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Answer:
Box-plot = {54, 65, 69, 73, 76}
Step-by-step explanation:
The data provided for the number of desks on each floor of Texter Corporate is as follows:
S = {54, 60, 65, 66, 67, 69, 70, 72, 73, 75, 76}
There are a total of <em>n</em> = 11 floors.
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
- Minimum (shown at the bottom of the chart)
- First Quartile (shown by the bottom line of the box)
- Median (or the second quartile) (shown as a line in the center of the box)
- Third Quartile (shown by the top line of the box)
- Maximum (shown at the top of the chart).
Arrange the data in ascending order as follows:
S': = {54 , 60 , 65 , 66 , 67 , 69 , 70 , 72 , 73 , 75 , 76}
The minimum value is:
Minimum = 54
The maximum value is:
Maximum = 76
As there are odd number of values the median is the middle value.
Median = 6th value = 69
The first quartile is the median of the first half of the data.
S'₁ = {54 , 60 , 65 , 66 , 67}
First quartile = 3rd value = 65
The third quartile is the median of the second half of the data.
S'₂ = {70 , 72 , 73 , 75 , 76}
Third quartile = 3rd value = 73
Thus, summarized data for the box plot is:
Box-plot = {54, 65, 69, 73, 76}
The box plot is attached below.
