Question

the median of 10,17,22,x,2,x,4,30,36,and 40 is 26 find x​

Answer 1

Correct Question

The median of the data arranged in increasing order 10,17,22,x+2,x+4,30,36,40 is 26.Find x

Given

• Data -10,17,22,x+2,x+4,30,36,and 40

• Median- 26

Solution

~Median is defined as the mean of two middle values

▩ We see in the given data that the X+2 and X+4 is the median as it divides the data in 2 equal parts.

$\sf{\implies \frac{(X+4)+(X+2)}{2}= \red{Median}}$

$\sf{\implies \frac{2x+6 }{2}=26}$

$\sf{\implies 2x+6 =2×26}$

$\sf{\implies 2x=52-6}$

$\sf{\implies 2x=46}$

$\sf{\implies x=\frac{46}{2}}$

$\sf{\implies{ \underline \pink{ x= 23}}}$

➸ therefore the value of x is 23.

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More to know !!

Measure of Central tendancy:-

• Mode: the most frequent valuein the data.

• Median: the middle number in an ordered data.

• Mean: the sum of all values divided by the total number of values.

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