Measures of Center Answers

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The table shows the heights, in inches, of players on a girls’ basketball team.

The data show the number of pieces of mail delivered to a single home address each day for three weeks.4, 0, 2, 6, 1, 0, 3, 4, 0, 2, 4, 1, 5, 2, 3, 1, 1, 2Which statement is true about a graph representing the data? Select two options.The number line of a dot plot would start at 1.A dot plot would show 7 points for numbers greater than 2.The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.A histogram would have a maximum of 7 bars.A histogram should not show a bar that includes 0 pieces of mail.

The number line of a dot plot would start at 1.

A dot plot would show 7 points for numbers greater than 2.

The intervals on a histogram should be 0 to 2, 3 to 4, and 5 to 6.

A histogram would have a maximum of 7 bars.

A histogram should not show a bar that includes 0 pieces of mail.

Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

Ms. Redmon gave her theater students an assignment to memorize a dramatic monologue to present to the rest of the class. The graph shows the times, rounded to the nearest half minute, of the first 10 monologues presented.

The median will decrease.

The mean will decrease.

The median will increase.

The mean will increase.

There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%, 76%, 72%, 92%, 74%, 80%, and 78%. What was the median math score of the sophomores?

79%

82%

87%

92%

A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 31 players.

The mean is the best choice because the data is nearly symmetrical.

The median is the best choice because data is clustered.

The mean is the best choice because the data is skewed to the right.

The median is the best choice because the data is skewed to the left.

The dot plot shows the number of text messages Mr. Garcia sent each day so far this month.

The graph is skewed left.

The graph is skewed right.

The graph is nearly symmetrical.

the graph is perfectly symmetrical.

The dot plot represents an order of varying shirt sizes.Which histogram represents the same data?

A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.

A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 11 shirts are size 10 to 12. 11 shirts are size 14 to 16. 12 shirts are size 18 to 20. 8 shirts are size 22 to 24.

A graph shows shirt size labeled 2 to 3 thru 22 to 24 on the horizontal axis and number of shirts on the vertical axis. 0 shirts are size 2 to 3. 0 shirts are size 6 to 8. 4 shirts are size 10 to 12. 8 shirts are size 14 to 16. 6 shirts are size 18 to 20. 2 shirts are size 22 to 24.

A number line going from 1 to 13. 0 dots are above 1. 2 dots are above 2. 1 dot is above 3. 0 dots are above 4. 0 dots are above 5. 0 dots are above 6. 2 dots are above 7. 3 dots are above 8. 0 dots are above 9. 0 dots are above 10. 4 dots are above 11. 3. dots are above 12. 0 dots are above 13.

Ms. Monroe mixes 200 cubes of 4 different colors for a project. She then uses a scoop to place 20 cubes into each of 10 paper bags. Each group records the number of cubes of each color in a bag. The number of red cubes for the 10 groups are recorded in the graph.

The mean number of red cubes is less than the median number of red cubes.

The mean number of red cubes is more than the median number of red cubes.

The mean number of red cubes is equal to the median number of red cubes.

The mean number of red cubes cannot be compared to the median number of red cubes.

The graph shows the number of pages in each chapter of a book that Josh is reading.

The outlier of 2 increases the median page count.

The outlier of 2 increases the mean page count.

The outlier of 2 decreases the median page count.

The outlier of 2 decreases the mean page count.

The graph shows the ages of different concertgoers who have backstage passes.

A late arrival who is 21 years old with a back-stage pass will make the mean greater than the median.

The two holders of back-stage passes whose ages are above 40 make the mean age higher than the median age.

The ages of concert-goers with backstage passes are skewed left, so the mean age is less than the median age.

A concert-goer who is 18 years old and wins a back-stage pass will pull the mean more than 2 years less than the median.

Which could be Brooke’s sixth quiz score? Select three options.

Colin surveyed 12 teachers at his school to determine how much each person budgets for lunch. He recorded his results in the table.What does the relationship between the mean and median reveal about the shape of the data?

The mean is less than the median, so the data is skewed left.

The mean is more than the median, so the data is skewed right.

The mean is equal to the median, so the data is symmetrical.

The mean is equal to the median, so the data is linear.

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