The range of the data 8, 8, 8, 8, 8. . . 8 is

(a)

0

(b)

1

(c)

8

(d)

3

The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all observations is

(a)

40000

(b)

160900

(c)

160000

(d)

30000

The standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is

(a)

3

(b)

15

(c)

5

(d)

225

If the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is

(a)

3.5

(b)

3

(c)

4.5

(d)

2.5

The probability a red marble selected at random from a jar containing p red, q blue and r green marbles is

(a)

\(\frac { q }{ p+q+r } \)

(b)

\(\frac { p }{ p+q+r } \)

(c)

\(\frac { p+q }{ p+q+r } \)

(d)

\(\frac { p+r }{ p+q+r } \)

The probability of getting a job for a person is \(\frac{x}{3}\). If the probability of not getting the job is \(\frac{2}{3}\)  then the value of x is

(a)

2

(b)

1

(c)

3

(d)

1.5

If a letter is chosen at random from the English alphabets {a, b,...,z}, then the probability that the letter chosen precedes x

(a)

\(\frac{12}{13}\)

(b)

\(\frac{1}{13}\)

(c)

\(\frac{23}{26}\)

(d)

\(\frac{3}{26}\)

Two dice are through simultaneously the probability if getting a double is ___________

(a)

\(\frac{5}{36}\)

(b)

\(\frac{1}{12}\)

(c)

\(\frac{1}{9}\)

(d)

\(\frac{1}{6}\)

A number x is chosen at random from -4, -3, -2, -1, 0, 1, 2, 3, 4 find the probability that |x| ≤ 4

(a)

0

(b)

1

(c)

\(\frac{1}{2}\)

(d)

\(\frac{1}{9}\)

IF the probability of the non-happening of a event is q, then the probability of happening of that event is 

(a)

1-q

(b)

q

(c)

q/2

(d)

∝q

The standard deviation is the ____ of variance 

(a)

cube

(b)

square

(c)

square root

(d)

cube root

The mean of a observation x₁, x₂, x₃, ......... x_n is \(\bar { x } \). If each observation is multiplied by p, there the mean of the new observations is ___________

(a)

\(\frac { \bar { x } }{ p } \)

(b)

p\(\bar { x } \)

(c)

\(\bar { x } \)

(d)

P+\(\bar { x } \)

If the smallest value and co-efficient of range a data are 25 and 0.5 respectively. Then the largest value is ___________

(a)

25

(b)

75

(c)

100

(d)

12.5

If the standard deviation of a variable x is 4 and if = \(\frac { 3x+5 }{ 4 } \) , then the standard deviation of y is ___________

(a)

4

(b)

3.5

(c)

3

(d)

2.5

If the co-efficient of variation and standard deviation of a data are 35% and 7.7 respectively then the mean is ___________

(a)

20

(b)

30

(c)

25

(d)

22