Lesson 10.1 - 10.3

A random sample of 50 high school students are surveyed.  Each student is asked if they have a driver’s license, how many miles they live from school, how many minutes it takes them to get to school in the morning, and what grade they are in. Classify each variable as categorical or quantitative.

Driver’s license:

• Categorical

• Quantitative

A random sample of 50 high school students are surveyed.  Each student is asked if they have a driver’s license, how many miles they live from school, how many minutes it takes them to get to school in the morning, and what grade they are in. Classify each variable as categorical or quantitative.

Miles from school:

• Categorical

• Quantitative

A random sample of 50 high school students are surveyed.  Each student is asked if they have a driver’s license, how many miles they live from school, how many minutes it takes them to get to school in the morning, and what grade they are in. Classify each variable as categorical or quantitative.

Minutes to get to school:

• Categorical

• Quantitative

A random sample of 50 high school students are surveyed.  Each student is asked if they have a driver’s license, how many miles they live from school, how many minutes it takes them to get to school in the morning, and what grade they are in. Classify each variable as categorical or quantitative.

Grade level:

• Categorical

• Quantitative

Fifty students were asked how they travel to their friend’s house. Their results are displayed in the pie chart.

How many students answered that they ride the bus?

A basketball team plays 10 games in a season.  After their 9th game, the average number of points scored was 58 points per game. In the 10th game they score 80 points. 

What is the average number of points scored per game for all 10 games?

There are 7 tennis players who showed up for practice. The coach forgot to bring balls so he asks the tennis players how many balls each of them have in their tennis bag. The dotplot shows the results.

What is the value of the mean? Interpret this value.

There are 7 tennis players who showed up for practice. The coach forgot to bring balls so he asks the tennis players how many balls each of them have in their tennis bag. The dotplot shows the results.

An 8th tennis player shows up and has 50 tennis balls in their tennis bag.

Without doing any calculations, which value will change more, the mean or the median? Explain.

The histogram displays the distribution of the number of medals won by the top 29 countries that participated in the 2020 Olympic games.

What percent of the top 29 countries won more than 22 medals? Round to the nearest tenth.

The histogram displays the distribution of the number of medals won by the top 29 countries that participated in the 2020 Olympic games.

Is it possible to calculate the mean number of representatives per state based upon the information given in the graph? If so, calculate the mean. If not, explain why not.