Mode Calculation Using Empirical Relationship
For a moderately skewed distribution, the relationship between the mean, median, and mode can be approximated by the empirical formula:
$Mode = 3 \times Median - 2 \times Mean$
Given Values:
- Mean = 78
- Median = 61
Applying the Formula:
- Substitute the given Mean and Median into the formula:
$Mode = 3 \times 61 - 2 \times 78$
- Calculate the terms:
$Mode = 183 - 156$
- Compute the final value:
$Mode = 27$
Therefore, the mode of the distribution is 27.
Important Questions from Elementary Statistics
What is the mode of the given data?
3, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 3, 2What is the mode of the given data?
21, 22, 23, 23, 24, 21, 22, 23, 21, 23, 24, 23, 21, 23A bowler has taken 0, 3, 2, 1, 5, 3, 4, 5, 5, 2, 2, 0, 0, 1 and 2 wickets in 15 consecutive matches. What is the mode of the given data?
The data given below shows the number of people who have saved a certain amount of money.
Saving (In Rs.)
Number of people
5
1
15
3
20
4
25
2
30
1
35
1
40
2
What is the median of the given data?
If the ratio of mean and median of a certain data is 4 : 5, then find the ratio of its mean and mode.
