Chapter 13
6, 7, 10, 12, 13, 4, 8, 12 2. First n natural numbers
First 10 multiples of 3
| x | i | 6 | 10 | 14 | 18 | 24 | 28 | 30 |
|---|---|---|---|---|---|---|---|---|
| f | i | 2 | 4 | 7 | 12 | 8 | 4 | 3 |
| x | i | 92 | 93 | 97 |
|---|
98 102 104 109
| f | i | 3 | 2 | 3 |
|---|
2 6 3 3
Find the mean and standard deviation using short-cut method.
| x | i | 60 | 61 | 62 | 63 | 64 | 65 | 66 | 67 | 68 |
|---|---|---|---|---|---|---|---|---|---|---|
| f | i | 2 | 1 | 12 | 29 | 25 | 12 | 10 | 4 | 5 |
Find the mean and variance for the following frequency distributions in Exercises 7 and 8.
Classes 0-30 30-60 60-90 90-120 120-150 150-180 180-210
| Frequencies | 2 | 3 |
|---|
5 10 3 5 2
Classes 0-10 10-20 20-30 30-40 40-50
| Frequencies | 5 | 8 | 15 |
|---|
16 6
Find the mean, variance and standard deviation using short-cut method Height 70-75 75-80 80-85 85-90 90-95 95-100 100-105105-110 110-115 in cms No. of 3 4 7 7 15 9 6 6 3 children
The diameters of circles (in mm) drawn in a design are given below: Diameters 33-36 37-40 41-44 45-48 49-52
| No. of circles | 15 | 17 | 21 | 22 | 25 |
|---|
Calculate the standard deviation and mean diameter of the circles. [ Hint First make the data continuous by making the classes as 32.5-36.5, 36.5-40.5, 40.5-44.5, 44.5 - 48.5, 48.5 - 52.5 and then proceed.]