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Worksheet: Using the Measures of Center and Variability to Understand the Data Set

Q1:

Mason’s game scores were 6 , 2, 2, 4 , 9 , 5 , and 8. Determine the median.

Q2:

Two values are missing from the shown data set. Given that the mode is 88, the mean is 55, and the data is listed in ascending order, find the missing values.

  • A88, 89
  • B57, 89
  • C89, 89
  • D57, 88
  • E57, 33

Q3:

Two values are missing from the shown data set. Given that the mode is 58, the mean is 39, and the data is listed in ascending order, find the missing values.

  • A58, 59
  • B6, 59
  • C59, 59
  • D6, 58
  • E6, 19

Q4:

Three values are missing from the shown data set. Given that the median is 66, the mean is 55, the range is 67, and the data is listed in ascending order, find the missing values.

  • A29, 66, 81
  • B13, 73, 81
  • C13, 66, 80
  • D13, 73, 80
  • E11, 73, 80

Q5:

Anthony tracked the number of laps he ran each day on this line graph. Find the mean number of laps.

Q6:

The given line plot shows the magnitudes of earthquakes that recently took place around the world. Determine the mean and the median of the data.

  • Amean = 2.66, median = 2.2
  • Bmean = 2.5, median = 2.66
  • Cmean = 2.74, median = 2.5
  • Dmean = 2.66, median = 2.5
  • Emean = 2.74, median = 2.2

Q7:

The points that each player scored during a basketball game are shown in the table. Find the median of the points scored.

Emma Olivia Natalie Sophia Jennifer Madison
4 10 17 8 15 14

Q8:

Find the median number of laps that Sophia ran this week.

Q9:

The line graph shows the number of people who subscribed to an online course last June. The administration forgot to record 1 person who subscribed on the 15th. How will the median change if these values are added?

  • AThe median would still be the 17th.
  • BThe median would increase from the 14th to the 17th.
  • CThe median would decrease from the 17th to the 14th.
  • DThe median would still be the 14th.
  • EThe median would increase from the 14th to the 20th.

Q10:

Two values are missing from the shown data set. Given that the median is 67, the range is 44, and the data is listed in ascending order, find the missing values.

  • A70, 87
  • B74, 87
  • C62, 76
  • D72, 87
  • E72, 76

Q11:

Find all modes for data in the given line plot.

  • A35
  • B33
  • C33, 34
  • D34

Q12:

Find a set of two positive and three negative integers for which the mean, median, and mode are all 1 .

  • A 2 4 , 1 , 1 , 10, 21
  • B 2 4 , 1 , 10, 21, 1 1
  • C 2 4 , 1 , 1 , 10, 1 1
  • D 2 4 , 1 , 1 , 10, 11
  • E 2 4 , 1 , 1 1 , 10, 11

Q13:

Which of the following sets of data has a mode of 48 and a median of 20?

  • A47, 47, 11, 48, 20, 17
  • B48, 21, 11, 48, 20, 17
  • C10, 16, 19, 21, 47, 47
  • D21, 48, 19, 48, 17, 11
  • E20, 48, 48, 11, 11, 19

Q14:

Four values are missing from the shown data set. Given that the mode is 83, the mean is 48, the median is 42, and the data is listed in ascending order, find the missing values.

  • A13, 35, 35, 83
  • B13, 13, 47, 83
  • C13, 83, 83, 83
  • D13, 47, 83, 83
  • E5, 13, 83, 83

Q15:

Find the median of the set of data represented in this line plot.

Q16:

Find the range of the number of laps Amelia jogged this week.

Q17:

Which of the following choices gives the range of a set of data?

  • A the upper bound
  • B the upper bound + the lower bound
  • C the lower bound
  • D the upper bound the lower bound

Q18:

Find the range of the values 1 6 0 3 5 0 2 6 0 1 8 0 1 5 0 1 9 0 2 6 0 2 6 0 , , , , , , , a n d .

Q19:

A set of four numbers has a range of 7, a median of 13, and a mode of 16. Given that the highest number is also the mode, what are the four numbers?

  • A9, 11, 16, 16
  • B10, 10, 16, 16
  • C9, 11, 17, 17
  • D9, 10, 16, 16

Q20:

Which of the following sets of data has a median of 45, a range of 57, and a mode of 45?

  • A26, 26, 45, 77, 20, 76
  • B26, 67, 20, 20, 20, 45
  • C26, 67, 20, 45, 44, 77
  • D67, 45, 26, 77, 20, 45
  • E25, 67, 19, 45, 45, 77

Q21:

Three values are missing from the shown data set. Given that the mode is 44, the mean is 58, the range is 44, and the data is listed in ascending order, find the missing values.

  • A44, 70, 82
  • B44, 70, 78
  • C70, 70, 80
  • D44, 70, 80
  • E44, 44, 80

Q22:

Four values are missing from the shown data set. Given that the mode is 89, the median is 81, the range is 32, and the data is listed in ascending order, find the missing values.

  • A65, 91, 91, 73
  • B89, 89, 89, 92
  • C91, 89, 89, 89
  • D73, 89, 89, 91
  • E89, 91, 91, 92

Q23:

The given graph shows Emma’s test scores. Find the mean score.

Q24:

The bar graph shows the number of DVDs bought by a group of friends. Determine the mean number of DVDs bought by the group.