Question

using empirical formula find mode if mean is 8.32 and median is 8.05 ​

Answer 1

3 Median= 2Mean+Mode

Mode= 3(8.05)-2(8.32)

Mode=24.15-16.64

Mode=7.51

Explaination- mark it brainliest answer

Answer 2

Empirical relationship between mean, median and mode states that, in a skewed distribution, the difference between the mean and mode is almost equal to the three times the difference between the mean and the median.

The empirical formula comes from,

Mean - Mode = 3 (Mean - Median)

Mean - Mode = 3 Mean - 3 Median

3 Median = Mode + 3 Mean - Mean

3 Median = Mode + 2 Mean

From given, we have,

Mean = 8.32

Median = 8.05

3 × 8.05 = Mode + 2 × 8.32

24.15 = Mode + 16.64

Mode = 24.15 - 16.64

∴ Mode = 7.51