Question

in the last 40 golf tournaments, a pro golfer played in all 160 daily matches. On Thursday, February 22nd he shot an 84 but on April 28^th, a Saturday in North Carolina the same golfer shot a low score of 60. How many cells should be calculated for a histogram.

Answer 1

When constructing a histogram it is important to choose an appropriate number of Cell Intervals. As a rule of thumb, the number of cell intervals “K” can be chosen to equal the smallest whole number that makes 2 ^k greater than the total number of measurements (n).

i.e. 2 ^k > n

  Your interval length can then be computed to be (largest value – smallest value) divided by K.

Given

maximum value = 84

minimum value = 60

Number of observations (n) = 160

To find the number of cell intervals to use, we would choose the value of K that makes 2 ^k just greater than n = 160.

2 ^k > 160

2 ⁷=128

2 ⁸=256

Thus K would equal 8 (since 2 ⁸ > 160).

And the width of our cell intervals is approximately

= 3

For the question above , the number of cells that should be calculated for a histogram is 8