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  • The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is (A) 45 (B) 49.5 (C) 54 (D) 56

The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is

\\(A) 45\\ (B) 49.5\\ (C) 54\\ (D) 56
 

Answers (1)

Answer : C

Given terms : 78, 56, 22, 34, 45, 54, 39, 68, 54, 84

To calculate the median, arrange the given data in ascending order and then find the middle term. This middle term is called the median.

In ascending order:

22, 34, 39, 45, 54, 54, 56, 68, 78, 84

Number of terms

=10\left ( \text {even} \right )

\text {Median}=\text {average of }\left ( \frac{n}{2} \right )^{th}\; \text {and}\; \left ( \frac{n}{2}+1 \right )^{th} \text {term}

\left ( \frac{n}{2} \right )^{th}\text {term}=\left ( \frac{10}{2} \right )^{th}=5^{th}\text {term}=54

\text {Median}=\frac{\text {term}+\text {6th term}}{2}=\frac{108}{2}=54

Therefore option (C) is correct.

Posted by

infoexpert23

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