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

Q1:

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

Name Anthony Noah Olivia Liam Matthew Natalie Amelia James
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.

Q2:

Last month, Daniel 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

Q3:

Liam 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

Q4:

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

Q5:

The scores earned on a math 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

Q6:

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.

Q7:

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.

Q8:

Daniel 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

Q9:

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

Q10:

The ages of people who attend a parent and toddler group are recorded as follows: 2, 3, 29, 31, 4, 33, 2, 2, 1, 40, 3, 3, 24, 31.

Calculate the mean age, giving your answer to one decimal place.

Calculate the median age.

Calculate the modal age.

  • A1 and 40
  • B2
  • C2 and 3
  • D3
  • E3.5

Calculate the range of ages.

In this instance, given that none of the values would be considered outliers and taking into account the value of the range, which of the three measures of central tendency would be most informative of the whole data set?

  • AThe mean
  • BThe median
  • CThe mode

Q11:

The data set shows the number of tomatoes growing on each tomato plant in a garden.

7 12 8 3 0 4 4 6 5

Find the median of the data.

Calculate the mean of the data, giving your answer correct to the nearest integer.

Find the mode of the data.

Q12:

Find the mean, median, and mode for the following data set: 26, 19, 55, 27, 14, 18, 26, 10, 42, 40, 33, 5.

  • Amean = 29, median = 26, mode = 26
  • Bmean = 26, median = 23, mode = 26
  • Cmean = 26, median = 26, mode = 40
  • Dmean = 26.25, median = 26, mode=26
  • Emean = 29, median = 23, mode = 40