IM Alg1.1.15 Lesson: Comparing Data Sets

Each histogram shows the bowling scores for the last 25 games played by each person.

Choose 2 of these people to join your bowling team. Explain your reasoning.

Person A mean: 118.96 median: 111 standard deviation: 32.96 interquartile range: 44
Person B mean: 131.08 median: 129 standard deviation: 8.64 interquartile range: 8
Person C mean: 133.92 median: 145 standard deviation: 45.04 interquartile range: 74
Person D mean: 116.56 median: 103 standard deviation: 56.22 interquartile range: 31.5

Which age group tends to take longer to run the marathon? Explain your reasoning.

Which age group has more variable finish times? Explain your reasoning.

How do you think finish times for a 20–29 age range will compare to these two distributions?

Determine the best measure of center and measure of variability to use based on the shape of the distribution.
Determine which set has the greatest measure of center.
Determine which set has the greatest measure of variability.
Be prepared to explain your reasoning.

6a A political podcast has mostly reviews that either love the podcast or hate it.

6b A cooking podcast has reviews that neither hate nor love the podcast.

7a Stress testing concrete from site A has all 12 samples break at 450 pounds per square inch (psi).

7b Stress testing concrete from site B has samples break every 10 psi starting at 450 psi until the last core is broken at 560 psi.

7c Stress testing concrete from site C has 6 samples break at 430 psi and the other 6 break at 460 psi.