Question

1. decide whether the following questions are statistical questions. give a reason for each answer.

a. how many letters are in my last name?
b. what are the colors of the houses in my neighborhood?
c. what is the maximum number of kids that rode a coaster during a day?
d. what are the heights of the students in a 6th - grade class?
e. how many hours of sleep per night do 6th - graders usually get when they have school the next day?
f. how many miles of vacation do i have left?

1. 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

1. 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:

1.

Step1: Recall statistical question criteria

A statistical question has variability in the data related to it.

a.

This is a statistical question as different 6 - th grade students may have different arm - spans. There is variability in the data.

b.

This is a statistical question since different adults speak a different number of languages. There is variability.

c.

This is a statistical question because different people in the group of 20 adults may have different favorite sports. There is variability.

d.

This is a statistical question as different 3 - rd graders may have a different number of pets. There is variability.

e.

This is a statistical question since different middle - school students may spend a different number of hours reading a book. There is variability.

2.

Step1: Rewrite to show variability

a.

How many pets do the teachers in our school have? (Now it considers multiple teachers, showing variability)

b.

How many points did the high - school soccer teams in our district score in their last games? (Considers multiple teams for variability)

c.

How many pages are in the math books used by students in our grade? (Considers multiple math books for variability)

d.

This is not a statistical question as it is a yes/no question about an individual's ability and has no variability in data related to it.

Answer:

1. All of a, b, c, d, e are statistical questions due to data variability.

2.
a. How many pets do the teachers in our school have?
b. How many points did the high - school soccer teams in our district score in their last games?
c. How many pages are in the math books used by students in our grade?
d. Not a statistical question.