Concept explainers
The box-and-whisker plot for the given data.
Answer to Problem 5Q
The distribution is skewed right.
Explanation of Solution
Given:
The given data set is:
60,15,25,20,55,70,40,30
Calculation:
To draw the box-and-whisker plot for the given data:
Step 1: Arrange the data in ascending order. Calculate median and quartiles.
Smallest value = 15
Largest value = 70
Lower half = 15, 20, 25, 30
Upper half = 40, 55, 60, 70
Median =
Quartiles:
Step 2: Draw a number line with the smallest and largest value. Graph the points above the number line for 5-number summary.
Step 3: Finally, draw a box with Q1 and Q3. Make a line through the median value. Also, make a whisker from the box to the smallest and the largest values.
Looking at the box-and-whisker plot, majority of the data is on the left side of the plot. The right whisker extends more than the left whisker. Hence, the distribution is skewed right.
Chapter 7 Solutions
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