Create a histogram with five intervals from this data set: 21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34

The histogram and data are shown in the figures below

Answer with explanation:

The variate in Data set are:

    21, 37, 56, 87, 32, 45, 77, 71, 65, 67, 21, 34

Arranging the variate in Ascending order

21, 21, 32,34,37,45,56,65,67,71,77,87

Now, We have to make five Intervals in which we have to place this data

Class Interval            Variate of Data set                     Frequency

 20-35                        21,21,32,34                                  ||||=4

 35-50                          37,45,56,                                   |||=3

50-65                             0                                                  0

65-80                             65,67,71,77                               ||||=4

80-95                             87                                             |=1

Now drawing the Histogram for the given variate by making five intervals