Question

Find the mean, median, and mode of the following problem.The heights (in centimeters) of 7 students in a class are 152, 170, 165, 168, 159, 160, and 152. Find the mean, median, and mode of the heights.

Answer 1

Given

The heights of 7 students in a class are 152, 170, 165, 168, 159, 160, and 152.

Find

Mean , Median and Mode

Explanation

Mean = Sum of observations / Number of observation

so ,

$\begin{gathered} Mean=\frac{152+170+165+168+159+160+152}{7} \\ \\ Mean=\frac{1126}{7} \\ \\ Mean=160.857\approx160.86 \end{gathered}$

to find median , we need to arrange data in an increasing order

so ,

152 , 152 , 159 , 160 , 165 , 168 and 170

there are 7 students . so

median =

$\begin{gathered} \frac{number\text{ of terms + 1}}{2} \\ \frac{7th+1}{2} \\ \\ 4th\text{ term} \end{gathered}$

so, median = 160

now mode ,

mode is that number which occurs most times.

so , 152 occurs two times.

hence , mode = 152

Final Answer

Therefore , Mean = 160.86 , Median = 160 and Mode = 152