Question

Find the mean, median, and mode of the data set.

15, 16, 21, 23, 25, 25, 25, 39

A. mean = 23.6, median = 25, mode = 24
B. mean = 24, median = 23.6, mode = 25
C. mean = 24.6, median = 24, mode = 25
D. mean = 23.6, median = 24, mode = 25

Answer 1

Answer: D. mean = 23.6, median = 24, mode = 25

Explanation:

[MEAN] First, we will find the mean. We can do this by adding all of the numbers together and dividing by the total number of numbers. This gives us a mean of 23.625, rounded as 23.6

`\displaystyle \text{Mean} = (15+16+ 21+ 23+ 25+ 25+ 25+ 39)/(8)=(189)/(8) = 23.625`

[MEDIAN] Next, we will find the median. This is the number in the middle of the data set when the data is in order from least to greatest. We get a median of 24.

15, 16, 21, 23, 25, 25, 25, 39

-, 16, 21, 23, 25, 25, 25, -

-, -, -, 23, 25, -, -, -

We have two values in the middle, so we will take the average.

(23 + 25) / 2 = 24

[MODE] Lastly, we will find the mode. This is the number that appears the most frequently in the data set. We will count how many times each number shows up. We get a mode of 25.

15: 1

16: 1

21: 1

23: 1

25: 3

39: 1

D. mean = 23.6, median = 24, mode = 25