the following frequency table shows the number of laps each person walked for a charity event.\nnumber of…

Explanation:

Step1: Calculate total number of people

$1 + 1+1 + 1+2=6$

Step2: Determine position of median

Since $n = 6$ (even), the median is the average of the $\frac{n}{2}$ - th and $(\frac{n}{2}+ 1)$ - th ordered values. $\frac{n}{2}=\frac{6}{2}=3$ and $\frac{n}{2}+1 = 4$.

Step3: Order the data and find values at positions

The ordered data set based on the frequency table is: $12,13,14,15,16,16$. The 3 - rd value is $14$ and the 4 - th value is $15$.

Step4: Calculate the median

Median=$\frac{14 + 15}{2}=\frac{29}{2}=14.5$

Answer:

$14.5$