Worksheet: The Mean, Median, or Mode of a Data Set

In this worksheet, we will practice finding the mean, median, or mode of a set of data.

Q1:

The table shows the average April rainfall, in inches, for 12 cities. If another city, with the value 2.1, is added to this list, which of the following would be true?

4.5 2.1 4.4 2.1 3.2 3.9
1.9 2.3 1.3 2.8 3.0 3.1
  • A The mode would decrease.
  • B The mean would increase.
  • C The median would increase.
  • D The mean would decrease.

Q2:

Shady would like to estimate how many books he reads per week on average. For six weeks, he has been producing a list of the books he had just read. His results are given in the table.

Week 1 2 3 4 5 6
Numbers of Books 2 3 1 2 0 1

Assuming that these six weeks are representative of his reading habits, what is the average number of books does Shady read per week?

Q3:

By using the data in the table, calculate the mean number. Give your answer to two decimal places.

Number 0 1 2 3 4
Frequency 5 15 22 40 6

Q4:

The graph shows the number of artefacts found by each member of an expedition during an excavation at a historical site. What was the most frequent number of artefacts found by a single member?

Q5:

Determine the mean, median, and mode for the given data.

Name Shady Adel Dalia Amir Sameh Yasmine Dina Ramy
Age 18 9 15 18 10 7 14 5
  • A mean 12, median 14, mode 18.
  • B mean 14, median 10, mode 18.
  • C mean 12, median 12, mode 15.
  • D mean 12, median 12, mode 18.

Q6:

Last month, Fares scored 82, 61, 86, and 82 in his English quizzes. If his lowest score was to be dropped, which of the following would increase?

  • Amedian
  • Bmode
  • Cmean

Q7:

Amir wants to know the most popular age at which to ride on a particular roller coaster in a theme park. Should he calculate the mean, median, or modal age of the riders?

  • AMedian age
  • BMean age
  • CModal age

Q8:

Find the mean, median, and mode of the following set of daily temperatures: 1 0 F , 1 F , 2 F , 5 F , 1 F , 6 F , 5 F , 4 F .

  • Amean = 0 F , median = 1 F , mode = 5 F
  • Bmean = 2 F , median = 0 F , mode = 5 F
  • Cmean = 1 F , median = 5 F , mode = 0 F
  • Dmean = 1 F , median = 0 F , mode = 5 F
  • Emean = 5 F , median = 0 F , mode = 1 F

Q9:

The marks earned on a maths test are 86, 80, 76, 68, 73, 85, 74, 70, 71, and 70. Find the mean, median, and mode for the set of data.

  • Amean = 7 3 . 5 , median = 7 5 . 3 , mode = 7 0
  • Bmean = 8 3 . 7 , median = 7 3 . 5 , mode = 7 0
  • Cmean = 7 0 , median = 7 3 . 5 , mode = 7 5 . 3
  • Dmean = 7 5 . 3 , median = 7 3 . 5 , mode = 7 0
  • Emean = 7 5 . 3 , median = 7 0 , mode = 7 3 . 5

Q10:

The lengths of several poles, in feet, are 30, 44, 60, 64, and 34. If a pole with a length of 28 is added to this list, which of the following statements would be true?

  • A The mean would increase.
  • B The median would increase.
  • C The range would decrease.
  • D The median would decrease.

Q11:

Fares collected the following data that represents the number of books his friends read last year. Which measure of data is represented by 9.5 books?

1 5 12 6 2 7 3 14 15
13 13 8 2 15 11 15 5 15
  • Amode
  • Bmean
  • Crange
  • Dmedian

Q12:

This bar chart shows the yearly membership of a robotics club from 2001 to 2005. Find the mean, median, mode, and range of the data.

  • Amean: 47, median: 31, mode: 29, range: 20
  • Bmean: 31, median: 38, mode: 31, range: 21
  • Cmean: 38, median: 49, mode: 31, range: 22
  • Dmean: 38, median: 31, mode: 31, range: 21
  • Emean: 38, median: 31, mode: 50, range: 19

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