Question

For which data sets is the median a better measure of center than the mean? Choose all answers that are correct. A. Dorian drove 56, 62, 68, 71, 104, and 507 mi on 6 consecutive days. B. Mandy entered pumpkins weighing 2, 8.5, 9.2, 9.8, and 10.1 lb in the contest at the county fair. C. The winning times in each of the 5 heats of the 400-meter dash were 1:01, 1:03, 1:03.4, and 1:04.9 min. D. The bakery shop sold 46, 51, 62, and 72 cupcakes on each of the last 2 Saturdays and Sundays.

Answer 1

Median is a better measure of center than the mean(average)

a) 56,62,68,71,104,507 ⇒ Median is a better measure. Mean is not a better measure because of the outliers.

b) 2,8.5, 9.2, 9.8, 10.1 lb ⇒ Median is a better measure. 

c) Mean is a better measure. No outliers. Data set values are close with each other.

d) Mean is a better measure.