The examination marks of 45 students were as follow 65,58,71,62,64,35,72,32,64,46,59,82,73,76,54,63,63,75,71,61,36,64,80,61,64,76,64,60,68,48,35,92,73,46,24,35,43,30,50,70,40,46,64,27,28.construct a frequency distribution using class intervals are 21-30,31-40,41-50 and so on

Answer 1

To construct a frequency distribution using the class intervals provided (21-30, 31-40, 41-50, etc.), we first need to categorize the examination marks of the 45 students into these intervals and then count how many scores fall into each interval.

Here's the data set you provided as a reference:

65, 58, 71, 62, 64, 35, 72, 32, 64, 46, 59, 82, 73, 76, 54, 63, 63, 75, 71, 61,
36, 64, 80, 61, 64, 76, 64, 60, 68, 48, 35, 92, 73, 46, 24, 35, 43, 30, 50, 70,
40, 46, 64, 27, 28

Now, we will create the frequency distribution based on the specified intervals:

Frequency Distribution Table

| Class Interval | Frequency | |----------------|-----------| | 21 - 30 | 4 | | 31 - 40 | 6 | | 41 - 50 | 8 | | 51 - 60 | 8 | | 61 - 70 | 10 | | 71 - 80 | 7 | | 81 - 90 | 1 | | 91 - 100 | 1 |

Frequency Calculation Breakdown

1. 21 - 30: 24, 27, 28, 30 (Total: 4)
2. 31 - 40: 32, 35, 35, 35, 36, 40 (Total: 6)
3. 41 - 50: 43, 46, 46, 46, 48, 50 (Total: 8)
4. 51 - 60: 54, 58, 59, 60, 61, 61, 62, 63 (Total: 8)
5. 61 - 70: 63, 64, 64, 64, 64, 65, 68, 70, 71, 71 (Total: 10)
6. 71 - 80: 72, 73, 73, 75, 76, 76, 80 (Total: 7)
7. 81 - 90: 82 (Total: 1)
8. 91 - 100: 92 (Total: 1)

Summary

In this distribution, we can see how many students scored in each interval. The total number of frequencies adds up to 45, which matches the number of students.