Suppose that the mean score of a class of 29 students was 78. The 17 male students in the class had a mean score of 70. What was the mean score for the 12 female students?Mean Score for Female Students =
Question
Suppose that the mean score of a class of 29 students was 78. The 17 male students in the class had a mean score of 70. What was the mean score for the 12 female students?Mean Score for Female Students =
Solution
To find the mean score for the female students, we first need to find the total score for the entire class.
Step 1: Multiply the mean score of the class by the total number of students to get the total score for the class.
78 (mean score) * 29 (total students) = 2262 (total score)
Step 2: Find the total score for the male students.
70 (mean score of male students) * 17 (total male students) = 1190 (total score of male students)
Step 3: Subtract the total score of the male students from the total score of the class to get the total score of the female students.
2262 (total score) - 1190 (score of male students) = 1072 (total score of female students)
Step 4: Divide the total score of the female students by the number of female students to get the mean score for the female students.
1072 (total score of female students) / 12 (total female students) = 89.33
So, the mean score for the female students is approximately 89.33.
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