IGDTUW 2026 — Mathematics PYQ
IGDTUW | Mathematics | 2026The Mode of a distribution is 25 and the Median is 23. Find the Mean.
Choose the correct answer:
- A.
20
- B.
22
(Correct Answer) - C.
22.5
- D.
24
22
Explanation
Step 1: Identify the Given Values
From the question, we have:
Mode=25
Median=23
Step 2: Use the Empirical Formula
In statistics, for a moderately skewed distribution, the relationship between mean, median, and mode is given by the empirical formula:
Mode=3(Median)−2(Mean)
Step 3: Substitute and Calculate
Substitute the given values into the formula:
25=3(23)−2(Mean)
Simplify the right side of the equation:
25=69−2(Mean)
Rearrange the terms to solve for 2(Mean):
2(Mean)=69−25
2(Mean)=44
Now, divide by 2:
Mean=244
Mean=22
Correct Answer:
(b) 22
Explanation
Step 1: Identify the Given Values
From the question, we have:
Mode=25
Median=23
Step 2: Use the Empirical Formula
In statistics, for a moderately skewed distribution, the relationship between mean, median, and mode is given by the empirical formula:
Mode=3(Median)−2(Mean)
Step 3: Substitute and Calculate
Substitute the given values into the formula:
25=3(23)−2(Mean)
Simplify the right side of the equation:
25=69−2(Mean)
Rearrange the terms to solve for 2(Mean):
2(Mean)=69−25
2(Mean)=44
Now, divide by 2:
Mean=244
Mean=22
Correct Answer:
(b) 22