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Coefficient of variation of two distributions are 60% and 70% and their standard deviations are 21 and 16 respectively. What are their arithmetic means?
Concept: undefined >> undefined
The mean and standard deviation of marks obtained by 50 students of a class in three subjects, mathematics, physics and chemistry are given below:
| Subject | Mathematics | Physics | Chemistry |
| Mean | 42 | 32 | 40.9 |
| Standard Deviation | 12 | 15 | 20 |
Which of the three subjects shows the highest variability in marks and which shows the lowest?
Concept: undefined >> undefined
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From the data given below state which group is more variable, G1 or G2?
| Marks | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| Group G1 | 9 | 17 | 32 | 33 | 40 | 10 | 9 |
| Group G2 | 10 | 20 | 30 | 25 | 43 | 15 | 7 |
Concept: undefined >> undefined
Find the coefficient of variation for the following data:
| Size (in cms): | 10-15 | 15-20 | 20-25 | 25-30 | 30-35 | 35-40 |
| No. of items: | 2 | 8 | 20 | 35 | 20 | 15 |
Concept: undefined >> undefined
If the sum of the squares of deviations for 10 observations taken from their mean is 2.5, then write the value of standard deviation.
Concept: undefined >> undefined
If X and Y are two variates connected by the relation
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In a series of 20 observations, 10 observations are each equal to k and each of the remaining half is equal to − k. If the standard deviation of the observations is 2, then write the value of k.
Concept: undefined >> undefined
If each observation of a raw data whose standard deviation is σ is multiplied by a, then write the S.D. of the new set of observations.
Concept: undefined >> undefined
If v is the variance and σ is the standard deviation, then
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\[\lim_{x \to 0} \frac{e^{2x} - e^x}{\sin 2x}\]
Concept: undefined >> undefined
\[\lim_{x \to a} \frac{\log x - \log a}{x - a}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\log \left( a + x \right) - \log \left( a - x \right)}{x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\log \left( 2 + x \right) + \log 0 . 5}{x}\]
Concept: undefined >> undefined
The standard deviation of the data:
| x: | 1 | a | a2 | .... | an |
| f: | nC0 | nC1 | nC2 | .... | nCn |
is
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{x\left( 2^x - 1 \right)}{1 - \cos x}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\sqrt{1 + x} - 1}{\log \left( 1 + x \right)}\]
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{\log \left| 1 + x^3 \right|}{\sin^3 x}\]
Concept: undefined >> undefined
`\lim_{x \to \pi/2} \frac{a^\cot x - a^\cos x}{\cot x - \cos x}`
Concept: undefined >> undefined
\[\lim_{x \to 0} \frac{e^x - 1}{\sqrt{1 - \cos x}}\]
Concept: undefined >> undefined
\[\lim_{x \to 5} \frac{e^x - e^5}{x - 5}\]
Concept: undefined >> undefined
