Descriptive Statistics Test 52

Result

Descriptive Statistics Test 52

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Weekly Quiz Competition

Question 1
1 / -0

The standard deviation of a varibale x is$$\sigma $$. The standard devaition of the varibale $$\frac { ax+b }{ c } $$ where a, b, c are constant is _____________________.

A
$$\left( \frac { a }{ b } \right) \sigma $$

B
$$\left| \frac { a }{ c } \right| \sigma $$

C
$$\left| \frac { a^{ 2 } }{ c^{ 2 } } \right| \sigma $$

D
$$(a)\sigma $$
Question 2
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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

A
$$8.25$$

B
$$6.5$$

C
$$3.87$$

D
$$2.87$$

Solution
Question 3
1 / -0

Ina a class of 20 students, each student can score 10 or 0 marks in a certain examination. The maximum possible variance in the marks of the students in the class is

A
24

B
22

C
20

D
25

Solution
Question 4
1 / -0

Two sets each of $$20$$ observations, have the same standard deviation $$'5'$$. The first set has a mean $$'17'$$ and the second set mean $$'22'$$ then standard deviation of the combining the given two sets is

A
$$4.49$$

B
$$5.59$$

C
$$6.49$$

D
$$7.59$$

Solution
Question 5
1 / -0

In a series of $$100$$ observations, half of them is equal to $$p$$ and remaining half equal to $$-p$$ if the standard deviation of these observations is $$10$$ then $$|p|=$$__

A
$$10$$

B
$$\dfrac {1}{10}$$

C
$$\dfrac {1}{\sqrt {10}}$$

D
$$\sqrt {10}$$

Solution
Question 6
1 / -0

If the standard deviation of $$x_1,x_2,...,x_n$$ is 3.5 then the standard deviation of $$2x_1-3,2x_2-3,...,2x_n-3$$ is

A
-7

B
10.5

C
7

D
-10
Question 7
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If $$\sum _{ i=1 }^{ 9 }{ ({ x }_{ i }-5)=9 } $$ and $$\sum _{ i=1 }^{ 9 }{ { { ( }x_{ i }-5 })^{ 2 }=45 }, $$ then the standard deviation of the 9 items $${ x }_{ 1 },{ x }_{ 2, }.........{ x }_{ 9 }$$ is

A
4

B
2

C
3

D
9

Solution
Question 8
1 / -0

If 25% of the items are less than 10 and 25% are more than 40, then the coefficient of quartile deviation is

A
30

B
50

C
1.2

D
0.6
Question 9
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The standard deviation of $$50$$ values of a variable x is $$15$$; if each value of the variable is divided by $$(-3)$$; then the standard division of the new set of $$50$$ values of x will be

A
$$15$$

B
$$-15$$

C
$$5$$

D
$$-5$$

Solution
Question 10
1 / -0

Directions For Questions

The daily wages (in $$Rs$$) of $$11$$ persons given as $$140, 145, 130, 165, 160, 125, 150, 170, 175, 120, 180$$ then

...view full instructions

The quartile deviation of wages is

A
$$22.5$$

B
$$25$$

C
$$20$$

D
$$21.2$$