Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

mels motorcars keeps track of the fuel economy of each used car sold. t…

Question

mels motorcars keeps track of the fuel economy of each used car sold. this histogram shows the distribution of miles per gallon from cars sold last month.
mels motorcars
complete the sentences.
the distribution of miles per gallon is best described as symmetric. so, the
are both appropriate measures of
central mean and the median
mean and the standard deviation

Explanation:

Step1: Analyze the histogram shape

First, observe the histogram. The bars on the left (0 - 9.9, 10 - 19.9) and right (40 - 49.9, 50 - 59.9) seem to mirror each other around the middle bar (30 - 39.9). So the distribution is symmetric.

Step2: Determine appropriate measures for symmetric distribution

For a symmetric distribution, the mean and the median are close in value, and both are appropriate measures of central tendency (since standard deviation is a measure of spread, not central tendency). So the blanks should be filled with "symmetric" and "mean and the median" (as central measures).

Answer:

The distribution of miles per gallon is best described as symmetric. So, the mean and the median are both appropriate measures of central tendency.