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Measure and create a box and whiskers plot for the following set of data:2,5,5,5,6,7,8,8,9,10,11,13,15,16

Sagot :

The plot contains the minimum, first quartile, median, third quartile and maximum values.

From the set of values,

minimum = lowest value = 2

maximum = highest value = 16

Median number is the middle number. Snce the two numbers in the middle are 8, the median is the average. Thus,

Median number = (8 + 8)/2 = 16/8 = 2

First quartile = (n + 1)/4 = (14 + 1)/4 = 3.75

It is the 3.75th term. It is also the median of the lower halve of the data set

First quartile, Q1 =

Third quartile = 3(n + 1)/4 = 3(14 + 1)/4 = 11.25

It is the 11.25th term. It is also the median of the upper halve of the data set

Third quartile, Q1 = 11

The box and whiskers plot is shown below

View image BraxonB489586
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