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
In a colony 5 families have 1 child, 7 families have 2 children, 8 families have 3 children and 3 families have 4 children.What is the mode of the number of children.
What will be the difference between mean and median of the given data?
21, 11, 27, 8, 5, 12, 7, 23, 3, 14, 9, 19Find the mode and median of 3, 4, 5, 5, 3, 6, 7, 3, 5, 5, 6.
A. 5 and 5
B. 3 and 5
C. 5 and 4
D. 3 and 4
For which set of numbers do the mean, median and mode all have the same value?
The median of 5, 8, 25, 22, 34, 18 is
