Question

Jeremy loves snowboarding. His favorite stunt is catching big air and jumping off the ramp while holding on to the snowboard. Jeremy did this 20 times and recorded the heights (in meters) he achieved in each attempt. He wants to know whether his data set has negative, positive, or zero skew.

{18, 23, 15, 16, 15, 17, 22, 16, 19, 11, 24, 14, 12, 16, 20, 18, 14, 13, 21, 11}

Answer 1

{18, 23, 15, 16, 15, 17, 22, 16, 19, 11, 24, 14, 12, 16, 20, 18, 14, 13, 21, 11}

Arrange in chronological order:
11, 11, 12, 13, 14, 14, 15, 15, 16, 16, 16,  17, 18, 18, 19, 20, 21, 22, 23, 24,  

There are 20 numbers. To determine the skewness of the data, we need to know the mode, median, mean.

Mode is the number that is frequently appearing in the data set. Mode is 16.
Median is the number that is found in the middle of the data set. Since the number of data set is even, we add the middle numbers and divide its sum by 2 to get the value of the median. The 10th and 11th number are both 16. So, the median is 16.
Mean is the average of all numbers in the data set. Add up all the numbers and divide the sum by the count. 335 / 20 = 16.75

His data has a POSITIVE SKEWNESS. Its long tail is going to the right.