Question

Change the following distribution to a 'More than type' distribution. Hence, draw the more than type' ogive for this distribution.

Class – interval: 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70 – 80 80 – 90
Frequency: 10 8 12 24 6 25 15

Answer 1

Distribution to a 'More than type' distribution. Graph draw the more than type' give for this distribution.

To convert the given frequency distribution to a 'More than type' distribution and draw the 'more than type' ogive, follow these steps:

Calculate Cumulative Frequencies

Create a table to calculate the cumulative frequencies. The cumulative frequency is the sum of the frequencies up to and including the current class interval.

Class Interval Frequency Cumulative Frequency

20 – 30 10 10

30 – 40 8 18 (10 + 8)

40 – 50 12 30 (18 + 12)

50 – 60 24 54 (30 + 24)

60 – 70 6 60 (54 + 6)

70 – 80 25 85 (60 + 25)

80 – 90 15 100 (85 + 15)

Create the 'More than type' Distribution

The 'More than type' distribution is essentially the cumulative frequency of each class interval. We will use the upper class boundaries for this type of ogive.

Class Interval Cumulative Frequency

30 10

40 18

50 30

60 54

70 60

80 85

90 100

Step 3: Plot the 'More than type' Ogive

Now, you can use this information to plot the 'More than type' ogive. The x-axis will represent the upper class boundaries, and the y-axis will represent the cumulative frequencies.

Mark the points: For each class interval, plot a point at the upper class boundary against its cumulative frequency.

Connect the points: Connect these points using a line. The line starts from the leftmost point and goes to the right.

Origin Point: You may also add a point at the origin (0, 0) to complete the ogive.

Now, you have a graphical representation of the 'More than type' ogive for the given distribution.