if cI are 0-8 8-16 16-24 24-32 32-40 40-48 and frequency are 8 15 31 55 70 77 Related: 01 - Cumulative Frequency Distribution - Less than type Ogive - Statistics - Class 10 - Maths?

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if cI are 0-8 8-16 16-24 24-32 32-40 40-48 and frequency are 8 15 31 55 70 77 Related:  01 - Cumulative Frequency Distribution - Less than type Ogive - Statistics - Class 10 - Maths?

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Answer

01 - Cumulative Frequency Distribution - Less than type Ogive - Statistics - Class 10 - Maths

In statistics, a cumulative frequency distribution is a way to represent the total frequency of values that are less than or equal to a certain value. This type of distribution is commonly used to analyze data and draw meaningful conclusions. In this explanation, we will focus on the less than type Ogive method of constructing a cumulative frequency distribution.

1. Understanding the given data

The given data consists of class intervals and their corresponding frequencies. The class intervals are 0-8, 8-16, 16-24, 24-32, 32-40, and 40-48, and the frequencies are 8, 15, 31, 55, 70, and 77 respectively. These class intervals represent different ranges of values, and the frequencies indicate the number of data points falling within each range.

2. Constructing a cumulative frequency distribution table

To construct a cumulative frequency distribution table, we need to calculate the cumulative frequencies for each class interval. The cumulative frequency for a particular class interval is the sum of the frequencies of that interval and all the intervals that come before it.

Class Interval	Frequency	Cumulative Frequency
0-8	8	8
8-16	15	23
16-24	31	54
24-32	55	109
32-40	70	179
40-48	77	256

3. Drawing a less than type Ogive

A less than type Ogive is a graphical representation of the cumulative frequency distribution. It helps us visualize the cumulative frequencies and the corresponding class intervals. To draw a less than type Ogive, we plot the cumulative frequencies on the y-axis and the upper class boundaries on the x-axis.

For the given data, the upper class boundaries are 8, 16, 24, 32, 40, and 48. We plot the cumulative frequencies (8, 23, 54, 109, 179, and 256) against these upper class boundaries and join the points to form a smooth curve.

The less than type Ogive provides a visual representation of how the cumulative frequencies increase as we move along the

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