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Worksheet: The Mode of a Data Set

Q1:

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

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

  • A 5
  • B 13
  • C 17
  • D 12
  • E 11

Q2:

The table shows Jacob’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.

Q3:

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

Q4:

Sophia 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?

Q5:

The line plot shows the number of people who subscribed to an online course last June. The deadline for subscription was the 20th of June. How would the mode of the subscription dates be affected if the administration office forgot to record one person who subscribed on the 14th?

  • AThe mode would remain unchanged at the 10th
  • BThe mode would change from the 11th to be the 13th
  • CThe mode would change from the 13th to be the 11th
  • DThe mode would remain unchanged at the 13th
  • EThe mode would change from no mode to the 14th

Q6:

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 .

Q7:

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

Q8:

The table shows the marks that 35 students attained in an examination. Find the mode number of marks attained.

Marks 25 26 27 28 29 30
Number of Students 8 5 5 4 3 10

Q9:

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

Q10:

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.

Q11:

The table shows the number of goals scored by a team in a football season. What was the mode number of goals scored?

Number of Goals Scored 0 1 2 3 4 5 6
Frequency 5 5 4 3 3 4 6

Q12:

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

Q13:

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

Q14:

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

Q15:

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

Q16:

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.

Q17:

Given that the mode of the values 16, 8, 11, and 2 𝑋 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?

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

Q21:

A student recorded the length of their bus journey to school each day for three weeks. The table shows the values the student recorded. Calculate the mode journey length.

Week Day 1 Day 2 Day 3 Day 4 Day 5
1 13 20 17 21 18
2 22 22 17 21 23
3 24 25 20 13 22

Q22:

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

Q23:

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.

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