Question

1. what is the maximum number of feet that roller - coasters drop during a ride? what are the heart rates of the students in a 6th grade class? how many hours of sleep per night do 6th graders usually get when they have school the next day? how many miles per gallon do compact cars get? 2. identify each of the following data sets as categorical (c) or numerical (n). explain your answer. a. arm spans of 12 6th - graders b. number of languages spoken by each of 20 adults c. favorite sport of each person in a group of 20 adults d. number of pets for each of 40 3rd - graders e. number of hours a week spent reading a book for a group of middle school students 3. rewrite each of the following questions as a statistical question. a. how many pets does your teacher have? b. how many points did the high school soccer team score in its last game? c. how many pages are in our math book? d. can i do a handstand?

Explanation:

2a.

Arm spans are measured values. They are numerical data as they are expressed in units like centimeters or inches. So it is numerical (N).

2b.

The number of languages is a count. Counts are numerical values. So it is numerical (N).

2c.

Favorite sport is a category like "football", "basket - ball" etc. It is categorical (C) as it represents different types or groups.

2d.

The number of pets is a count. Counts are numerical values. So it is numerical (N).

2e.

The number of hours spent reading is a measured value. It is numerical (N) as it is expressed in units of time (hours).

3a.

A statistical question should have variability in the data. Instead of asking about one teacher, we can ask "How many pets do the teachers in our school have?". This allows for different answers and data collection from multiple teachers.

3b.

We can change it to "How many points did high - school soccer teams in our district score in their last games?". This makes it about multiple teams instead of just one.

3c.

We can rewrite it as "How many pages are in math books used in different middle - school grades?". This allows for different values as different grades may use different math books.

3d.

It can be rewritten as "What percentage of students in my class can do a handstand?". This makes it about a group and allows for data collection and analysis.

Answer:

2a. N, because arm spans are measured numerical values.
2b. N, because the number of languages is a count.
2c. C, because favorite sport is a category.
2d. N, because the number of pets is a count.
2e. N, because the number of hours is a measured value.
3a. How many pets do the teachers in our school have?
3b. How many points did high - school soccer teams in our district score in their last games?
3c. How many pages are in math books used in different middle - school grades?
3d. What percentage of students in my class can do a handstand?