Question

ematics math 003 fall 2025
question 5, 7.3.1
part 3 of 3
points: 0 of 1
find the mean, median, and mode for the set of numbers. if necessary, round the mean to one decimal place.
27, 32, 16, 20, 25
find the mean. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the mean is 24.0
(type a whole number or decimal rounded to one decimal place as needed. use a comma to separate answers as needed.)
b. there is no mean.
find the median. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the median is 25
(type a whole number or decimal rounded to one decimal place as needed. use a comma to separate answers as needed.)
b. there is no median.
find the mode. select the correct choice below and, if necessary, fill in the answer box to complete your choice.
a. the mode is
(type a whole number or decimal rounded to one decimal place as needed. use a comma to separate answers as needed.)
b. there is no mode.

Explanation:

Step1: Calculate the mean

The mean $\bar{x}$ of a set of numbers $x_1,x_2,\cdots,x_n$ is given by $\bar{x}=\frac{\sum_{i = 1}^{n}x_i}{n}$. Here, $n = 5$, $x_1=27,x_2 = 32,x_3=16,x_4=20,x_5=25$. So, $\sum_{i=1}^{5}x_i=27 + 32+16+20+25=120$. Then $\bar{x}=\frac{120}{5}=24.0$.

Step2: Calculate the median

First, order the numbers: $16,20,25,27,32$. Since $n = 5$ (an odd - numbered set), the median is the middle - numbered value. The middle value is the 3rd number when ordered, so the median is 25.

Step3: Calculate the mode

The mode is the number that appears most frequently in the data - set. In the set $\{27,32,16,20,25\}$, each number appears only once. So, there is no mode.

Answer:

A. The mean is 24.0
A. The median is 25
B. There is no mode