Question

the table below shows the scores on a science test.

john	75	brett	80
elizabeth	90	cindy	100
jake	75	kenji	85
rick	80	joy	80
raul	90	suni	85

find the range, mean, median and mode for the scores. round to the nearest tenth when necessary.
a. 25; 84; 82.5; 75
c. 25; 84; 82.5; 80
b. 100; 84; 82.5; 80
d. 25; 80; 82.5; 80

please select the best answer from the choices provided

Explanation:

Step1: Find the range

Range = Max - Min. Max score is 100, Min score is 75. So, Range = 100 - 75 = 25.

Step2: Find the mean

Sum of scores = 75+75+80+80+80+85+85+90+90+100 = 840. Number of scores (n) = 10. Mean = $\frac{840}{10}$ = 84.

Step3: Find the median

Arrange scores in ascending order: 75, 75, 80, 80, 80, 85, 85, 90, 90, 100. Since n = 10 (even), Median = $\frac{80 + 85}{2}$ = 82.5.

Step4: Find the mode

The mode is the most - frequently occurring score. 80 occurs 3 times, more frequently than other scores, so mode = 80.

Answer:

C. 25; 84; 82.5; 80