0
1
1
0
1
0
1
1
0
1
0
1
0
1
0
1
0
0
0
0
0
1
0
0
1
0
0
0
1
0
0
0
1
0
0
1
25
32
27
49
33
61
31
56
37
34
47
40
46
40
35
38
38
41
45
41
45
40
44
40
39
21
59
56
55
24
29
48
43
38
45
49
25
29
54
37
40
29
59
43
48
37
32
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
1
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