Range and Median in Data Sets

This lesson covers the concept of box and whisker plots, starting with an introduction to the topic and moving on to plotting scores and finding the median. It explains the first and third quartiles and demonstrates how to construct a box and whisker plot. The lesson includes an example problem and concludes with an analysis of a given box and whisker plot.

What is the first step in creating a box and whisker plot?

• Listing the data in order

• Drawing the box

• Identifying the range

• Plotting the median

What is the range of the scores if the lowest score is 56 and the highest score is 96?

• 50

• 70

• 40

• 60

How do you find the median in a set of 30 numbers?

• Choose the 15th number

• Choose the 16th number

• Average the 14th and 15th numbers

• Average the 15th and 16th numbers

What is the first quartile in a data set?

• The average of the highest and lowest scores

• The median of the entire data set

• The median of the upper half of the data

• The median of the lower half of the data

What does the box in a box and whisker plot represent?

• The median

• The interquartile range

• The mode

• The range of the data

In the example problem, what is the median of the data set 18, 19, 21, 23, 24, 25, 27, 28, 29, 31, 33, 35?

• 27

• 26

• 24

• 25

What is the third quartile in the example problem with scores ranging from 18 to 35?

• 29

• 30

• 31

• 32

In the second example problem, what is the range of the scores if the lowest score is 55 and the highest score is 100?

• 50

• 60

• 45

• 55

What is the median score in the second example problem?

• 90

• 85

• 80

• 75

Why can't the mode be determined in the second example problem?

• The scores are not listed

• The range is too large

• The data is incomplete

• The median is not given