Question

Write the relationship connecting three measures of central tendencies, hence find the median of the given data if mode is 24.5 and mean is 29.75

Answer 1

Step-by-step explanation:

The empirical relation between Mean, Median, and Mode:

Mean - Mode ≈ 3 (Mean - Median)

Derive the equation for Mode:

Mean - Mode ≈ 3Mean - 3Median

Mode ≈  3Median - 3Mean - Mean

Mode ≈ 3Median - 2Mean

Given:

Median: 28

Mean: 29.75

Mode ≈ 3(28) - 2(29.75)

Mode ≈ 84 - 59.5

Mode ≈ 24.5

Answer 2

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