Question

harper and mark sold t-shirts for a fundraiser. they recorded in lists for the number of t-shirts they sold each day.

• harper: 3, 5, 4, 6, 8
• mark: 2, 4, 10, 6, 8

which statement is true?
a. the means for harper and mark were the same.
b. harper had the higher median.
c. harper had the higher range.
d. mark had the higher mode.

Explanation:

Step1: Calculate mean for Harper and Mark

Mean formula: $\frac{\sum x}{n}$
For Harper: $\frac{3 + 5+4 + 6+8}{5}=\frac{26}{5} = 5.2$
For Mark: $\frac{2+4 + 6+8+8}{5}=\frac{28}{5}=5.6$
So means are not same.

Step2: Calculate median for Harper and Mark

Sort data:
Harper: $3,4,5,6,8$ (median is $5$)
Mark: $2,4,6,8,8$ (median is $6$)
So Harper does not have higher median.

Step3: Calculate range for Harper and Mark

Range formula: $max - min$
Harper: $8 - 3=5$
Mark: $8 - 2 = 6$
So Harper does not have higher range.

Step4: Calculate mode for Harper and Mark

Mode is the most frequent number.
Harper: no mode (each number appears once)
Mark: $8$ (appears twice)
So Mark has higher mode.

Answer:

D. Mark had the higher mode.