AMU MCA Statistics Measures Of Central Tendency Previous Year Questions (PYQs) – Page 1 of 3
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Showing 26 questions
In the analysis of data of a randomized block design with 5 blocks and 4 treatments, the error degrees of freedom is:
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Solution
For Randomized Block Design:
Error d.f. = $(t-1)(b-1)$
Here $t=4$, $b=5$
Error d.f. = $(4-1)(5-1)=3 \times 4 = 12$
The standard deviation of sample means is called
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Solution
Standard deviation of sample mean distribution is called Standard Error.
Sum of the deviation about mean is
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Solution
By property of arithmetic mean:
$\sum (x_i-\bar{x})=0$
The standard deviation of a set of 50 observations is 8.
If each observation is multiplied by 2, the new value of standard deviation will be
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Solution
If each observation is multiplied by a constant $k$, then new S.D. = $|k| \times$ old S.D.
Here $k=2$
New S.D. = $2 \times 8 = 16$
The standard deviation of a variable $x$ is $10$. Then the standard deviation of $50 + 5x$ is
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Solution
The standard deviation of first $n$ natural numbers is
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Solution
For numbers $1,2,\dots,n$:
Mean $=\frac{n+1}{2}$
Variance $=\frac{n^2-1}{12}$
S.D. $=\sqrt{\frac{n^2-1}{12}}$
If a random sample of size 20 from a normal population with variance 225 has mean $\bar{x}=64.3$, then the 95% confidence interval for the population mean $\mu$ is (Given that $Z_{0.025}=1.96$).
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Solution
Uniform distribution is a particular case of Beta distribution with parameters
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Solution
Suppose that there are $K$ treatments and $n$ blocks in a randomized block design. In analysis of variance for this design, the error degrees of freedom is:
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Solution
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