New
New
Year 8

Calculating the median

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

New
New
Year 8

Calculating the median

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

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Lesson details

Key learning points

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

Keywords

  • Data - Data are a collection of information

Common misconception

Pupils may choose the middle bar on the bar chart or the middle value on the x-axis as their median.

Pull off the data from the bar chart or line graph to show where the median value is.

Try to discourage the writing of the list each time by using large data sets once students are more fluent with the task.
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).

Lesson video

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6 Questions

Q1.
A vet records how many of each type of pet she sees in a week. Which category of pet did the fewest people have?
An image in a quiz
Correct Answer: hamster, Hamster
Q2.
How many pieces of data are represented by this bar chart?
An image in a quiz
4
12
15
48
Correct answer: 58
Q3.
The median is the central (middle) piece of data when the data are in numerical . It is a measure of central tendency representing the average of the values.
Correct Answer: order
Q4.
The median of these data: 1, 1, 1, 3, 5, 5, 5, 6, 6, 7, 7, 8, 8, 9 is .
Correct Answer: 5.5, five and a half
Q5.
The median of these data: 8.0, 2.2, 4.5, 8.9, 3.1, 3.4, 4.6, 8.2, 5.7 is .
Correct Answer: 4.6
Q6.
A large data set has 455 values. The median is the th data value when the data is in order of size.
Correct Answer: 228

6 Questions

Q1.
A measure of central tendency is a summary measure that attempts to describe a whole set of data with a value that represents the middle or centre of its distribution.
Correct Answer: single
Q2.
An ordered data has 4751 pieces of data. The median is in the th position.
Correct Answer: 2376, 2,376, 2 376
Q3.
An estate agent records how many bedrooms each house has on their sales list. The number of houses with 2 bedrooms or fewer is .
An image in a quiz
Correct Answer: 31, thirty one, thirty-one
Q4.
A football coach records the number of goals scored in the last 45 matches. What is the median number of goals scored?
An image in a quiz
0
1
2
Correct answer: 3
4
Q5.
The median will __________ be in the middle bar on a bar chart.
always
Correct answer: sometimes
never
Q6.
Jun records how long it takes him to get to school each day for a week. Jun's results are shown on the line graph. Jun's median journey time is minutes.
An image in a quiz
Correct Answer: 28