Worksheet: The Mode of a Data Set

In this worksheet, we will practice finding and interpreting the mode of a data set.

Q1:

Given that the mode of the values 1 3 1 2 1 8 8 π‘Ž , , , , a n d is 12, find the value of π‘Ž .

Q2:

Find the mode of the values 3 1 0 1 1 0 2 1 0 2 2 0 3 5 0 1 2 0 2 7 0 2 9 0 3 5 0 4 0 0 , , , , , , , , , a n d .

Q3:

The following data points represent the number of goals scored by a player in 10 consecutive matches: What was the mode score?

Q4:

Find the mode of the values 1 3 2 0 3 3 3 2 0 2 0 1 1 3 1 3 1 2 , , , , , , , , , , a n d .

Q5:

Rania has the following data: 12, 10, 4, 8, 16, π‘š .

If the mode is 12, which number could π‘š be?

Q6:

Which data set has a mode of 6?

  • A6, 20, 20, 15
  • B6, 20, 15, 15
  • C6, 20, 5, 15
  • D6, 6, 15, 20
  • E6, 22, 14, 15

Q7:

Find the value of π‘Ž given that the mode of π‘Ž + 1 , π‘Ž + 3 , π‘Ž , π‘Ž + 3 , π‘Ž + 2 is 12.

Q8:

A group of students were selling boxes of cookies to raise money for a charity. The line plot shows how many boxes of cookies the students sold. Determine whether the mode would be a good measure of central tendency for the data or not, and explain why.

  • ANo, the mode is not a good measure of central tendency because it is very high compared with the other data points.
  • BYes, the mode closely represents the middle of the data.

Q9:

Emma cycles 20 miles every Monday, 13 miles every Wednesday, and 17 miles every Friday. Describe how the mode would be affected if Emma adds a 24-mile bike ride every Saturday.

  • AThe mode would remain unchanged at 17.
  • BThe mode would decrease from 24 to 13.
  • CThe mode would increase from 13 to 24.
  • DThere is no mode either way.
  • EThere would be a mode of 24 instead of no mode.

Q10:

The table shows Bassem’s savings per day. Describe how the mode would be affected if the $14.90 savings were not included.

Day Saturday Sunday Monday Tuesday Wednesday Thursday
Savings $6.60 $11.40 $12.30 $8.00 $9.00 $14.90
  • AThe mode would remain unchanged.
  • BThe mode would decrease.
  • CThe mode would increase.
  • DThere is no mode either way.

Q11:

Amira measured the heights of 5 of her toys. They were 10 inches, 6 inches, 6 inches, 4 inches, and 3 inches.

What is the mode of the toys’ heights?

Q12:

The table shows the average temperature of a city on each day in April 2016. Find the mode of the temperatures.

24 23 29 29 26 26 23 28 24 26
29 26 26 24 24 23 23 29 27 26
29 24 24 25 29 29 27 28 25 25

Q13:

Determine all the modes, if there are any, of the following data set: 4.1, 5.3, 2.4, 2.7, 8.7, 8.2, 4.5, 9.6, 5.9, 5.1, 7.6.

  • A8.2
  • B8.7
  • C2.7 , 9.6
  • Dnone

Q14:

Find π‘₯ given that the mode of 1 0 , 1 0 , π‘₯ + 2 , 5 , 2 , 2 , 1 2 is 10.

Q15:

What is the mode of the following numbers: 3, 9, 2, 2, 2, 9?

Q16:

Find π‘₯ given that the mode of 1 3 1 3 1 7 1 1 1 1 4 , , , , a n d is 1 π‘₯ .

Q17:

Given that the mode of the values 16, 8, 11, and 2  is 16, find the value of 𝑋 .

Q18:

The table shows the weights of 20 primary school students. Find the mode weight of the students.

36 41 33 34 42
36 33 40 38 36
35 36 33 35 35
30 34 33 33 32

Q19:

Elizabeth has the following data: 3, 6, 4, 5, π‘š .

If the mode is 6, find the value of π‘š .

Q20:

The table shows the marks out of 10 that students scored in a test. How many students scored lower than the modal mark?

Sherif 5 6 7 8 9 10
Frequency 2 11 14 7 4 1

Q21:

Over a period of 15 days, temperatures were measured and recorded in the given table. Is 14 degrees the most recurrent temperature?

1 1 7 1 1
11 8 14 1 8
2 1 11 1 1
  • Ano
  • Byes

Q22:

Two values are missing from the shown data set. Given that the mode 35 and the data is listed in ascending order, find the missing values. 7 , 3 5 , , , 4 2 , 4 2 .

  • A35, 42
  • B42, 42
  • C7, 42
  • D35, 35
  • E7, 35

Q23:

The table shows the distribution of marks 40 students attained in an exam. Find the mode number of marks.

Mark 2–5 6–9 10–13 14–17 18–21 22–25 26– Total
Frequency 2 3 4 11 8 7 5 40

Q24:

The line plot shows the magnitudes of several recent earthquakes. Find all the modal values of the data.

  • A2.2, 3.1
  • B3.2
  • C3.5
  • D3.1
  • E2.2

Q25:

A bookshop sold 11 books by Haruki Murakami, 2 books by Henry Thoreau, and 6 books by Carl Jung. Determine the mode for this data.

  • ACarl Jung
  • BHenry Thoreau
  • CHaruki Murakami

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