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

1/8 will be the answer as they said the median was 10 and the median is x hence !

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 is

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

Median of the given data is 10.

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

Median of even number of observations is

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

$Median=\frac{(\frac{8}{2})th+(\frac{8}{2}+1)th}{2}$

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

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

$20=9+x$

$x=11$

Therefore the value of x is 11.

The given data is

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

In the given data number 10 is not available. The probability is

$P=\frac{0}{8}=0$

Therefore the probability to get the number 10 from the above data is 0.