Question

jimmy was curious about how many pets his classmates owned. here is the data he collected. 2, 3, 7, 1, 6, 9, 7, 6, 5. please select the statement that is true. a the median is greater than the mean. b the mean is greater than the median. c the mean, median, and mode are all 6. d the mean and median are equal.

Explanation:

Step1: Arrange data in ascending order

1,1,2,3,5,6,7,7,9

Step2: Calculate the mean

Mean = $\frac{1 + 1+2 + 3+5 + 6+7 + 7+9}{9}=\frac{41}{9}\approx4.56$

Step3: Calculate the median

There are 9 data - points. The median is the 5th value when data is arranged in ascending order. So, median = 5.

Step4: Analyze the mode

The mode is the number that appears most frequently. Here, 1 and 7 both appear 2 times, so the modes are 1 and 7.

Answer:

A. The median is greater than the mean.