Question

Use the display of data to find the​ mean, median,​ mode, and midrange.
A bar graph titled Score with a horizontal axis from 10 to 14 in increments of 1 and a vertical axis labeled Frequency from 0 to 10 in increments of 2 contains five vertical bars with labels and heights as follows, where the horizontal axis label is listed first and the height is listed second: 10, 5; 11, 6; 12, 7; 13, 6; 15, 5.
Score
10
11
12
13
14
0
2
4
6
8
10
Frequency

Answer 1

Total frequency = 5+6+7+6+5 = 29.

Mean = (10·5 + 11·6 + 12·7 + 13·6 + 15·5) / 29 = 353/29 ≈ 12.17.

Median: the (29+1)/2 = 15th observation. Cumulative counts: 10 (5), up to 11 (11), up to 12 (18). The 15th value is in the 12s, so median = 12.

Mode = 12 (highest frequency 7).

Midrange = (min + max)/2 = (10 + 15)/2 = 12.5.