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+2 votes
36.1k views
in Mathematics by (40.5k points)
closed by

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.

2 Answers

+1 vote
by (15.0k points)
selected by
 
Best answer

Mode = 3 Median - 2 Mode

3 Median = 2 Mean + Mode

Therefore,

Median = \(\frac{2(29.75) + 24.5}{3}\)

\(= \frac{59.5 + 24.5} 3\)

\(= \frac{84}3\)

\(= 28\)

+4 votes
by (44.9k points)

Given,

Mode = 24.5

Mean = 29.75

The relationship connecting measures of central tendencies is :

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