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02 - Cumulative Frequency Distribution - More than type Ogive - Statistics - Class 10 - Maths Video Lecture
FAQs on 02 - Cumulative Frequency Distribution - More than type Ogive - Statistics - Class 10 - Maths Video Lecture
| 1. What is a cumulative frequency distribution? |  |
Ans. A cumulative frequency distribution is a statistical representation that shows the total number of observations or data points that fall below a certain value or within a certain range. It helps in understanding the overall distribution of data and can be presented in the form of a table or a graph.
| 2. What is the purpose of a more than type Ogive in statistics? | |
Ans. A more than type Ogive is used in statistics to represent cumulative frequency distribution in the form of a graph. It shows the cumulative frequencies of values that are greater than or equal to a certain value. This type of Ogive is helpful in analyzing the distribution of data and identifying the median, quartiles, and other percentiles.
| 3. How is a cumulative frequency distribution constructed? | |
Ans. To construct a cumulative frequency distribution, follow these steps:
1. Arrange the data in ascending order.
2. Create a frequency table with columns for the data values and their respective frequencies.
3. Add a column for cumulative frequencies, starting with the frequency of the first value.
4. Calculate the cumulative frequencies by adding up the frequencies as you move down the table.
5. Optionally, create a cumulative frequency graph, such as an Ogive, to visualize the distribution.
| 4. How can a cumulative frequency distribution be used to find the median? | |
Ans. To find the median using a cumulative frequency distribution, follow these steps:
1. Identify the total number of observations, denoted by 'n'.
2. Locate the cumulative frequency just greater than or equal to n/2.
3. The corresponding data value is the median.
For example, if the cumulative frequency just greater than or equal to n/2 is 28 and the corresponding data value is 15, then 15 is the median.
| 5. What is the difference between a frequency distribution and a cumulative frequency distribution? | |
Ans. The main difference between a frequency distribution and a cumulative frequency distribution is the way they represent data. In a frequency distribution, the data values are grouped into categories or intervals, and the frequency of each category is recorded. On the other hand, a cumulative frequency distribution presents the total number of observations that fall below a certain value or within a certain range.
While a frequency distribution provides information about the frequency of individual data points, a cumulative frequency distribution gives a cumulative view of the data, showing how many observations are below a given value.
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Dec 23, 2024 Last updated |
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