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 1312188π‘Ž,,,,and is 12, find the value of π‘Ž.

Q2:

Find the mode of the values 310110210220350120270290350400,,,,,,,,,and.

Q3:

The following data points represent the number of goals scored by a player in 10 consecutive matches: 2,1,2,0,1,2,1,4,4,2. What was the mode score?

Q4:

Find the mode of the values 132033320201131312,,,,,,,,,,and.

Q5:

Scarlett 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, 6, 15, 20
  • D6, 20, 5, 15
  • 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.
  • BThere would be a mode of 24 instead of no mode.
  • CThe mode would increase from 13 to 24.
  • DThe mode would decrease from 24 to 13.
  • EThere is no mode either way.

Q10:

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

DaySaturdaySundayMondayTuesdayWednesdayThursday
Savings$6.60$11.40$12.30$8.00$9.00$14.90
  • AThere is no mode either way.
  • BThe mode would remain unchanged.
  • CThe mode would increase.
  • DThe mode would decrease.

Q11:

Charlotte 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 AprilΒ 2016. Find the mode of the temperatures.

24232929262623282426
29262624242323292726
29242425292927282525

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 10,10,π‘₯+2,5,2,2,12 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 13131711114,,,,and is 1π‘₯.

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.

3641333442
3633403836
3536333535
3034333332

Q19:

Isabella 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?

Liam5678910
Frequency21114741

Q21:

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

11711
1181418
211111
  • Ayes
  • Bno

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. 7,35,,,42,42.

  • A42, 42
  • B35, 42
  • C7, 42
  • D7, 35
  • E35, 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
Frequency2341187540

Q24:

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

  • A3.5
  • B3.1
  • C2.2, 3.1
  • D3.2
  • E2.2

Q25:

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

  • AHenry Thoreau
  • BCarl Jung
  • CHaruki Murakami

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