Question

In class A, the mean score on a math exam was 85. In class B, the mean score on the same test was 75. There were 30 students in each class. The scores in class A ranged from 83 through 87, whereas the score. in class B ranged from 45 through 100. Which of the following is an appropriate conclusion that can be drawn from the information given above? res The standard deviation of scores was higher in class B. The median score was higher in class B The students in class B did more cooperative learning than did the students in class A. The most able students in class B should be moved to class A The different results on the same test suggest that the test is flawed.

Answer 1

Standard deviation means deviation of scores from mean value. Here we can see that,

In Class A, Maximum deviation = Max [(85-83), (87-85)] = 2

In Class B, Maximum deviation = Max [(75-43), (100-75)] = 32

So, The Standard Deviation of scores was higher in class B. Hence, Option I is appropriate conclusion.

Median is the middle value when the scores are arranged in either ascending or descending order. So, we can not clearly say that median score was higher in class B.

For example,

Median Mean St Dev Marks of Class A 83 85 85 8585 85 8585 85 85 858585 858585 85 858585 858585 85 85 8585 85 85 87 85 85 0.525226 75 75 75 75 75 7575 75 75 7575 75 75 75 7575 7575 75 75 80 100 75 75 75 75 7575 75 Marks of class B 45 75 75 7.310833