Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98

10 bars ; width 10

Step-by-step explanation:

Reordering the data given :

2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98

To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;

Range = 98 - 2 = 96

By extending the width slightly on either side, we have 0, 100.

If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;

Now our range = 100 - 0 = 100

Width = 10

Number of bars = range / bar width

= 100 / 10

= 10 bars

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step-by-step explanation:

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