SAT Math : Data Analysis

Study concepts, example questions & explanations for SAT Math

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

Example Questions

Example Question #131 : Probability

Use the following table to answer the question.

Table2

How many students received an A in math?

Possible Answers:

Correct answer:

Explanation:

When looking at the table

Table2

we can see that is shows several students and within the subjects of Math, Science, and Art what grades those students received in those classes.

So, going over the table briefly, we can see the first student Katrina.  We see for Math she received an A.  For science, Katrina received an A.  And for Art, Katrina got a B.  We can read the table similarly for the remaining students.

Now, the question asks how many students received an A in math.  So we will look through the table and locate Math.  Once we locate Math, we will look at the grade that corresponds with it (In this example, we do not care about who the student is.  We just care about the grade).  So, we will count the number of A's we see matched up to the subject Math.

Once we do that, we see there are 3 students who received A's in Math (Katrina, Chris, and Fionn).

Example Question #132 : How To Find The Probability Of An Outcome

Use the following table to answer the question.

Table2

What class did Craig have the highest grade in?

Possible Answers:

Correct answer:

Explanation:

Let's look at the table.

Table2

We can see the first column lists all the students.  The next column shows all of the classes.  And the last column shows the grade they received in those classes.


Now, to find which class Craig received the highest grade, we must first locate Craig.  We can see all of Craig's classes are at the very bottom of the table.

Now, we will look at the grade he got in each class by following along the rows with Craig's name.

 

We can see Craig's first class is Math.  He received a B.

Craig's second class is Science.  He received an A.

Craig's third class is Art.  He received a B.

 

Knowing this, we can see the highest grade Craig received was an A.  The class where he received an A was Science.

Therefore, the class that Craig received the highest grade was Science.

Example Question #14 : Tables

Use the following table to answer the question:

Table2

What grade did Chris receive in Science?

Possible Answers:

Correct answer:

Explanation:

To answer the question, let's look at the table.

Table2

We can see the first column shows the different students, the next column shows the classes they are in, and the last column shows their grade in the class.

Now, to find what grade Chris received in Science, we will first locate Chris' name in the first column.

Now, we can see his name appears 3 times.  If we look to the right, we can see his name matches up to 3 different classes:  Math, Science, and Art.  We want to know his grade in Science, so we will choose that row.  

We will again look to the right to see the grade.  We can see that it says A.

Therefore, the grade that Chris received in Science was an A.

Example Question #301 : Data Analysis

The given table reports the average high and low temperatures over four years. What is the average rate of change for the high temperature during the four years?

Note: The temperature is in degrees Fahrenheit.  

Possible Answers:

Correct answer:

Explanation:

The given table reports the average high and low temperatures over four years. The question asks to calculate the average rate of change for the high temperature over the four years depicted.

To calculate average rate of change use the following formula.

Substitute these values into the formula looks as follows.

Therefore, the average rate of change for the high temperature from 2002 to 2005 is 2 degrees Fahrenheit.

Example Question #142 : How To Find The Probability Of An Outcome

The given table reports the average high and low temperatures over four years. What is the fraction of average low temperatures in 2002 to 2005?

Note: The temperature is in degrees Fahrenheit.  

Possible Answers:

Correct answer:

Explanation:

The table reports the average high and low temperatures over four years. To calculate the fraction of average low temperatures in 2002 to 2005 first identify the average low temperature in 2002 and in 2005.

Examining the table,

Average low temperature in 2002: 34 degrees Fahrenheit.

Average low temperature in 2005: 45 degrees Fahrenheit.

From here, to find the fraction of average low temperatures during this time period, use the following formula.

Example Question #302 : Data Analysis

A poll was taken from a random collection of  people, they were asked whether they approve or disapprove GMO's. 

 

 

 

Did GMO's have a higher approval rate in September or October?

Possible Answers:

September

October

Correct answer:

October

Explanation:

To figure out which month had a higher approval rate, we need to divide the approve number by the total number of people.

From this, we can determine that October had the highest approval rate.

Example Question #142 : Probability

Below is a table of earnings from playing blackjack.

 

Find the rate at which this is depreciating at each month.

Possible Answers:

Correct answer:

Explanation:

To determine what the rate is, we need to divide the proceeding value by the preceding value, for instance.

If we do this for the rest of the values, we will get the common ratio of .

 

Example Question #303 : Data Analysis

 

The above table shows how many people participated in a sport at a local gym. What is the probability that a man played basketball?

Possible Answers:

Correct answer:

Explanation:

In order to solve this, we need to look at the table. We simply take the number of men that played basketball and divide it by the total in the men row. 

Example Question #304 : Data Analysis

A research study was conducted where 300 participants were selected at random. Half received Treatment X and half did not. Those that received Treatment X had significantly improved eyesight. Based on the design and results of the study, which is an appropriate conclusion?

Possible Answers:

Treatment X is better than other treatments, will improve the eyesight of anyone

Treatment X is less likely to improve the eyesight of people who have poor eyesight

Treatment X is likely to improve the eyesight of people who have poor eyesight

Treatment X is worse than other treatments, and will not improve the eyesight of anyone

Correct answer:

Treatment X is likely to improve the eyesight of people who have poor eyesight

Explanation:

The best answer is ,"Treatment X is likely to improve the eyesight of people who have poor eyesight" because Treatment X is likely to improve eyesight, and the participates had poor eyesight to begin with.

Example Question #305 : Data Analysis

Spinner

The image above represents a spinner with 10 regions.  The 6 larger sectors have a radius that is twice that of the smaller sectors.

If spun, what is the probability that the spinner will stop while pointing to a green sector?

Possible Answers:

Correct answer:

Explanation:

The probability that the spinner will stop in a particular sector depends on the angle of the sector, not on the size of the sector. The radii of the sectors is therefore irrelevant.

The two larger green sectors are each one third of a quarter circle, and each is a sector of measure

.

The two smaller ones are each a half of a quarter circle, and each is a sector of measure 

.

Therefore, the total angle measure of the green sectors is

.

The probability that the spinner will stop in a green sector is found by taking this out of a total of :

Learning Tools by Varsity Tutors