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Question

Question: For a symmetrical distribution \(Q_{1} = 25\) and \(Q_{3} = 45\), the median is...

For a symmetrical distribution Q1=25Q_{1} = 25 and Q3=45Q_{3} = 45, the median is

A

20

B

25

C

35

D

None of these

Answer

35

Explanation

Solution

As the distribution is symmetrical, therefore,

Q2\mathbf{Q}_{\mathbf{2}} (Median) =Q1+Q32= \frac{Q_{1} + Q_{3}}{2} =25+452=35= \frac{25 + 45}{2} = 35.