Question

if the median of 2,4,6,a+3,10,12,14 is 8 . Find a​

Answer 1

Answer:

Step-by-step explanation:

2,4,6,a+3,10,12,14 = 8

If we go on cancelling we get only a+3

Since the median is the center most number the, the formula to find a median in a even set of numbers is, a+b+c+d = b+c/2.

In this case, addition is given directly, that is, it is a+3 so no formula is required

a+3 = 8

a = 8-3

a = 5

Checking:a+3 = 8

5+3 = 8

Answer 2

Answer:

Given ,

• Data → 2,4,6,a+3,10,12,14

• Median of the data → 8

Here,

n ( number of terms ) = 7 , which is an odd number.

$\bold{So, \: median \: of \: the \: data = \underline {\frac{n + 1}{2} th \: \: observation}}$

$\bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7 + 1}{2} th \: observation \: }$

$\bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{8}{2} th \: observation \: }$

$\bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 th \: observation \: }$

$\bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \boxed{\bold {a + 3 }}}$

According to the question,

a + 3 = 8

→ a = 8 - 3

→ $\large\boxed{\bold{a\:=\:5}}$