New
New
Year 8

Calculating the mode

I can calculate the mode from data presented in a frequency table and different graphs.

New
New
Year 8

Calculating the mode

I can calculate the mode from data presented in a frequency table and different graphs.

Lesson details

Key learning points

  1. The mode can be calculated from an ungrouped frequency table.
  2. The mode can be calculated from a bar chart.
  3. The mode can be calculated from a line graph.

Common misconception

Pupils may mistakenly choose the bars which have the same heights to be the mode.

By reminding the pupils of the definition of the mode and asking the question in the context of the data, this should support students.

Keywords

  • Frequency - The frequency is the number of times an event occurs; or the number of individuals (people, animals etc.) with some specific property.

  • Mode - The mode is the most frequent value. It is a measure of central tendency representing the average of the values.

To highlight that the mode is more meaningful for larger data sets, ask a small sample of students to write down a number between 1 and 20. Then increase the sample size by a little and keep repeating this.
Teacher tip

Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

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6 Questions

Q1.
Sets of data which have modes are known as bimodal data.
Correct Answer: two, 2
Q2.
Select the frequency table that shows the data represented in this bar chart.
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
Select the data set that matches the line graph.
An image in a quiz
30, 29, 27, 28, 25
32, 30, 27, 28, 25
32, 29, 27, 29, 25
Correct answer: 32, 29, 27, 28, 25
Q4.
This list of data: 4, 6, 3, 6, 2, 8, 2, 9, 2 6, 3, 6, 5 has a mode of .
Correct Answer: 6, six
Q5.
The data represented on this dot plot has __________ mode(s).
An image in a quiz
no
Correct answer: one
two
three
Q6.
Which of these are trimodal data sets?
Correct answer: 0, 0, 0, 1, 2, 2, 2, 3, 3, 4, 4, 5, 5, 5, 6, 6
0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 4, 5, 5, 6, 6
Correct answer: 0, 0, 1, 2, 2, 3, 4, 5, 5, 6
3, 3, 3, 3, 3, 3, 3

6 Questions

Q1.
The is the most frequent value. It is a measure of central tendency representing the average of the values.
Correct Answer: mode
Q2.
Which of these frequency tables has no mode?
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
This line graph shows data about the time taken for the journey to school in one week. Which of the following statements is correct?
An image in a quiz
The mode time is 32 minutes as this is the journey which took the most time.
Correct answer: There is no mode as no journey time occurred more than once in the week.
Q4.
The modal pet type is .
An image in a quiz
Correct Answer: cat, CAT, Cat
Q5.
This bar chart shows data about the goals scored in matches over a season. The modal number of goals scored in a match is goals.
An image in a quiz
Correct Answer: 3 , three
Q6.
Select all the data sets that show bimodal data.
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz