The numbers 52,53, 54, 54, (2x+1), 55, 55, 56,57 are arranged in ascending order and their median is 55. Find the mode of the given data.

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Solution

The correct option is B
55

There are 9 observations and they are arranged in ascending order. The 5th term is the median.

$2 x + 1 = 55 \Rightarrow x = 27$

Hence, the numbers are 52,53, 54, 54, 55, 55, 55, 56,57

Hence, mode is 55 as it occurs 3 times

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The numbers 52,53, 54, 54, (2x+1), 55, 55, 56,57 are arranged in ascending order and their median is 55. Find the mode of the given data.

The correct option is B 55 There are 9 observations and they are arranged in ascending order. The 5th term is the median. 2x+1=55⇒x=27 Hence, the numbers are 52,53, 54, 54, 55, 55, 55, 56,57 Hence, mode is 55 as it occurs 3 times

The correct option is B
55

There are 9 observations and they are arranged in ascending order. The 5th term is the median.

$2 x + 1 = 55 \Rightarrow x = 27$

Hence, the numbers are 52,53, 54, 54, 55, 55, 55, 56,57

Hence, mode is 55 as it occurs 3 times