Maths · Measures of dispersion; calculation of mean, median, mode of grouped and ungrouped data
For a certain frequency distribution, the values of Median and Mode are 95.75 an
For a certain frequency distribution, the values of Median and Mode are 95.75 and 95.5 respectively. Find the Mean
- A. 95.175
- B. 95.475
- C. 95.875
- D. 96.975
Step-by-step solution
Using the empirical relationship for a moderately skewed distribution: Mode = 3 Median - 2 Mean. Substituting Median = 95.75 and Mode = 95.5 gives 95.5 = 3(95.75) - 2 Mean => 95.5 = 287.25 - 2 Mean => 2 Mean = 287.25 - 95.5 = 191.75 => Mean = 191.75 / 2 = 95.875.
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