Question

What is the median of the data set 30 52 68 65 69 61 68 75 85 78

Answer 1

Median is the number in the middle when all the numbers are put in order.
Let's do that first.
30 52 61 65 68 68 69 75 78 85
Now if there's 10 numbers, 2 numbers are in the middle.
By counting in 4 on both sides, we know the two numbers are both 68, so 68 is the median.

Answer 2

Answer:

Option C.

Step-by-step explanation:

The given data set is

30, 52, 68, 65, 69, 61, 68, 75, 85, 78

Arrange the data in ascending order.

30, 52, 61, 65, 68, 68, 69, 75, 78, 85

Number of observations n=10, which is an even number.

So, median of the data set is

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

$Median=\dfrac{\frac{10}{2}th+(\frac{10}{2}+1)th}{2}$

$Median=\dfrac{5th+6th}{2}$

5th term =68 and 6th term =68.

$Median=\dfrac{68+68}{2}$

$Median=\dfrac{136}{2}$

$Median=68$

Median of the data is 68. Therefore, the correct option is C.