Find mode, using an empirical relation, when it is given that mean and median are 10.5 and 9.6 respectively.Select one:a.7.8b.7.9c.8.0d.7.0
Question
Find mode, using an empirical relation, when it is given that mean and median are 10.5 and 9.6 respectively.
Select one:
- a. 7.8
- b. 7.9
- c. 8.0
- d. 7.0
Solution
To find the mode, we need to use the empirical relation between the mean and the mode. The empirical relation states that the mode is approximately equal to twice the median minus the mean.
Given that the mean is 10.5 and the median is 9.6, we can calculate the mode using the formula:
Mode ≈ (2 * Median) - Mean
Mode ≈ (2 * 9.6) - 10.5
Mode ≈ 19.2 - 10.5
Mode ≈ 8.7
Since none of the given options match the calculated mode of 8.7, none of the options a, b, c, or d are correct.
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