Introduction to Cumulative Frequency and Less Than Type Ogive Graphs

The video tutorial introduces cumulative frequency and its graphical representation, the ogive. It focuses on the less than type ogive, using an example of workers' daily income to explain grouped data and frequency distribution. The tutorial demonstrates how to calculate cumulative frequency, plot it on a graph, and find the median using the graph. The session concludes with a summary of the less than type method.

What is the graphical representation of a cumulative frequency called?

• Ogive

• Bar Chart

• Pie Chart

• Histogram

In the example provided, what is the class size of the income groups?

• 30

• 20

• 40

• 10

What does the cumulative frequency represent?

• The average frequency

• The total number of data points

• The difference between frequencies

• The running total of frequencies

Why is the 'less than' type ogive named so?

• It uses the lower limit of classes

• It uses the upper limit of classes

• It uses the average of class limits

• It uses the midpoint of classes

On which axis is the cumulative frequency plotted in a graph?

• X-axis

• Z-axis

• Y-axis

• None of the above

What is the scale set for the x-axis in the graph?

• 1 cm = 10 rupees

• 1 cm = 5 rupees

• 1 cm = 20 rupees

• 1 cm = 15 rupees

What characteristic does the curve of a less than type ogive have?

• Decreasing

• Constant

• Increasing

• Fluctuating

How is the median found from the ogive graph?

• By finding the highest point on the curve

• By finding the lowest point on the curve

• By drawing a line from n/2 on the y-axis to the curve and then to the x-axis

• By calculating the average of all data points

What is the median of the data in the example provided?

• 120

• 137.5

• 160

• 150

What is the first step in the less than type method?

• Find the median

• Plot the graph

• Identify the upper limits

• Calculate the total frequency