Aim: How do we construct a

cumulative frequency table/histogram?

To create a Cumulative Frequency Table we must:

• Construct a Frequency table (intervals)• Extend the Table to include a cumulative

frequency column• The C. Freq. Column is calculated by

starting from the bottom and adding each Freq. to the C. Frequency recorded on the previous row.

Frequency Table

Interval Frequency Cumulative Frequency

91-100 50 81-90 60 71-80 60 61-70 20 51-60 10

10

90

150

200

30

To create a Cumulative Frequency Histogram:

• Construct a Cumulative Frequency table • Draw/Label the Horizontal Axis (intervals)• Draw/Label the Vertical Axis “Cumulative

Frequency” • Graph the Bars (No Gaps)• Last bar should contain the total frequency• Title the Graph …..The words “cumulative frequency” should appear in the title.

Horizontal axis (left to right)

• Label the horizontal axis with the appropriate intervals.

• Name the axis ……Test scores • If the Intervals do not begin at 0

use a “break” symbol on the axis

51-60 51-70 51-80 51-90 51-100

Test Scores (Intervals)

Vertical Axis (up and down)• Begin at zero

• Number the Vertical Axis.• Label the axis “Cumulative Frequency”

Cum

ulat

ive

Fre

quen

cy

Test Scores(Interval)

150

100

50

0

Cumulative Test Scores Period 6

0

50

100

150

200

250

Test Scores (Intervals)

Cum

ulat

ive

Fre

quen

cy

51-6051-7051-8051-9051-100

Graph it….(no gaps= no gaps)

51-60 51-70 51-80 51-90 51-100

Cumulative Test Scores Period 6

0

50

100

150

200

250

Test Scores (Intervals)

Cum

ulat

ive

Fre

quen

cy

51-6051-7051-8051-9051-100

Graph it….(no gaps= no gaps)

51-60 51-70 51-80 51-90 51-100