Frequency Distributions and Their Graphs

What is the difference between relative frequency and cumulative frequency?

• Relative frequency of a class is the proportion of the data in that class, while cumulative frequency of a class is the number of observations in that class.

• Relative frequency of a class is the percentage of the data that falls in that class, while cumulative frequency of a class is the sum of the frequencies of that class and all previous classes.

• Relative frequency of a class is the number of observations in that class, while cumulative frequency of a class is the sum of all the frequencies.

• There is no difference between the two.

What is the difference between a frequency polygon and an ogive?

• A frequency polygon displays class frequencies while an ogive displays cumulative frequencies

• A frequency polygon is a line graph while an ogive is a histogram

• It is easier to find patterns in the data from a frequency polygon than an ogive.

• There is no difference between a frequency polygon and an ogive.

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.

minimum = 8, maximum = 72, 6 classes

The class width is _______ . Choose the correct lower class limits below.

• Class width = 11

  19, 29, 41, 52, 63, 73

• Class width = 11

  18, 29, 41, 51, 62, 73

• Class width = 11

  8, 19, 30, 41, 52, 63

• Class width = 11

  8, 18, 30, 40, 51, 63

Use the given minimum and maximum data entries, and the number of classes, to find the class width, the lower class limits, and the upper class limits.

minimum = 8, maximum = 72, 6 classes

Choose the correct upper class limits below.

• 19, 30, 40, 51, 63, 73

• 18, 29, 41, 52, 62, 73

• 19, 30, 41, 52, 63, 73

• 18, 29, 40, 51, 62, 73

Use the frequency histogram to answer each question.

Determine the number of classes.

• 7

• 6

• 8

• 5

Use the frequency histogram to answer each question.

Estimate the frequency of the class with the least frequency.

• 48

• 82

• 25

• 72

Use the frequency histogram to answer each question.

Estimate the frequency of the class with the greatest frequency.

• 280

• 200

• 42

• 52

Use the ogive to approximate the number in the sample.

• 50

• 275

• 300

• 35

Use the ogive to approximate the correct location of the greatest increase in frequency.

• 22.5-23.5 pounds

• 32.5-33.5 pounds

• 26.5-27.5 pounds

• 19.5-20.5 pounds

Use the relative frequency histogram below to complete each part.

What are the boundaries of the class with the greatest relative frequency?

• 18.5-19.5 minutes

• 20-21 minutes

• 35-40%

• 19-21 minutes