Lesson: The Mode of a Data Set

In this lesson, we will learn how to find and interpret the mode of a data set.

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Sample Question Videos

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Worksheet: The Mode of a Data Set • 23 Questions • 5 Videos

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, .

If the mode is 12, which number could be?

Q6:

Which data set has a mode of 6?

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.

Q9:

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

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

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.

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 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:

Mona has the following data: 3, 6, 4, 5, .

If the mode is 6, find the value of .

Q20:

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

Thomas 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

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.

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
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