Question

Type the correct answer in the box. Spell all words correctly. 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 Jeremy's data set shows skew.

a) Positive
b) Negative
c) Zero
d) Cannot be determined without specific calculations

Answer 1

Jeremy's data set of jump heights from snowboarding shows a positive skew because the distribution has a longer tail towards the higher values.

Step-by-step explanation:

Jeremy loves snowboarding and has recorded the heights achieved in each attempt to determine the skewness of his data set. To determine whether the data set has a negative, positive, or zero skew, we need to look for the shape of the distribution of his jump heights. If the tail of the data is stretched towards the higher values, it's a positive skew; if it's stretched towards lower values, it's a negative skew; and if it's symmetrical, it's zero skew.

After arranging the data in ascending order (11, 11, 12, 13, 14, 14, 15, 15, 16, 16, 16, 17, 18, 18, 19, 20, 21, 22, 23, 24), we can see that there are more values at the lower end of the range, with a longer tail towards the higher values, indicating a positive skew. Therefore, the answer is (a) Positive.