New
New
Year 11
•
Higher
Histograms with equal bar width
I can construct bar charts for continuous data.
New
New
Year 11
•
Higher
Histograms with equal bar width
I can construct bar charts for continuous data.
Lesson details
Key learning points
- A histogram is a bar chart for continuous data
- The bars are adjacent due to the nature of the data
- The bars are all the same width to allow easier comparisons
Keywords
Histogram - A histogram is a diagram consisting of rectangles whose area is proportional to the frequency in each class and whose width is equal to the class interval.
Common misconception
Histograms with unequal bar widths are plotted against the frequency and/or pupils read the frequency density as the frequency of the class width.
Show what a histogram with unequal bar widths looks like when plotted against frequency. This visual aid will show pupils the distribution of data is difficult to see.
Statistics can be fun. Collecting data and representing it according to the objective of the lesson. A fun task is to collect the time it takes pupils to say the alphabet. Collect all the times using peer groups and represent in a histogram with equal class widths. Challenge - reverse alphabet.
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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Starter quiz
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6 Questions
Q1.
The of the box on a box plot represents the interquartile range.
Correct Answer: width, length
width, length
Q2.
What is the interquartile range of the data represented on this box plot?
Correct Answer: 19 cm, 19
19 cm, 19
Q3.
Calculate the interquartile range from this cumulative frequency graph.
Correct Answer: 6
6
Q4.
What is the interquartile range of this set of data? 17, 13, 19, 21, 13, 14, 19.
Correct Answer: 6
6
Q5.
This table shows information about the heights of some year 7 and 11 pupils. Compare their heights by selecting the most useful response.
The Y11 median and interquartile range are both higher than Y7.
The Y11 median was higher, but the interquartile range is lower than Y7.
Correct answer: On average, Y11 are taller and their heights are more consistent.
On average, Y11 are taller and their heights are more consistent.
On average, Y11 are taller and their heights are less consistent.
Q6.
This table shows information about the times some children and adults take to complete a puzzle. Compare their times by selecting the most useful response.
The adults' median was lower and their interquartile range was higher.
Correct answer: On average the adults did better but their times are less consistent.
On average the adults did better but their times are less consistent.
The children's median was better and their interquartile range was lower.
On average the adults did better and their times are more consistent.
On average the children did better and their times are less consistent.
Exit quiz
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6 Questions
Q1.
Select the examples of continuous data.
50 people were asked how many books they read a week.
Correct answer: 50 people were asked how many minutes it takes them to get to work/school.
50 people were asked how many minutes it takes them to get to work/school.
50 people were asked what their favourite fruit is.
Correct answer: 50 pieces of fruit were weighed.
50 pieces of fruit were weighed.
Q2.
When constructing a histogram with equal bar widths, select which of the following are important points to remember.
Correct answer: Axis scale increasing equally.
Axis scale increasing equally.
Correct answer: Equal bar width with the $$y$$ axis labelled frequency.
Equal bar width with the $$y$$ axis labelled frequency.
Equal gap widths between each bar.
The $$x$$ and $$y$$ axis must have the same scale.
Q3.
Here is a table showing how long people watched TV for in a week. Select the correct statements which match this table.
Correct answer: 12 people spent between 4 and 5 hours watching TV.
12 people spent between 4 and 5 hours watching TV.
12 people spent between 0 and 1 hour watching TV.
Correct answer: 22 people spent between 1 and 3 hours watching TV.
22 people spent between 1 and 3 hours watching TV.
28 people spent between 3 and 5 hours watching TV.
Q4.
Here is a histogram showing times taken to complete an IQ test. Select the correct statements which match this chart.
Correct answer: It took 5 people between 0 and 2 minutes to complete the IQ test.
It took 5 people between 0 and 2 minutes to complete the IQ test.
Correct answer: It took 7 people between 4 and 6 minutes to complete the IQ test.
It took 7 people between 4 and 6 minutes to complete the IQ test.
It took 23 people between 4 and 10 minutes to complete the IQ test.
It took 2 people between 18 and 20 minutes to complete the IQ test.
Correct answer: 50 people took the IQ test.
50 people took the IQ test.
Q5.
Here is a histogram showing the times people played a game until they first lost a life. What percentage of people played for 20 seconds or fewer?
Correct Answer: 40%, 40
40%, 40
Q6.
Here is a histogram showing the times people played a game until they first lost a life.
Correct Answer:20,Total number of people who took part
20 -
Total number of people who took part
Correct Answer:2,Number of people who lost a life within 10 seconds of starting
2 -
Number of people who lost a life within 10 seconds of starting
Correct Answer:8,Number of people who played for more than half a minute
8 -
Number of people who played for more than half a minute
Correct Answer:19,The number of people who lost a life within 40 seconds of starting
19 -
The number of people who lost a life within 40 seconds of starting
Correct Answer:95,Percentage of people who lost a life within 40 seconds of playing
95 -
Percentage of people who lost a life within 40 seconds of playing