Question

the weight (in pounds) of each wrestler on the high school wrestling team at the beginning of the season is listed below. 178 142 112 150 206 130
a. what is the median weight of the wrestler?
median: ______________ pounds
b. what is the mean weight of the wrestler?
mean: ______________ pounds

Explanation:

Step1: Arrange data in ascending order

$112, 130, 142, 150, 178, 206$

Step2: Calculate median for even - numbered data

Since there are 6 data points, the median is the average of the 3rd and 4th ordered values. Median=$\frac{142 + 150}{2}=\frac{292}{2}=146$

Step3: Calculate the sum of data

$112+130 + 142+150+178+206=918$

Step4: Calculate the mean

Mean=$\frac{918}{6}=153$

Answer:

A. 146 pounds
B. 153 pounds