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Which of the following is correct for the given data $55, 38, 69, 24, 89$ ?

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median = mode

mean = mode

mean = median

None of these

answer is C.

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Detailed Solution

Given data,

55, 38, 69, 24, 89

.
Then,

Mean = \frac{sum of all the terms}{total number of terms}

\Rightarrow Mean = \frac{24 + 38 + 55 + 69 + 89}{5}

\Rightarrow Mean = \frac{275}{5}

\Rightarrow Mean = 55

if n (total number of terms ) is odd then the middle term when the data is arranged in ascending order is median.
Arranging in ascending order, we get :

24, 38, 55, 69, 89

Median = 55

Therefore, for the given data,

Mean = median

.
Hence, the correct option is 3.

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