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11th Business Maths Weekly Test - 3 ( Descriptive Statistics and Probability )

MABS Institution

11th Business Maths Weekly Test - 3 ( Descriptive Statistics and Probability )-Aug 2020

Time : 1.00 Hours

Part - A

Multiple Choice Question - Answer All Question

The first quartile is also known as

median.
lower quartile.
mode.
third decile

When calculating the average growth of economy, the correct mean to use is?

Weighted mean
Arithmetic mean
Geometric mean
Harmonic mean

The two events A and B are mutually exclusive if

\(P\left( A\cap B \right) =0\)
\(P\left( A\cap B \right) =1\)
\(P\left( A\cup B \right) =0\)
\(P\left( AUB \right) =1\)

The probability of drawing a spade from a pack of card is

1/52
1/13
4/13
1/4

When an observation in the data is zero, then its geometric mean is

Negative
Positive
Zero
Cannot be calculated

The mean of the values 11,12,13,14 and 15 is

15
11
12.5
13

The median of 10,14,11,9,8,12,6 is

10
12
14
9

The best measure of central tendency is

Arithmetic mean
Harmonic mean
Geometric mean
Median

If median = 45 and its coefficient is 0.25, then the mean deviation about median is

11.25
180
0.0056
45

The probability of obtaining an even prime number on each die, when a pair of dice is rolled is

1/36
0
1/3
1/6

The correct relationship among A.M.,G.M.and H.M.is:

A.M.
G.M.≥A.M.≥H.M.
H.M.≥G.M.≥A.M.
A.M.≥G.M.≥H.M.

The harmonic mean of the numbers 2,3,4 is

\(\frac { 12 }{ 13 } \)
2
\(\frac { 36 }{ 13 } \)
\(\frac { 13 }{ 36 } \)

Probability that at least one of the events A, B occur is

\(P(A\cup B)\)
\(P(A\cap B)\)
P(A/B)
P\((A\cup B)\)

If two events A and B are dependent then the conditional probability of P(B/A) is

\(P(A)P(B/A)\)
\(\frac { P(A\cup B) }{ P(B) } \)
\(\frac { P(A\cap B) }{ P(A) } \)
\(P(A)P(A/B)\)

If the outcome of one event does not influence another event then the two events are

Mutually exclusive
Dependent
Not disjoint
Independent

Part - B

Generic 2 - Answer All Question

From a pack of 52 cards, two cards are drawn at random. Find the probability that one is a king and the other is a queen.

A committee of two persons is formed from 3 men and 2 women. What is the probability that the committee will have
(i) No woman (ii) One man (iii) No man

Find the first quartile and third quartile for the given observations
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

Let P(A)=\(\frac{3}{5}\) and P(B)=\(\frac{1}{5}\) . Find P(A∩B) if A and B are independent events.

A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other without replacement. Find the probability that both balls drawn are black.

An unbiased die is thrown. If A is the event ‘the number appearing is a multiple of 3’ and B be the event ‘the number appearing is even’ number then find whether A and B are independent?

A family has two children. What is the probability that both the children are girls given that at least one of them is a girl?

Find D₂ and D₆ for the following series 22, 4, 2, 12, 16, 6, 10, 18, 14, 20, 8

A person purchases tomatoes from each of the 4 places at the rate of 1kg., 2kg., 3kg., and 4kg. per rupee respectively .On the average, how many kilograms has he purchased per rupee?

An investor buys Rs. 1,500 worth of shares in a company each month. During the first four months he bought the shares at a price of Rs. 10, 15, 20 and 30 per share. What is the average price paid for the shares bought during these four months? Verify your result.

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