Baseball Stats Lab: Graphs, Averages, and Percents

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Practice (15–20 minutes): World Series Math

Use the data table to answer each question.

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Baseball Stats Lab: Graphs, Averages, and Percents

Baseball Stats Lab: Graphs, Averages, and Percents

Find the mean (average) number of runs per team across all 6 team rows. (Use $\text{mean}=\frac{\text{sum}}{6}$.)

Find the median number of runs across the 6 team rows.

Which graph type is MOST appropriate to compare the number of runs (R) scored by each team (all 6 team rows)?

Find the mode of the runs (R) across the 6 team rows.

Compute the unit rate hits per run for the 2019 Houston Astros: $\frac{H}{R}$. (Use the dataset.)

Which team had the highest hits-per-run unit rate $\frac{H}{R}$?

In 2016 Game 7, what percent of the total runs in that game were scored by the Chicago Cubs? (Cubs $=8$, Indians $=7$.) Write your answer as a percent.

Across all teams, how many total hits (H) are in the dataset?

Stretch: The Astros had $9$ hits and $2$ runs. The Nationals had $9$ hits and $6$ runs. Compare their efficiency using runs per hit $\frac{R}{H}$. How much larger is the Nationals’ $\frac{R}{H}$ than the Astros’ $\frac{R}{H}$?

Which data display would be BEST for comparing the number of runs (R) scored by each team in the dataset?

List the runs (R) for all 8 teams (all rows). Then find the mean (average) number of runs per team.

Find the median number of runs (R) for the 8 teams in the table.

What is the mode of the runs (R) values? If there is no mode, write: no mode.

In Game 7 (2016), the Cubs scored $8$ runs and the Indians scored $7$ runs. What percent of the TOTAL runs in that game were scored by the Cubs? Round to the nearest whole percent.

Compute the unit rate hits per run for the Nationals in Game 7 (2019). Use $\frac{\text{hits}}{\text{runs}}$ and give a decimal rounded to the nearest hundredth.

Compute the unit rate hits per run for the Astros in Game 7 (2019). Round to the nearest hundredth.

In Game 6 (2020), the Rays had $6$ hits and $1$ run. In the same game, the Dodgers had $6$ hits and $3$ runs. Which team had the HIGHER hits-per-run unit rate?

Across the 4 games listed, find the mean total runs per game. (Add both teams’ runs for each game, then average the 4 totals.)

Stretch: Compare the total hits in Game 7 (2016) to the total hits in Game 7 (2019). What is the percent change from 2019 to 2016? Round to the nearest whole percent.

Find the mean (average) number of runs per team across all 6 team rows. (Use $\text{mean}=\frac{\text{sum}}{6}$.)

Find the median number of runs across the 6 team rows.

Which graph type is MOST appropriate to compare the number of runs (R) scored by each team (all 6 team rows)?

Find the mode of the runs (R) across the 6 team rows.

Compute the unit rate hits per run for the 2019 Houston Astros: $\frac{H}{R}$. (Use the dataset.)

Which team had the highest hits-per-run unit rate $\frac{H}{R}$?

In 2016 Game 7, what percent of the total runs in that game were scored by the Chicago Cubs? (Cubs $=8$, Indians $=7$.) Write your answer as a percent.

Across all teams, how many total hits (H) are in the dataset?

Stretch: The Astros had $9$ hits and $2$ runs. The Nationals had $9$ hits and $6$ runs. Compare their efficiency using runs per hit $\frac{R}{H}$. How much larger is the Nationals’ $\frac{R}{H}$ than the Astros’ $\frac{R}{H}$?

Which data display would be BEST for comparing the number of runs (R) scored by each team in the dataset?

List the runs (R) for all 8 teams (all rows). Then find the mean (average) number of runs per team.

Find the median number of runs (R) for the 8 teams in the table.

What is the mode of the runs (R) values? If there is no mode, write: no mode.

In Game 7 (2016), the Cubs scored $8$ runs and the Indians scored $7$ runs. What percent of the TOTAL runs in that game were scored by the Cubs? Round to the nearest whole percent.

Compute the unit rate hits per run for the Nationals in Game 7 (2019). Use $\frac{\text{hits}}{\text{runs}}$ and give a decimal rounded to the nearest hundredth.

Compute the unit rate hits per run for the Astros in Game 7 (2019). Round to the nearest hundredth.

In Game 6 (2020), the Rays had $6$ hits and $1$ run. In the same game, the Dodgers had $6$ hits and $3$ runs. Which team had the HIGHER hits-per-run unit rate?

Across the 4 games listed, find the mean total runs per game. (Add both teams’ runs for each game, then average the 4 totals.)

Stretch: Compare the total hits in Game 7 (2016) to the total hits in Game 7 (2019). What is the percent change from 2019 to 2016? Round to the nearest whole percent.