The mode and median of a data is 26.7 and 71, respectively. What is the mean of the data? (Use empirical formula.)
93.2
The empirical relationship between mean, median, and mode is given by: \[ \text{Mean} = 3 \times \text{Median} - 2 \times \text{Mode} \] Substituting the values: \[ \text{Mean} = (3 \times 71) - (2 \times 26.7) = 213 - 53.4 = 93.2 \] Thus, the mean is **93.2**.
Important Questions from Measures of Central Tendency
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The mean of a group of 100 observations was found to be 20. Later it was found that four observations were incorrect, which were recorded as 21, 21, 18 and 20. What is the mean if the incorrect observations are omitted?
