Question

Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Car A (miles) Car B (miles) Mean 145 200 Median 142 196 IQR 8 4 MAD 6 2 Part A Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. Car A can travel further than Car B after the battery is fully charged. Part B Based on the data, which car performs most consistently? Explain. A. Car A because the measures of center are smaller for Car A than for Car B. B. Car B because the measures of center are smaller for Car B than for Car A. C. Car A because the measures of variability are smaller for Car A than for Car B. D. Car B because the measures of variability are smaller for Car B than for Car A.

Answer 1

Car B can travel further than Car A after the battery is fully charged.

D: Car B because the measure of variability is smaller for Car B than for Car A.

Explanation:

Answer 2

Car B can travel further than Car A after the battery is fully charged.

D. Car B because the measures of variability are smaller for Car B than for Car A.

Explanation:

Car B can travel further than Car A after the battery is fully charged because Car A has lesser mean and median than Car B.

Median divides the data into two halves. A smaller median means that there is lesser mileage of Car A than Car B.

There are two measures.

Measure of center tells us how much near or far the data is spread from the center.

The mean , median and mode are the measures of center.

Car A has less mean , median telling us that it traveled less.

Measure of Variability tells us how data changes with a single value.

Smaller MAD means the data is denser at the mean. Car B has lesser MAD.

Smaller IQR tells us that data is closer to the middle of the data.

Car B has smaller IQR .

So car B traveled consistently as it has smaller IQR and MAD

D. Car B because the measures of variability are smaller for Car B than for Car A.