EXAMPLE 1. We have two sets of scores in a mathematics test given to grade 10 boys and girls. Here are the sets of scores with 100 as the highest possible score. 74 74 78 85 Вoys: 89 88 86 81 87 73 81 75 89 87 89 88 88 93 76 86 92 74 90 90 79 92 94 94 Girls: 72 78 75 78 75 90 76 72 92 85 76 71 86 75 96 71 74 76 87 74 80 81 75 74 71 76 71 71 Let us compare the two sets of scores of the boys and those of the girls by considering the statistical values, namely, the range, mean, and standard deviation. Boys Girls n, number of observation 28 28 range 94-73-21 96-71-25 x, mean of the distribution 84.71 77.79 S, standard deviation 6.84 6.90 Interpretation: The range of the scores of the boys is 21; the range of the scores of the girls is 25. There is a wider gap between the highest and lowest observations in the set of scores of the girls. A girl is the "top" scorer for this test, a 96. However, the lowest score of 71 for the test is found of the set of scores of the girls.28 girls who took the same test The mean, also called the average, of the 28 boys who took the math test is 84.71. This mean score is higher than 77.79, the mean of the 28 girls who took the same test. The mean difference in the scores in the test of the two groups is 6.92.
EXAMPLE 1. We have two sets of scores in a mathematics test given to grade 10 boys and girls. Here are the sets of scores with 100 as the highest possible score. 74 74 78 85 Вoys: 89 88 86 81 87 73 81 75 89 87 89 88 88 93 76 86 92 74 90 90 79 92 94 94 Girls: 72 78 75 78 75 90 76 72 92 85 76 71 86 75 96 71 74 76 87 74 80 81 75 74 71 76 71 71 Let us compare the two sets of scores of the boys and those of the girls by considering the statistical values, namely, the range, mean, and standard deviation. Boys Girls n, number of observation 28 28 range 94-73-21 96-71-25 x, mean of the distribution 84.71 77.79 S, standard deviation 6.84 6.90 Interpretation: The range of the scores of the boys is 21; the range of the scores of the girls is 25. There is a wider gap between the highest and lowest observations in the set of scores of the girls. A girl is the "top" scorer for this test, a 96. However, the lowest score of 71 for the test is found of the set of scores of the girls.28 girls who took the same test The mean, also called the average, of the 28 boys who took the math test is 84.71. This mean score is higher than 77.79, the mean of the 28 girls who took the same test. The mean difference in the scores in the test of the two groups is 6.92.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
Compare the two sets of scorce using the range, mean, and standard deviation and interpret the results. See example 1.
Transcribed Image Text:EXAMPLE 1.
We have two sets of scores in a mathematics test given to grade 10 boys and girls. Here
are the sets of scores with 100 as the highest possible score.
74
79
92
Boys:
89
76
74
88
73
74
81
89
88
88
93
86
78
75
89
87
85
86
92
81
87
90
90
94
94
Girls:
72
78
75
78
75
92
85
71
86
75
96
71
74
76
87
74
80
81
90
76
76
76
71
75
74
71
71
72
Let us compare the two sets of scores of the boys and those of the girls by considering the
statistical values, namely, the range, mean, and standard deviation.
Вoys
Girls
n, number of observation
28
28
range
94-73-21
96-71 25
x, mean of the distribution
84.71
77.79
S, standard deviation
6.84
6.90
Interpretation:
The range of the scores of the boys is 21; the range of the scores of the girls is 25. There
is a wider gap between the highest and lowest observations in the set of scores of the girls, A girl
is the "top" scorer for this test, a 96. However, the lowest score of 71 for the test is found of the
set of scores of the girls.28 girls who took the same test
The mean, also called the average, of the 28 boys who took the math test is 84.71. This
mean score is higher than 77.79, the mean of the 28 girls who took the same test. The mean
difference in the scores in the test of the two groups is 6.92.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON