Frequency and Histograms

Which of the following statements corresponds to a frequency distribution?

• a table that shows the number of times a data entry appears in a data set.

• a data set that shows the number of data entries that appear in a time.

• a conclusion drawn from a sample.

• the boundaries between two consecutive bars.

Observe the frequency distribution:

How many classes are there?

• 6

• 30

• 1-5

• 1-30

Observe the frequency distribution:

What is the midpoint of the first class?

• 4

• 5

• 1

• 3

Observe the frequency distribution:

What is the class boundary between the second and third class?

• 10

• 11

• 10.5

• 6

Observe the frequency distribution:

What is the relative frequency of the first class?

• 0.139 or 13.9%

• 0.5 or 5%

• 1-5

• 5

Observe the frequency distribution:

What is the cumulative frequency of the third class?

• f_{1 +} f₂ + f₃ = 5 + 8 + 6 = 19

• f_{1 +} f₂ + f₃ = 5 + 6 + 10 = 21

• f_{1 +} f₂ + f₃ = 1 + 6 + 11 = 18

Observe the frequency distribution:

Estimate the class width.

• 11

• 10

• 25

• 19.5

Observe the frequency distribution:

Estimate the first class boundary (the "lower" class boundary of the first class).

• 19.5

• 20

• 25

• 20.5

Observe the frequency distribution:

Estimate the relative frequency of the fourth class.

• 69

• 5.3

• 0.189 or 18.9%

• 0.54 or 54%

Observe the frequency distribution:

Estimate the midpoint of the seventh class.

• 86

• 91

• 96

• 96.5

• 85.5