1.

Find the median of 55, 60, 35, 51, 29, 63, 72, 91, 85, 82.

Answer»

The value of the middle-most observation is called the median of the data.

First arrange the given numbers in ascending order,

29, 35, 51, 55, 60, 63, 72, 82, 85, 91

Here n = 10, which is even.

Where, n is the number of the given number.

∴median = ½ {(n/ 2)th term + ((n/2) + 1)th term}

= ½ {(10/ 2)th term + ((10/2) + 1)th term}

= ½ {(5)th term + ((5) + 1)th term}

= ½ {(5)th term + (6)th term}

= ½ (60 + 63)

= ½ (123)

= (123/2)

= 61.5

Hence, the median is 61.5.


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