SSAT Middle Level Math : Data Analysis and Probability

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #613 : Ssat Middle Level Quantitative (Math)

Consider the table. On which day of the week is the combined total of Ben and Jason's TV viewing the greatest?

Isee_mid_question_8

Possible Answers:

Thursday

Sunday

Friday

Saturday

Correct answer:

Sunday

Explanation:

On Sundays, Ben and Jason watch a total of 5.9 hours of TV:

They watch less TV on all other days: On Saturdays they watch 5.7 hours, on Fridays they watch 4.5 hours, and on Thursdays they watch 2.4 hours.

Example Question #611 : Ssat Middle Level Quantitative (Math)

Below is the list of candidates for Student Council president, along with the number of votes each won:

What percent of the votes (nearest whole number) were won by the third-place finisher?

Possible Answers:

Correct answer:

Explanation:

Third place was won by Harris, who won 64 out of  votes. To rewrite this as a percent, solve this proportion statement for  :

Example Question #1 : How To Find The Answer From A Table

Graph

The above circle graph shows the results of a school election. According to the rules, the election falls to the student who wins the majority of the votes; if no student wins a majority, the top two vote-getters will face each other in a runoff, with the winner being elected.

Which of the following is the result of this election?

Possible Answers:

Phelps won the election outright.

Phelps, Creighton, and Wells will face one another in a runoff.

Phelps and Wells will face each other in a runoff.

Phelps and Creighton will face each other in a runoff.

None of the other choices is correct.

Correct answer:

Phelps and Creighton will face each other in a runoff.

Explanation:

Since each of the six portions of the graph takes up less than half, no one won a majority. Therefore, there will be a runoff. The two largest portions are light blue (Phelps) and orange (Creighton), so Phelps and Creighton got the most and second-most votes, and they will face each other in a runoff.

Example Question #201 : Data Analysis And Probability

Graph

The above circle graph shows the results of a school election. According to the rules, the office of President falls to the student who wins the most votes, and the office of Vice-President falls to the student who finishes second. A runoff only happens in case of a tie.

Which of the following is the result of this election?

Possible Answers:

Phelps was elected President and Creighton was elected Vice-President.

Phelps was elected President; Creighton and Wells will face each other in a runoff to determine who will be Vice-President.

Phelps was elected President and Wells was elected Vice-President.

Phelps and Creighton will face each other in a runoff to determine which will be President and which will be Vice-President.

Phelps and Wells will face each other in a runoff to determine which will be President and which will be Vice-President.

Correct answer:

Phelps was elected President and Creighton was elected Vice-President.

Explanation:

The two largest portions of the pie graph are light blue (Phelps) and orange (Creighton); Phelps got the most votes and Creighton got the second-most. Therefore, Phelps was elected President and Creighton was elected Vice-President - there will be no runoffs.

Example Question #2 : How To Find The Answer From A Table

Graph

The above circle graph shows the results of a school election. According to the rules, the office of President falls to the student who wins the most votes; the office of Vice-President falls to the student who finishes second; the office of Secretary-Treasurer falls to the student who finishes third. A runoff only happens in case of a tie.

Which candidate was elected Secretary-Treasurer?

Possible Answers:

Wells and Creighton will face each other in a runoff.

Creighton was elected Secretary-Treasurer.

Wells and Hawley will face each other in a runoff.

Wells was elected Secretary-Treasurer.

Hawley was elected Secretary-Treasurer.

Correct answer:

Wells was elected Secretary-Treasurer.

Explanation:

The third-largest portion of the circle graph is gray, which, according to the legend, corresponds to Wells's share of the vote. Wells was elected Secretary-Treasurer outright.

Example Question #12 : How To Find The Answer From A Table

Below is a table that gives the population of Washington City for six census years.

Which of the following decades saw the greatest growth in the city's population?

Possible Answers:

1980 to 1990

1970 to 1980

1960 to 1970

2000 to 2010

Correct answer:

2000 to 2010

Explanation:

For each decade, take the difference of the population of the last year and that of the first year. We can omit 1990 to 2000, as the population declined over that decade.

1960-70: 

1970-80: 

1980-90: 

2000-10: 

The greatest growth occurred between 2000 and 2010.

Example Question #1 : Make A Line Plot To Display A Data Set Of Measurements In Fractions And Solve Problems: Ccss.Math.Content.5.Md.B.2

Mrs. Smith’s class made a line plot to show the amount of sugar that each student has in a given day. 


Screen shot 2015 07 29 at 11.22.58 am

How many students have  cups of sugar?

Possible Answers:

Correct answer:

Explanation:

Each X represents one person. There are  Xs above the  tick mark on the line plot. 

Example Question #2 : Make A Line Plot To Display A Data Set Of Measurements In Fractions And Solve Problems: Ccss.Math.Content.5.Md.B.2

Mrs. Smith’s class made a line plot to show the amount of sugar that each student has in a given day. 

Screen shot 2015 07 29 at 11.22.58 am

How many students have  cups of sugar?

Possible Answers:

Correct answer:

Explanation:

Each X represents one person. There are  Xs above the  tick mark on the line plot. 

Example Question #3 : Make A Line Plot To Display A Data Set Of Measurements In Fractions And Solve Problems: Ccss.Math.Content.5.Md.B.2

Mrs. Smith’s class made a line plot to show the amount of sugar that each student has in a given day. 

Screen shot 2015 07 29 at 11.22.58 am

How many students have  cup of sugar?

Possible Answers:

Correct answer:

Explanation:

Each X represents one person. There are  Xs above the  tick mark on the line plot. 

Example Question #4 : Make A Line Plot To Display A Data Set Of Measurements In Fractions And Solve Problems: Ccss.Math.Content.5.Md.B.2

Mrs. Smith’s class made a line plot to show the amount of sugar that each student has in a given day. 

Screen shot 2015 07 29 at 11.22.58 am

How many students have  or  cups of sugar?

Possible Answers:

Correct answer:

Explanation:

To solve this problem, we have to add the number of Xs above the  tick mark to the number of Xs above the  tick mark. 

There are  Xs above the  tick mark and  Xs above the  tick mark. 

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