Question

Draw a box-and-whisker plot for the following data set. Make sure to clearly label the range, median, upper quartile, and lower quartile. 17, 83, 14, 5, 55, 56, 61, 4, 92, 89​

Answer 1

Given data:

• 17, 83, 14, 5, 55, 56, 61, 4, 92, 89

Arrange the numbers in the ascending order:

• 4, 5, 14, 17, 55, 56, 61, 83, 89, 92

Identify the minimum and the maximum values:

• 4 and 92

Identify the median of the data set.

Since the number of data is even, the median is the average of the middle two numbers:

• (55 + 56)/2 = 55.5

Identify the medians of the lower and upper regions.

For the lower region, the median- the first quartile is 14, for the upper region, the median - the third quartile is 83

We have all required numbers:

• Minimum: 4
• First quartile: 14
• Median: 55.5
• Third quartile: 83
• Maximum: 92

Attached is the example of the plot, this may be horizontal or vertical