Q. 84.8( 9 Votes )

# There are 10 observations arranged in ascending order as given below.

45,47,50,52, x, x + 2, 60,62,63,74. The median of these observations is 53.

Find the value of x. Also find the mean and the mode of the data.

Answer :

Here, n=10

So median = Mean of fifth and sixth observations.

5^{th} term = x and 6^{th} term = x + 2

⇒ 2x=106-2

⇒ x=52

Mode is the most frequently occurring observation. Here 52 appears twice.

So, mode = 52.

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