High School

We appreciate your visit to For the following distribution Class 10 15 15 20 20 25 25 30 30 35 Frequency 34 23 12 45 28 The sum of the. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

For the following distribution:

Class:
- 10-15
- 15-20
- 20-25
- 25-30
- 30-35

Frequency:
- 34
- 23
- 12
- 45
- 28

The sum of the upper limits of the median class and modal class is:

A. 50
B. 75
C. 25
D. 60

Answer :

Final answer:

The sum of upper limits of the median class and modal class is: d. 60

Explanation:

To find the sum of the upper limits of the median class and the modal class:

1. Modal Class: Identify the class with the highest frequency. In this case, it is the class 25-30 with a frequency of 45. The upper limit of this class is 30.

2. Median Class: To find the median class, calculate the cumulative frequencies. Arrange the data in ascending order and calculate cumulative frequencies.

- Cumulative Frequency:

- Class 10-15: 34

- Class 15-20: 34 + 23 = 57

- Class 20-25: 57 + 12 = 69

- Class 25-30: 69 + 45 = 114

- Class 30-35: 114 + 28 = 142

- Median Position: Median is the (N/2)th term. N is the total frequency, which is 142 in this case. So, [tex]\( \frac{N}{2} = \frac{142}{2} = 71 \)[/tex].

- The class corresponding to the cumulative frequency just greater than 71 is the median class, which is the class 25-30.

- The upper limit of the median class is 30.

3. Sum of Upper Limits: Add the upper limits of the modal class and the median class:

- Upper limit of the modal class = 30

- Upper limit of the median class = 30

- Sum = (30 + 30 = 60).

Thus, the sum of the upper limits of the median class and the modal class is 60. Hence, the correct option is d. 60.

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Rewritten by : Barada

Final answer:

The sum of the upper limits of the median class and modal class is 60.

So, the correct answer is option d.

Explanation:

The sum of upper limits of the median class and modal class:
Given the frequency distribution provided:
Class 10-15 with 34 frequency
15-20 with 23 frequency
20-25 with 12 frequency
25-30 with 45 frequency
30-35 with 28 frequency
The median class is 25-30 with a frequency of 45, and the modal class is also 25-30. Therefore, the sum of their upper limits (30 + 30) is 60.

So, the correct answer is option d.