Statistics Test

Result

Statistics Test - 50

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Weekly Quiz Competition

Question 1
1 / -0

$$\sum _{ i=1 }^{ 10 }{ { \left( { X }_{ i }-10 \right) }^{ 2 }=2000 } \sum _{ i=1 }^{ 10 }{ { X }_{ i }-10 } =100$$ then the standard deviation of data set $${X}_{i}$$.

A
$$1$$

B
$$5$$

C
$$10$$

D
$$2$$
Question 2
1 / -0

Find the standard deviation of 10 observation 111, 211, 311,.......,1011.

A
100$$\sqrt { 3 } $$

B
250

C
300

D
50$$\sqrt { 33 } $$
Question 3
1 / -0

The mean and standard deviation of $$1,2,3,4,5,6$$ are

A
$$\dfrac{7}{2},\sqrt{\dfrac{35}{12}}$$

B
$$\dfrac{7}{3} ,\sqrt{3}$$

C
$$3,3$$

D
$$3,35/12$$

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

The mean deviation from mean of the observation $$a,\ a+d,\ a+2d,....,a+2nd$$ is

A
$$\dfrac {n(n+1)d^{2}}{3}$$

B
$$\dfrac {n(n+1)}{2}d^{2}$$

C
$$a+\dfrac {n(n+1)d^{2}}{2}$$

D
$$None\ of\ these$$

Solution
Question 6
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 7
1 / -0

The average marks of 10 students in a class is 60 with standard deviation 4 while the average marks of other 10 students is 40 with standard deviation 6. If all the 20 students are taken together, their standard deviation will be

A
$$\sqrt {109}$$

B
12

C
$$\sqrt {116}$$

D
$$\sqrt {126}$$
Question 8
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 9
1 / -0

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 10
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