Problem solving with cumulative frequency and histograms
I can use my knowledge of cumulative frequency and histograms to solve problems.
Problem solving with cumulative frequency and histograms
I can use my knowledge of cumulative frequency and histograms to solve problems.
Lesson details
Key learning points
- Different representations of the same data set give a fuller picture
- It is important to identify what features are used to analyse a data set
- It is important to identify what features are used to compare two data sets
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.
Keywords
Box plot - A box plot is a diagram that clearly shows the minimum and maximum value of a data set long with the three quartiles.
Lower quartile - The lower quartile is the value under which 25% of data points are found when they are arranged in increasing order. Also known as the first quartile (Q1).
Upper quartile - The upper quartile is the value under which 75% of data points are found when they are arranged in increasing order. Also known as the third quartile (Q3).
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.
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).
Video
Loading...
Starter quiz
6 Questions
$$0 < t \leq 10$$ -
Frequency = 4
$$10 < t \leq 15$$ -
Frequency = 8
$$15 < t \leq 20$$ -
Frequency = 20
$$20 < t \leq 30$$ -
Frequency = 16
$$30 < t\leq 50$$ -
Frequency = 5
$$0 < t\leq 2$$ -
10
$$2 < t \leq 4$$ -
12
$$4 < t \leq 5$$ -
15
$$5 < t\leq 10$$ -
14
$$10 < t \leq 12$$ -
5
Exit quiz
6 Questions
A boxplot -
a diagram that clearly shows the min and max values and the quartiles
A histogram -
a diagram with rectangles whose area is proportional to the frequency
Lower quartile -
the value under which 25% of data points are found
Upper quartile -
the value under which 75% of data points are foun
Class C -
has the most consistent scores as the IQR and range is the smallest
Class B -
is on average the lowest performing class
Class A and B -
have the same IQR and range
Class A and C -
have on average the higher performing students