What are the mean, median, mode, and range of the data set given the altitude of lakes in feet:

Question

–11, –28, –17, –25, –28, –39, –6, and –46?

A. mean = –25; median = –26.5; mode = –28; range = 40
B. mean = –25; median = –40; mode = –26.5; range = 28
C. mean = –26.5; median = –25; mode = –28; range = 28
D. mean = –26.5; median = –28; mode = –25; range = 40

Answer 1

First, let’s order the data set from smallest to largest:

–46, –39, –28, –28, –25, –17, –11, –6

Mean:
To find the mean, we add all the values and divide the sum by the number of values.

Mean = (-46 -39 -28 -28 -25 -17 -11 -6) ÷ 8
Mean = -200 ÷ 8
Mean = -25

Median:
To find the median, we need to find the middle value.

Median = (-28 -25) ÷ 2
Median = -26.5

Mode:
The mode is the most frequent value in the data set. Here, -28 occurs twice, which is more than any other value.

Mode = -28

Range:
To find the range, we subtract the smallest value from the largest value.

Range = Largest Value - Smallest Value
Range = (-6) - (-46)
Range = 40

Therefore, the answer is A. mean = –25; median = –26.5; mode = –28; range = 40.