Question

find the mean, median, and mode for the set of numbers. if necessary, round to one decimal place. use a comma to separate answers as needed. 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 . (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.

Explanation:

Step1: Calculate the mean

The formula for 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, $n = 5$, $x_1=27,x_2 = 32,x_3=16,x_4=20,x_5=25$. So, $\sum_{i=1}^{5}x_i=27 + 32+16+20+25=120$, and $\bar{x}=\frac{120}{5}=24.0$.

Step2: Calculate the median

First, arrange the numbers in ascending - order: $16,20,25,27,32$. Since $n = 5$ (an odd number), the median is the middle - number. The middle number is the third number when the numbers are arranged in ascending order, 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:

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