for each of the following, determine whether the question is a statistical question. give a reason for your…
for each of the following, determine whether the question is a statistical question. give a reason for your answer.\na how many letters are in my last name?\nb. how many letters are in the last names of the students in my 6th grade class?\nc. what are the colors of the shoes worn by the students in my school?\nd. what is the maximum number of feet that roller coasters drop during a ride?\ne. what are the heart rates of the students in a 6th grade class?\nf. how many hours of sleep per night do 6th graders usually get when they have school the next day?\ng. how many miles per gallon do compact cars get?\n\nidentify each of the following data sets as categorical (c) or numerical (n). explain your answer.\na. arm spans of 12 6th graders\nb. number of languages spoken by each of 20 adults\nc. favorite sport of each person in a group of 20 adults\nd. number of pets for each of 40 3rd graders\ne. number of hours a week spent reading a book for a group of middle school students\n\nrewrite each of the following questions as a statistical question.\na. how many pets does your teacher have?\nb. how many points did the high school soccer team score in its last game?\nc. how many pages are in our math book?\nd. can i do a handstand?
Answer
Part 1: Determine if the question is a statistical question
- a. How many letters are in my last name?
Brief Explanations:
There is only one - value answer for a single - person's last name. No variability in data.
Answer:
No, because it has a single, definite answer.
- b. How many letters are in the last names of the students in my 6th - grade class?
Brief Explanations:
There are multiple last names in the class, so there will be a distribution of values.
Answer:
Yes, because different students have different last - names with varying numbers of letters.
- c. What are the colors of the shoes worn by the students in my school?
Brief Explanations:
There are many students in the school, and their shoe colors will vary.
Answer:
Yes, because there is variability in the shoe colors of different students.
- d. What is the maximum number of feet that roller coasters drop during a ride?
Brief Explanations:
There are many roller coasters, and their drop - heights vary, and we are interested in the maximum value of this variable.
Answer:
Yes, because different roller coasters have different drop - heights.
- e. What are the heart rates of the students in a 6th - grade class?
Brief Explanations:
Each student has a different heart rate, so there is a set of data values.
Answer:
Yes, because heart rates of different students in the class will vary.
- f. How many hours of sleep per night do 6th - graders usually get when they have school the next day?
Brief Explanations:
Different 6th - graders will have different sleep - hour values.
Answer:
Yes, because 6th - graders have different sleep - hour habits.
- g. How many miles per gallon do compact cars get?
Brief Explanations:
There are many compact cars, and their fuel - efficiency (miles per gallon) varies.
Answer:
Yes, because different compact cars have different miles - per - gallon values.
Part 2: Identify data sets as categorical (C) or numerical (N)
- a. Arm spans of 12 6th - graders
Brief Explanations:
Arm spans are measured in units like inches or centimeters, which are numerical values.
Answer:
N, because arm spans are numerical measurements.
- b. Number of languages spoken by each of 20 adults
Brief Explanations:
The number of languages is a count, which is a numerical value.
Answer:
N, because it is a numerical count.
- c. Favorite sport of each person in a group of 20 adults
Brief Explanations:
Sports names are non - numerical categories.
Answer:
C, because favorite sports are categorical data.
- d. Number of pets for each of 40 3rd - graders
Brief Explanations:
The number of pets is a count, which is a numerical value.
Answer:
N, because it is a numerical count.
- e. Number of hours a week spent reading a book for a group of middle school students
Brief Explanations:
Hours are numerical values representing time.
Answer:
N, because it is a numerical measurement of time.
Part 3: Rewrite as statistical questions
- a. How many pets does your teacher have?
Brief Explanations:
To make it statistical, we need to consider a group. We can ask about the number of pets of all teachers in a school.
Answer:
How many pets do the teachers in our school have?
- b. How many points did the high school soccer team score in its last game?
Brief Explanations:
To make it statistical, we can consider multiple games. We can ask about the scores in all games of a season.
Answer:
How many points did the high school soccer team score in all of its games this season?
- c. How many pages are in our math book?
Brief Explanations:
To make it statistical, we can consider multiple math books (e.g., different editions). We can ask about the number of pages in all math books used in the school.
Answer:
How many pages are in all the math books used in our school?
- d. Can I do a handstand?
Brief Explanations:
To make it statistical, we can consider a group of people. We can ask about the ability of a group to do handstands.
Answer:
What percentage of students in my class can do a handstand?