Here, we shall deal with the variance of a grouped or continuous frequency distribution, which is explained using examples. Numerous solved examples are provided here in this exercise to help students understand the method of solving problems using shortcut techniques. Students can boost their exam preparation by solving textbook problems using the solutions created by the subject experts. These solutions are explained in simple language, keeping in mind the intelligence quotient of students. Students can access RD Sharma Class 11 Maths Solutions and download the PDF from the below links.
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EXERCISE 32.6 PAGE NO: 32.41
1. Calculate the mean and S.D. for the following data:
| Expenditure (in ₹): | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency: | 14 | 13 | 27 | 21 | 15 |
Solution:
2. Calculate the standard deviation for the following data:
| Class: | 0-30 | 30-60 | 60-90 | 90-120 | 120-150 | 150-180 | 180-210 |
| Frequency: | 9 | 17 | 43 | 82 | 81 | 44 | 24 |
Solution:
3. Calculate the A.M. and S.D. for the following distribution:
| Class: | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| Frequency: | 18 | 16 | 15 | 12 | 10 | 5 | 2 | 1 |
Solution:
4. A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later found that one observation was wrongly copied as 50, the correct figure is 40. Find the correct mean and S.D.
Solution:
5. Calculate the mean, median and standard deviation of the following distribution
| Class-interval | 31-35 | 36-40 | 41-45 | 46-50 | 51-55 | 56-60 | 61-65 | 66-70 |
| Frequency: | 2 | 3 | 8 | 12 | 16 | 5 | 2 | 3 |
Solution:
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