1. for each of the following, determine whether the question is a statistical question. give a reason for…
1. 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?\n2. identify 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\n3. rewrite 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
1. Determine whether the question is a statistical question
a. How many letters are in my last name?
Brief Explanations:
This is not a statistical question as it has a single - valued answer for a specific individual's last name. There is no variability in the data.
Answer:
No
b. How many letters are in the last names of the students in my 6th - grade class?
Brief Explanations:
This is a statistical question because different students in the class have different last names with varying numbers of letters. There is variability in the data.
Answer:
Yes
c. What are the colors of the shoes worn by the students in my school?
Brief Explanations:
This is a statistical question since students in the school wear shoes of different colors, showing variability in the data.
Answer:
Yes
d. What is the maximum number of feet that roller coasters drop during a ride?
Brief Explanations:
This is not a statistical question. While there are many roller - coasters, the question is asking for a single value (the maximum drop), not about the distribution or variability of drop lengths among roller - coasters.
Answer:
No
e. What are the heart rates of the students in a 6th - grade class?
Brief Explanations:
This is a statistical question as different students in the class will have different heart rates, indicating variability in the data.
Answer:
Yes
f. How many hours of sleep per night do 6th - graders usually get when they have school the next day?
Brief Explanations:
This is a statistical question because 6th - graders will have different amounts of sleep, showing variability in the data.
Answer:
Yes
g. How many miles per gallon do compact cars get?
Brief Explanations:
This is a statistical question as different compact cars may have different miles - per - gallon ratings, indicating variability in the data.
Answer:
Yes
2. Identify each of the following 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, and they are numerical values representing a physical quantity.
Answer:
N
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
c. Favorite sport of each person in a group of 20 adults
Brief Explanations:
Favorite sports are non - numerical categories such as soccer, basketball, etc.
Answer:
C
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
e. Number of hours a week spent reading a book for a group of middle school students
Brief Explanations:
The number of hours is a numerical value representing time.
Answer:
N
3. Rewrite each of the following questions as a statistical question
a. How many pets does your teacher have?
Brief Explanations:
To make it a statistical question, we can ask about the distribution of the number of pets among teachers.
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 a statistical question, we can ask about the scoring distribution over multiple games.
Answer:
How many points does the high school soccer team score in its games?
c. How many pages are in our math book?
Brief Explanations:
To make it a statistical question, we can ask about the number of pages in different math books used in the school or a group of math books.
Answer:
How many pages are in the math books used in our school?
d. Can I do a handstand?
Brief Explanations:
To make it a statistical question, we can ask about the ability of a group of people to do handstands.
Answer:
What percentage of students in our class can do a handstand?