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9. Construct the box plot for the variable Miles I, Copy and paste it here. [Gra

ID: 3070046 • Letter: 9

Question

9. Construct the box plot for the variable Miles I, Copy and paste it here. [Graph, Boxplot, Select Column, Check Use fences to identify outliers and Draw boxes horizontally compute.] To copy and paste the graph: Click on 'Options', Copy, Right-click , Copy Image. Move cursor to your Word File: Ctrl+Alt+V, Choose Device Independent Bitmap, OK to paste the image 9a) Based on the box plot, what is the shape of the distribution of the Miles 1? 9b) Is there any outliers based on this boxplot? 10. Construct a box plot of the variable Miles_I for male and female, separately, on the same graph in different panels and paste them here. Based on the box plots and the dot plots, describe the distributions of Miles 1 for Female and Male, respectively Graph, Boxplot, Select Column, Group by Gender, Check Use fences to identify outliers and Draw boxes horizontally, Rows per page: 2, check 'Use same X-axis, compute ] To copy and paste the graph: Click on Options', Copy, Right-click, Copy Image. Move cursor to your Word File: Curl+Alt+V, Choose Device Independent Bitmap, OK to paste the image

Explanation / Answer

Answer:

9a).

The distribution is negatively skewed.

Median cuts the box into two unequal pieces. If the longer part of the box is to the right (or above) the median, the data is said to be skewed right. If the longer part is to the left (or below) the median, the data is skewed left.

In our data plot, longer part of the box is to the left of the median.

9b).

Yes, there are outliers.

In a boxplot, an outlier is defined as a data point that is located outside the fences (“whiskers”) of the boxplot ( outside 1.5 times the interquartile range above the upper quartile and bellow the lower quartile).

In our plot there are 4 data points right of whisker.