If the mode of the an observation is 3 and the mean is 6. Then what is the median of an observation?

Report

Report an issue

Name

Email

Message

Submit

Cancel

RRB NTPC Exam 20 Jan 2021 click here to view all questions

If the mode of the an observation is 3 and the mean is 6. Then what is the median of an observation?

A6

B4

C7

D5

Akhilesh ? Apr 7 '25 at 21:33

correct answer is: option d) 5
Explanation: We can use the empirical relationship between the mean, median, and mode: \( \text{Mode} = 3 \cdot \text{Median} - 2 \cdot \text{Mean} \).
Given Mode = 3 and Mean = 6, we can substitute these values into the formula to solve for the Median.
\( 3 = 3 \cdot \text{Median} - 2 \cdot 6 \)
\( 3 = 3 \cdot \text{Median} - 12 \)
\( 15 = 3 \cdot \text{Median} \)
\( \text{Median} = 5 \).

• Option a: Incorrect. Substituting 6 as the median into the formula would not satisfy the given conditions.
• Option b: Incorrect. Substituting 4 as the median into the formula would not satisfy the given conditions.
• Option c: Incorrect. Substituting 7 as the median into the formula would not satisfy the given conditions.
• Option d: Correct. The median is calculated using the relationship between mean, median, and mode and matches the given mode and mean.

All DiscussionsClick here to write answer

correct answer is: option d) 5 Explanation: We can use the empirical relationship between the mean, median, and mode: \( \text{Mode} = 3 \cdot \text{Median} - 2 \cdot \text{Mean} \). Given Mode = 3 and Mean = 6, we can substitute these values into the formula to solve for the Median. \( 3 = 3 \cdot \text{Median} - 2 \cdot 6 \) \( 3 = 3 \cdot \text{Median} - 12 \) \( 15 = 3 \cdot \text{Median} \) \( \text{Median} = 5 \). Option a: Incorrect. Substituting 6 as the median into the formula would not satisfy the given conditions. Option b: Incorrect. Substituting 4 as the median into the formula would not satisfy the given conditions. Option c: Incorrect. Substituting 7 as the median into the formula would not satisfy the given conditions. Option d: Correct. The median is calculated using the relationship between mean, median, and mode and matches the given mode and mean. Akhilesh ? answered Apr 7 '25 at 21:33

Post your answers here:

Post

Post your comments here:

Message

Post

Cancel