Statistics and Probability - Part 1

A store owner wrote down the lengths, rounded to the nearest minute, of 18 playlists on the store’s music player. The lengths are shown below.

34, 37, 39, 42, 42, 44, 46, 48, 49, 49, 50, 55, 56, 56, 57, 61, 62, 64

The store owner then made the histogram shown below to represent this data.

The store owner made an error in the height of one of the bars of the histogram. Which range of times in the histogram has a bar that is incorrect?

• 30-39

• 40-49

• 50-59

• 60-69

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Bella called 7 pizza restaurants and recorded the number of pizza toppings offered at each restaurant. Her data are shown below.

6, 24, 14, 16, 11, 14, 20

What is the median number of pizza toppings offered by the restaurants Bella called?

• 14

• 15

• 16

• 18

Tags

CCSS.6.SP.B.5C

For a class project, Andrew conducted a random survey of 22 people at a library. He asked each person how many hours, rounded to the nearest hour, he or she spends watching the news on television each week. The histogram shows the results.

Which pair of statements must be true about the results of the survey?

• The mode must be in the interval 1–5.The mean could be in the interval 16–20.

• The median could be in the interval 1–5.

  The mean must be in the interval 11–15.

• The median must be in the interval 6–10.

  The range could be less than 20.

• The mode could be in the interval 16–20.

  The range must be greater than 20.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

The numbers of people who attended the monthly meetings at a school last year are listed below.

12 14 15 15 16 16 16 17 18 18 18 20

Which box-and-whisker plot represents the numbers of people who attended the monthly meetings last year?

• A

• B

• C

• D

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Tony asked his classmates how many kinds of cereal they had at home. The data set is shown in the list below.

0, 0, 0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 5, 5, 6, 7, 7

Tony calculates the mean, median, mode, and range of this data. He then excludes the values of 0 from the data and recalculates the mean, median, mode, and range. Which measure remains the same as it was for the original data set?

• mean

• median

• mode

• range

The line plot shows the numbers of servings of fruit some students ate in one day. When the data for two more students are added to the line plot, the mean number of servings changes but the median number of servings does not change. Which pair of numbers could be the numbers of servings of fruit for these two students?

• 0,1

• 2,4

• 3,3

• 4,5

The finish times, in seconds, of ten runners in a race are shown below.

12.8 12.6 13.5 13.8 13.7 12.8 13.3 15.8 12.8 14.9

Which statement about the finish times, in seconds, is true?

• Most of the finish times are higher than the mean.

• Most of the finish times are clustered around the mode.

• Most of the finish times are between 12 and 13 seconds.

• Most of the finish times are clustered around the median.

Tags

CCSS.6.SP.A.2

Jacob has 1 penny, 5 nickels, 3 dimes, and 4 quarters. What is the median of the values of Jacob’s coins?

• 5 cents

• 10 cents

• 12 cents

• 15 cents

Tags

CCSS.6.SP.B.5C

The lengths, in inches, of the fish Casey caught are listed below.

8 8 12 11 10 8 10 9

Casey catches one more fish that is 13 inches long. Which measure will remain the same when the 13-inch fish is included in the list of fish lengths?

• mean

• median

• mode

• range

The heights, rounded to the nearest inch, of daisies in a garden are listed below.

6 7 8 10 6 5 5 9 8 6

Which histogram correctly displays the heights?

• A

• B

• C

• D

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1