Answered

Find the median of the following data set.


0.48, 0.66, 1.02, 0.82, 0.7, 0.94


0.44

0.76

1.02

Verified Answer :

lorraiine

Answer: 0.76

Step-by-step explanation:

 

Answer:

Option B is correct.

Step-by-step explanation:

Given Data Set = 0.48 , 0.66 , 1.02 , 0.82 , 0.7 , 0.94

Number of observation in data set,N = 6

It is an even number.

So, Formula for Median = \(\frac{(\frac{N}{2})^{th}+(\frac{N}{2}+1)^{th}\:term}{2}\)

before using the formula we arrange data in increasing order or decreasing order.

Data set in increasing order = 0.48 , 0.66 , 0.7 , 0.82 , 0.94 , 1.02

Now,

Median =  \(\frac{(\frac{6}{2})^{th}+(\frac{6}{2}+1)^{th}\:term}{2}\)

             = \(\frac{3^{rd}+4^{th}\:term}{2}\)

             = \(\frac{0.7+0.82}{2}\)

             = \(\frac{1.52}{2}\)

             = \(0.76\)

Therefore, Option B is correct.

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