Constructing Frequency Distribution

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.

What is the lower boundary of the class with the least frequency?

• 21.5

• 40

• 16.5

• 35

Use the frequency histogram to answer each question.

Estimate the frequency of the class with the greatest frequency.

• 280

• 41.5

• 230

• 35

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

Use the relative frequency histogram below to complete each part.

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

• 21.5 − 22.5 minutes

• 22 − 23 minutes

• 2 − 3%

• 21 − 22 minutes

This is the interval between two consecutive upper (or lower) class limits.

• class width

• class boundaries

• midpoints

• frequency

These are used as the border between two consecutive bars in a histogram. They are the intermediate value between an upper class limit and the next lower class limit.

• class limits

• class boundaries

• frequencies

• class marks

How do you calculate the class width if you have a data set with a range of 70 and you are asked to construct a 6 class frequency distribution?

• Divide the range by 6 and round it up.

• I divide 6/70=0.875, I round it up to 9; the class width is 9.

• I choose a class width of 10 because it looks fine.

• As there are 70 entries, each class width is 6.