Question

the table below shows the scores on a math test. david 75 aaron 75 ashley 60 gina 75 andrew 75 kei 95 monica 100 anna 60 lucas 75 jennifer 65 find the range, mean, median and mode for the scores. round to the nearest tenth when necessary. a. 40; 75.5; 75; 75 c. 40; 74.5; 75; 100 b. 35; 75.5; 75; 75 d. 40; 74.5; 75; 75 please select the best answer from the choices provided

Explanation:

Step1: Find the range

Range = Maximum - Minimum. The maximum score is 100 and the minimum is 60. So, Range = 100 - 60 = 40.

Step2: Find the mean

Sum of scores = 75+75+60+75+75+95+100+60+75+65 = 745. There are 10 scores. Mean = $\frac{745}{10}$ = 74.5.

Step3: Find the median

Arrange the scores in ascending order: 60, 60, 65, 75, 75, 75, 75, 75, 95, 100. There are 10 (an even - numbered) scores. Median = $\frac{75 + 75}{2}$ = 75.

Step4: Find the mode

The mode is the number that appears most frequently. 75 appears 6 times, more frequently than any other number, so the mode is 75.

Answer:

D. 40; 74.5; 75; 75