Statistics Test

Result

Statistics Test - 52

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Weekly Quiz Competition

Question 1
1 / -0

The mean deviation of the following distribution is

x 10 11 12 13 14
f 3 12 18 12 3

A
12

B
0.75

C
1.25

D
26
Question 2
1 / -0

If $$\displaystyle \sum _{ r=1 }^{ 9 }{ \left( { x }_{ 1 }-5 \right) } =9$$ and $$\displaystyle \sum _{ r=1 }^{ 9 }{ \left( { x }_{ 1 }-5 \right) ^{ 2 } } =45$$ then the standard deviation of the $$9$$ items $$x_{1},x_{2}....x_{9}$$ is:

A
$$3$$

B
$$9$$

C
$$4$$

D
$$2$$

Solution
Question 3
1 / -0

If marks scored by students of class are $$1, 2, 4, .....2^{10}$$ with frequency $$1, 2, 3, 4 .....11$$ then median is

A
$$128$$

B
$$64$$

C
$$32$$

D
$$16$$

Solution
Question 4
1 / -0

If the mean of the data : $$7,8,9,7,8,7 , \lambda , 8$$ is $$8 ,$$ then the variance of this data is :

A
$$\dfrac { 7 } { 8 }$$

B
$$1$$

C
$$\dfrac { 9 } { 8 }$$

D
$$2$$

Solution
Question 5
1 / -0

Mean deviation of first three odd number through mean is

A
3

B
1

C
2

D
$$\frac { 4 }{ 3 } $$

Solution
Question 6
1 / -0

If variable x takes values $$ 0,1,2 \ldots, \ldots, $$ with frequencies proportional to binomial coef- ficients $$ n_{C_{O}}, n_{C_{1}}, n_{C_{2}} \dots n_{C_{n}} $$. Then the variance of x is...

A
$$

\frac{n^{2}-1}{12}

$$

B
$$

\frac{n}{2}

$$

C
$$

\frac{n}{4}

$$

D
$$

\frac{n}{3}

$$

Solution
Question 7
1 / -0

If each observation of a dist. whose $$S.D$$ is $$\sigma $$, is increased by $$\lambda$$ then the variance of the new observations is

A
$$\sigma$$

B
$$\sigma+\lambda $$

C
$$\sigma^ {2} $$

D
$$\sigma^ {2}+\lambda$$

Solution
Question 8
1 / -0

If a variable takes the discrete values $$\alpha + 4,\,\,\alpha - \frac{7}{2},\alpha - \frac{5}{2},\alpha - 3,\alpha - 2,\alpha + \frac{1}{2},\alpha - \frac{1}{2},\alpha + 5\left( {\alpha > 0} \right).$$ then the median is:

A
$$\alpha - \frac{5}{4}$$

B
$$\alpha - \frac{1}{2}$$

C
$$\alpha - 2$$

D
$$\alpha + \frac{5}{4}$$

Solution
Question 9
1 / -0

Calculate the median salary of the data

A
$$11.42$$

B
$$12$$

C
$$13.42$$

D
$$24$$

Solution
Question 10
1 / -0

The median and S.D of a distribution are 20 and 4 respectively. If each item is increased by 2, the new median are S.D are:

A
20, 6

B
22. 6

C
18, 6

D
22, 4

Solution