Question

ematics math 003 fall 2025
unit 4 - mean, median and mode, and
question 5, 7.3.1
part 1 of 3
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
(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.

Explanation:

Step1: Recall mean formula

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

Step2: Calculate sum of numbers

$\sum_{i=1}^{5}x_i=27 + 32+16+20+25=120$.

Step3: Calculate the mean

$\bar{x}=\frac{120}{5}=24.0$.

Step4: Find the median

First, order the numbers: $16,20,25,27,32$. Since $n = 5$ (odd - numbered set), the median is the middle - numbered value, which is $25$.

Step5: Find the mode

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

Answer:

Mean: 24.0
Median: 25
Mode: None