Statistics MCQs

Q111: A farmer invested Rs 10,000 in a new irrigation system. If the expected annual cash inflow from the system is Rs 2,500 for the next five years, and the discount rate is 8%, what is the NPV?

Rs 1,000

Rs 1,500

Rs 2,000

None of these

Q112: The standard deviation of 10, 10, 10, 10 is ____?

0

1

2

None of these

Q113: Which term of the AP 2, 11, 20, 29, _______is 290?

33

34

35

36

Q114: The form of business having unlimited liabilities

کاروبار کی شکل جس میں لامحدود واجبات ہیں۔

general partnership

limited partnership

limited liability partnership

particular partnership

Q115: Which of the following in the type of probability sampling?

احتمال کے نمونے لینے کی قسم میں مندرجہ ذیل میں سے کون سا ہے؟

Stratified Sampling

Judgmental Sampling

Convenience Sampling

Snow ball Sampling

Q116: What is the probability that the sum of the numbers on two rolled dice is 7?

1/12

1/6

1/3

1/2

Q117: From the data 3.4, 2.5, 4.8, 2.9, 3.6, 2.8, 3.3, 5.6, 3.7, 2.8, 4.4, 4.0, 5.2, 3.0, 4.8, the sample median will be?

2.9

3.7

3.6

None of these

Arrange Data in Ascending Order:2.5,2.8,2.8,2.9,3.0,3.3,3.4,3.6,3.7,4.0,4.4,4.8,4.8,5.2,5.62.5,2.8,2.8,2.9,3.0,3.3,3.4,3.6,3.7,4.0,4.4,4.8,4.8,5.2,5.6

Explanation

Arrange Data in Ascending Order:
$2.5, 2.8, 2.8, 2.9, 3.0, 3.3, 3.4, 3.6, 3.7, 4.0, 4.4, 4.8, 4.8, 5.2, 5.6$
Find Median:
- There are 15 data points (odd number), so the median is the 8th value in the ordered list.
- The 8th value is 3.6.

Q118: 6 person completes a work in 16 days, 8 people will complete the job in how many days.

12

14

9

10

None of these

Q119: A jar has 5 marbles 1 of each of the colors red, white blue and yellow. If 4 marbles are removed from the jar. What is the probability that the yellow marble was removed?

1/2

1/5

4/5

None of these

Explanation

Let's analyze the problem:

Total marbles in the jar: 5 (red, white, blue, yellow, and 1 more color)
4 marbles are removed.
Find the probability that the yellow marble was removed.

Step 1: Total ways to remove 4 marbles from 5

text{Total ways} = binom{5}{4} = 5

Step 2: Number of ways to remove 4 marbles, including yellow

To include the yellow marble, we must select the yellow marble and 3 others from the remaining 4 marbles:

text{Favorable ways} = binom{4}{3} = 4

Step 3: Probability yellow marble is removed

P = frac{text{Favorable ways}}{text{Total ways}} = frac{4}{5}

Q120: There are 100 people on a line. Aviva is the 37th person and Naomi is the 67th person, of a person is on line chosen at random what is the probability that the person is standing between Aviva and Naomi

1/100

29/100

3/10

None of these

Explanation

The probability that someone is between Aviva and Naomi

Aviva is the 37th person.
Naomi is the 67th person.
"Between" refers to people aged 37 to 67, i.e., positions 38 through 66.

Number of people between them = 66 − 38 + 1 = 29 people

There are 100 people total.

So the probability that a randomly chosen person is between them is:

$\frac{29}{100 }$