Consider the following data 110 41 43 95 127 99 61 92 71 93 110 36 If 93 is replaced by 94 then cons...........

Quantitative Aptitude (CDS) Statistics

Consider the following data :

110, 41,43, 95, 127, 99, 61, 92, 71, 93, 110, 36

If 93 is replaced by 94, then consider the following statements :

1. The difference between new median and old median is 1.

2. The difference between new mean and old mean is less than 0.1

3. The difference between new mode and old mode is zero.

Which of the statements given above are correct?

This questions was previously asked in

2024 CDS -1 MATH

1 and 2 only

2 and 3 only

1 and 3 only

1, 2 and 3

- Let’s analyze each statement:

- Median: Arrange data: 36, 41, 43, 61, 71, 92, 93, 95, 99, 110, 110, 127.

Old median = (92+93)/2 = 92.5. Replace 93 with 94: new set is 36, 41, 43, 61, 71, 92, 94, 95, 99, 110, 110, 127

New median = (92+94)/2 = 93. So, difference = 0.5 (not 1).

- Mean: Sum increases by 1, so mean increases by 1/12 ˜ 0.083 (<0.1); Statement 2 is correct.

- Mode: 110 occurs twice in both sets, remains unchanged. Statement 3 is correct.

Final answer:

Option:2, 2 and 3 only

Submit Error