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Answer :
The interquartile range is 16.00
To construct a box and whisker plot in Excel using the Quartile.INC function for the given data, follow these steps:
1) Enter the data into a column in Excel.
2) Select the data column and click on the "Insert" tab in the top menu.
3) Click on "Insert Statistic Chart" and select "Box and Whisker" from the dropdown menu.
4) In the "Chart Elements" menu on the right, click on the arrow next to "Axis Titles" and select "Primary Vertical Axis Title" to add a title for the y-axis.
5) Label the y-axis "Number of Rooms Sold".
6) Right-click on the y-axis and select "Format Axis" from the dropdown menu.
7) In the "Number" menu, select "Number" as the category and set the number of decimal places to 0.
8) In the "Chart Elements" menu, click on the arrow next to "Chart Title" and select "None" to remove the chart title.
9) The resulting box and whisker plot should show the quartiles, the median, and any outliers.
To find the interquartile range, subtract the first quartile (Q1) from the third quartile (Q3). The Quartile.INC function in Excel returns the exclusive quartiles (i.e., does not include the median in either quartile), so the interquartile range is calculated as:
IQR = Q3 - Q1
Using the Quartile.INC function with the given data, we get:
Q1 = 78.5
Q3 = 94.5
Therefore, the interquartile range is
IQR = Q3 - Q1 = 94.5 - 78.5 = 16
Rounding to two decimal places, the interquartile range is 16.00.
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