Advertisements
Advertisements
Question
For a frequency distribution standard deviation is computed by applying the formula
Options
\[\sigma = \sqrt{\frac{\Sigma f d^2}{\Sigma f} - \left( \frac{\Sigma f d}{\Sigma f} \right)^2}\]
\[\sigma = \sqrt{\left( \frac{\Sigma f d}{\Sigma f} \right)^2 - \frac{\Sigma f d^2}{\Sigma f}}\]
\[\sigma = \sqrt{\frac{\Sigma f d^2}{\Sigma f} - \frac{\Sigma fd}{\Sigma f}}\]
\[\sqrt{\left( \frac{\Sigma fd}{\Sigma f} \right)^2 - \frac{\Sigma f d^2}{\Sigma f}}\]
Solution
\[\sigma = \sqrt{\frac{\Sigma f d^2}{\Sigma f} - \left( \frac{\Sigma f d}{\Sigma f} \right)^2}\]
APPEARS IN
RELATED QUESTIONS
From the prices of shares X and Y given below: find out which is more stable in value:
X: | 35 | 54 | 52 | 53 | 56 | 58 | 52 | 50 | 51 | 49 |
Y: | 108 | 107 | 105 | 105 | 106 | 107 | 104 | 103 | 104 | 101 |
Life of bulbs produced by two factories A and B are given below:
Length of life (in hours): |
550–650 | 650–750 | 750–850 | 850–950 | 950–1050 |
Factory A: (Number of bulbs) |
10 | 22 | 52 | 20 | 16 |
Factory B: (Number of bulbs) |
8 | 60 | 24 | 16 | 12 |
The bulbs of which factory are more consistent from the point of view of length of life?
Following are the marks obtained,out of 100 by two students Ravi and Hashina in 10 tests:
Ravi: | 25 | 50 | 45 | 30 | 70 | 42 | 36 | 48 | 35 | 60 |
Hashina: | 10 | 70 | 50 | 20 | 95 | 55 | 42 | 60 | 48 | 80 |
Who is more intelligent and who is more consistent?
If n = 10, \[X = 12\] and \[\Sigma x_i^2 = 1530\] , then the coefficient of variation is
The sum of the squares deviations for 10 observations taken from their mean 50 is 250. The coefficient of variation is
If for a sample of size 60, we have the following information \[\sum_{} x_i^2 = 18000\] and \[ \sum_{} x_i = 960 \] , then the variance is
Consider the first 10 positive integers. If we multiply each number by −1 and then add 1 to each number, the variance of the numbers so obtained is
Consider the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. If 1 is added to each number, the variance of the numbers so obtained is
The standard deviation of some temperature data in °C is 5. If the data were converted into ºF, the variance would be ______.
Coefficient of variation = `.../"Mean" xx 100`
The mean deviation of the data is ______ when measured from the median.