Question

name
unit 7 study guide - test on november 11th
the storage capacity, x, in gigabytes (gb), and the price, y, in dollars, of 10 different cell phones of the same brand and model are
shown below.
the storage capacities for the phones are 32,64,96,128,160,192,224,256,288 and 320.
the corresponding prices are 300, 350, 400, 450, 500, 550, 600, 650, 700, 1200
the electronics store manager, maya, wants to compare the data for each phone and then create a scatter plot to see if there is a
relationship between storage capacity and price.
question 1: the data for the cell phone prices is skewed. which measures can be used to represent the center and the variability of
the data?
a. mean and standard deviation
c. median and standard deviation
b. mean and interquartile range
d. median and interquartile range

Explanation:

When data is skewed, the median is a better measure of central tendency than the mean because the mean is affected by extreme values. The interquartile range (IQR) is a better measure of variability than the standard deviation for skewed data as the standard deviation is also influenced by extreme values. The IQR represents the spread of the middle 50% of the data.

Answer:

D. median and interquartile range