
Concept explainers
To evaluate an example with mode greater than mean and median.

Explanation of Solution
Given information:
Mode is greater than mean and median.
Formula used:
Mean formula is,
Where, f is frequency
N is total number of items
X is item.
Median formula is,
Where, N cumulative frequency
Mode formula is,
Consider the dataset,
Person | Salary | Cumulative frequency |
Ross | 10 | 10 |
Chandler | 20 | 30 |
Joey | 10 | 40 |
Racheal | 20 | 60 |
Monica | 50 | 110 |
Phoebe | 80 | 190 |
Total | 190 |
For Mode,
Substituting the highest value of the given dataset,
For mean, substituting the values,
On solving,
Hence, mean= 31.66
For median, substituting the values,
So,
On solving,
Comparing the value with the table.
So, median is 50.
Comparing, mean, median and mode.
Mode of the given dataset is greater than mean and median both. Therefore, the given dataset is and example of a dataset, where, mode is greater than mean and median.
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