The time taken, in seconds, to solve a problem by each of 25 pupiles is as follows:
16, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 53, 58, 59, 60, 64, 52, 20
(a) Construct a frequency distribution for these data, using a class interval of 10 seconds.
(b) Draw a histogram to represent the frequency distribution.
Answers
Arrange the given raw data into ascending order :
16, 20, 20, 26, 27, 28, 30, 33, 37, 38, 40, 42, 43, 46, 46, 46, 48, 49, 50, 52, 53, 58, 59, 60, 64
(a) A frequency distribution for the given data, using a class interval of 10 seconds is given below :
Class Interval Frequency
10-20 1
20-30 5
30-40 4
40-50 8
50-60 5
60-70 2
(b) A histogram to represent the frequency distribution is in the attachment below.
Extra information :
Histogram
Histogram is a graphical representation of a grouped frequency distribution in exclusive form with continuous classes in the form of rectangles with class intervals as bases and the corresponding frequencies as Heights.
There is no gap between any two consecutive rectangles.
In histogram we draw a kink.
Kink i.e. break is indicated near the origin to signify that a graph is drawn not at the origin.
If the first class interval is not starting from zero , then we show it on the graph by making a kink or a break on the axis.
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