Question

the median of the data 2,4,7,9,x,12,13,14 is 10.find the probability to get the number 10 from the above data.

Answer 1

median = 9 + x
10 = 9 + x
x = 10 - 9
x = 1
so,
the above data i.e, 2,4,7,9,1,12,13,14 doesn't have 10. So, probability of getting 10 is 0

Answer 2

Answer:

The value of x is 11. The probability to get the number 10 from the above data is 0.

Step-by-step explanation:

The given data

2,4,7,9,x,12,13,14

The number of observations is 8, which is an even number. So,

$Median=\frac{\frac{n}{2}th+(\frac{n}{2}+1)th}{2}$

It is given that the median of the data is 10.

$10=\frac{4th+5th}{2}$

$10=\frac{9+x}{2}$

$20=9+x$

$11=x$

Therefore the value of x is 11.

Now the given data is

2,4,7,9,11,12,13,14

In this data 10 in not available, therefore the probability to get the number 10 from the above data is 0.