Find the five-number summary of the scores in the Math 130 test pre- sented in Table 4.1, page 112. Draw the boxplot.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Find the five-number summary of the scores in the Math 130 test pre-
sented in Table 4.1, page 112. Draw the boxplot.
![ID
Score
ID
Score
ID
Score
ID
Score
ID
Score
0104
78
6607
88
1491
7959
65
8882
62
2026
55
8101
55
9046
91
31
3920
24
6293
62
0980
9130
5036
85
6764
84
6337
77
2193
95
80
2639
83
1769
75
7935
84
1364
50
62
7380
40
8138
69
2737
73
0467
56
4623
80
9163
93
4257
76
6187
81
4516
78
1269
23
9884
2860
0816
64
3891
61
7435
89
34
9842
55
4022
82
5267
73
9620
71
99
2828
63
9802
95
9393
64
6461
84
7439
78
1878
8416
83
6835
9374
58
0550
94
5178
79
7348
88
90
73
9027
92
6145
67
2640
86
4261
99
2007
0620
20
7387
9728
75
82
4031
57
3590
90
61
3621
73
3885
68
9533
70
2306
98
6228
87
9554
82
3467
74
6990
88
2778
95
2458
2627
0341
7538
94
9098
68
6794
66
2508
71
5081
68
91
9449
91
3302
82
8054
99
7077
87
61
1176
83
0573
96
4671
93
2883
81
61
1085
67
0387
57
3962
77
6869
80
58
96
8870
3902
8708
86
8920
71
1530
89
2708
64
1235
39
4790
60
3068
74
7277
67
3403
6448
8750
64
58
81
1924
89
7033
92
6956
60
4551
65
5381
92
0508
54
8538
65
4997
81
4490
77
8626
93
2090
72
7227
86
1285
95
9883
97
8795
79
8362
91
4920
85
7897
55
2878
63
3427
76
9766
82
0072
86
0841
2365
73
3628
77
3997
74
0749
81
4303
73
56
6229
90
5027
76
5710
85
3353
74
Table 4.1: Math 130 First Test Scores](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9f708ba-b402-447d-aad0-ca9cd29788d6%2Fee995eca-b7a1-40db-8019-fba7162fb486%2Fyq1342_processed.png&w=3840&q=75)
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