Q9 of 55 Page 364

If the median of arranging the ascending order of data 8, 9, 12, 17, x + 2, x + 4, 30, 31, 34, 39, is 15, then the value of x is

We have arranged data,


8, 9, 12, 17, x + 2, x + 4, 30, 31, 34, 39


Median = 15


Total number of data values, n = 10


Since, n is even, median will be given by



⇒


⇒ Median = The mean of 5th term and 6th term


⇒ Median = The mean of (x + 2) and (x + 4)


⇒


⇒


⇒ 30 = 2x + 6


⇒ 2x = 30 – 6


⇒ 2x = 24


⇒


⇒ x = 12

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i. Value of mode of data 2, 3, 9, 10, 9, 3, 9 is 10


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Let us fill in the blanks :

i. Mean, median, mode are measures of ________.


ii. If mean of x1,x2,x3……..xn is mean of ax1,ax2,ax3……..axn is _________.


iii. At the time of finding arithmetic mean, the lengths of all classes are _______.