ACT Math : Statistics

Study concepts, example questions & explanations for ACT Math

varsity tutors app store varsity tutors android store varsity tutors ibooks store

Example Questions

Example Question #51 : Statistics

What is the mean of the values of  for values of  between  and ?

 

Possible Answers:

Correct answer:

Explanation:

For this, you need to calculate for each of your values:

The mean of these numbers is merely:

Example Question #51 : How To Find Arithmetic Mean

Henry is  taller than Barbara, who is  shorter than Lisa. If Lisa is  tall, what is the mean height of this group?

 

Possible Answers:

Correct answer:

Explanation:

Based on our information, we know the following values for the individuals’ heights:

Lisa:  inches

Barbara:  inches

Henry:  inches

Thus, the mean height for this group is:

Example Question #52 : Statistics

In a class of  students,  took an exam on Wednesday. Based on these  students, the average score was . If the last two students scored a  and a , what was the average score for the whole class?

Possible Answers:

Correct answer:

Explanation:

To compute this, you need first to compute the total points earned by the first group of students. This would be:

Now, you need to add in the scores of the two new students:

To compute the new average, you need to divide this value by :

Example Question #51 : Statistics

A basketball player in the 2015 NBA finals scored the following point totals over 6 games:

44, 39, 40, 20, 40, and 32. What was his mean points per game? (Round to the nearest tenth)

Possible Answers:

Correct answer:

Explanation:

To find the mean, sum all the numbers and divide by the total amount of numbers.

Example Question #52 : Statistics

The following is a list of test scores received by one student on her last 7 tests:
92, 91, 84, 72, 88, 95, 96. What is her average test score? Round your answer to the nearest tenth.

Possible Answers:

Correct answer:

Explanation:

To find the average of a given data set, sum the totals and divide by the total number of numbers in your data set.


Example Question #53 : Statistics

A student runs a mile around the track and his coach takes record of each lap's time. His times were as follows in seconds:

.

Using this data, find the student's mean lap time.

Possible Answers:

Correct answer:

Explanation:

To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.

In this case there are 4 data points. 

.

Example Question #54 : Statistics

A group of 8 friends collect baseball cards. After years of collecting the students count how many cards they personally own. The quantity of each collection is listed as follows:

.

What is the mean value of baseball cards each friend owns?

Possible Answers:

Correct answer:

Explanation:

To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.

In this case there are 8 data points. 

.

Example Question #55 : How To Find Arithmetic Mean

For a fundraiser, six students attempt to collect as many canned goods as possible. After a week of collecting, student individually collected the following amounts of cans:

.

What is the mean value of cans collected per student?

Possible Answers:

Correct answer:

Explanation:

To find the arithmetic mean, you simply add up all of the data and divide by the number of data points there are.

In this case there are 6 data points. 

.

Example Question #56 : Statistics

The day of the month that seven students were born on is recorded below (note, the month they were born is irrelevant, only the day of the month matters):

what is the average day of the month the students were born on? Round your answer to the nearest tenth if necessary.

Possible Answers:

Correct answer:

Explanation:

The arithmetic average is found by calculating the sum of the given data set, then dividing by the total number of numbers in the data set:

Example Question #55 : How To Find Arithmetic Mean

A sequence of five unknown numbers follows the following pattern:

If the average of this sequence is , what is ?

Possible Answers:

Correct answer:

Explanation:

The average of a set of numbers involves adding up all of the numbers and dividing by the number of terms:

In this problem, since we do not know what the values are, we add the sequence in terms of .  

 

 

Therefore, .

Learning Tools by Varsity Tutors