Construct the cumulative frequency distribution for the given data.
Age_(years)_of_Best_Actress_when_award_was_won	Frequency

20-29	28

30-39	33

40-49	14

50-59	3

60-69	4

70-79	2

80-89	2

To construct a **cumulative frequency distribution**, we calculate the cumulative total for each class, which is the sum of all frequencies up to and including that class.

### Steps:
1. Start with the first frequency.
2. Add each subsequent frequency to the cumulative total of the previous class.

| Age (Years) | Frequency | Cumulative Frequency |
|-------------|-----------|----------------------|
| 20-29       | 28        | 28                   |
| 30-39       | 33        | 28 + 33 = 61         |
| 40-49       | 14        | 61 + 14 = 75         |
| 50-59       | 3         | 75 + 3 = 78          |
| 60-69       | 4         | 78 + 4 = 82          |
| 70-79       | 2         | 82 + 2 = 84          |
| 80-89       | 2         | 84 + 2 = 86          |

### Cumulative Frequency Distribution:
| Age (Years) | Cumulative Frequency |
|-------------|----------------------|
| 20-29       | 28                   |
| 30-39       | 61                   |
| 40-49       | 75                   |
| 50-59       | 78                   |
| 60-69       | 82                   |
| 70-79       | 84                   |
| 80-89       | 86                   |

The cumulative frequency in the last class is 86, which represents the total number of observations.

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Do you want more details on cumulative frequency or have any questions? Here are 5 related questions to expand your understanding:

1. How would you plot a cumulative frequency graph based on this data?
2. What is the difference between cumulative frequency and relative cumulative frequency?
3. How can cumulative frequency help in determining the median of the dataset?
4. What is the significance of the cumulative frequency in analyzing age distributions?
5. How would you calculate cumulative frequency for continuous data intervals?

**Tip:** Cumulative frequency helps identify medians and percentiles, making it a useful tool in statistical analysis.

Construct the cumulative frequency distribution for the given data

Learn how to construct a cumulative frequency distribution for the age of Best Actress winners when they received the award. This example covers ages ranging from 20 to 89, with a detailed cumulative frequency table provided. Suitable for students in Grades 8-10 studying statistics.

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