Which of the following is not a measure of dispersion?

(a)

Range

(b)

Standard deviation

(c)

Arithmetic mean

(d)

Variance

The sum of all deviations of the data from its mean is

(a)

Always positive

(b)

always negative

(c)

zero

(d)

non-zero integer

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 standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is

(a)

3p + 5

(b)

3p

(c)

p + 5

(d)

9p + 15

Which of the following is incorrect?

(a)

P(A) > 1

(b)

0 ≤ P(A) ≤ 1

(c)

P(ф) = 0

(d)

P(A) + P(\(\bar { A } \)) = 1

A page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is

(a)

\(\frac{3}{10}\)

(b)

\(\frac{7}{10}\)

(c)

\(\frac{3}{9}\)

(d)

\(\frac{7}{9}\)

Kamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is \(\frac{1}{9}\), then the number of tickets bought by Kamalam is

(a)

5

(b)

10

(c)

15

(d)

20

A purse contains 10 notes of Rs. 2000, 15 notes of Rs. 500, and 25 notes of Rs. 200. One note is drawn at random. What is the probability that the note is either a Rs. 500 note or Rs. 200 note?

(a)

\(\frac{1}{5}\)

(b)

\(\frac{3}{10}\)

(c)

\(\frac{2}{3}\)

(d)

\(\frac{4}{5}\)

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 girl calculates the probability of her winning in a match is 0.08 what is the probability of her losing the game ___________

(a)

91%

(b)

8%

(c)

92%

(d)

80%

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

If the data is multiplied by 4, then the corresponding variances is get multiplied by ___________

(a)

4

(b)

16

(c)

2

(d)

None