Worksheet: The Mode of a Data Set
In this worksheet, we will practice finding and interpreting the mode of a data set.
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 given that the mode of 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 Jacobβs 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 |
- 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 toysβ heights?
Q12:
The table shows the average temperature of a city on each day in AprilΒ 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 given that the mode of is 10.
Q15:
What is the mode of the following numbers: 3, 9, 2, 2, 2, 9?
Q16:
Find given that the mode of is .
Q17:
Given that the mode of the values 16, 8, 11, and is 16, find the value of .
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 |
Q20:
The table shows the marks out of 10 that students scored in a test. How many students scored lower than the modal mark?
| Liam | 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 |
- 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.
- 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 | 2β5 | 6β9 | 10β13 | 14β17 | 18β21 | 22β25 | 26β | 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.
- A3.5
- B3.1
- C2.2, 3.1
- D3.2
- E2.2