Question

FIND THE MEDIAN OF THE DATA SET3,35,23,37,45,49,27,48
A.35
B.34
C.30.2
D.38

Answer 1

A. 35

Explanation:

The median of a data set is the middle value when the data values are placed in order of size.

Given data set:

• {3, 35, 23, 37, 45, 5, 49, 27, 48}

Place the data in order of size:

• {3, 5, 23, 27, 35, 37, 45, 48, 49}

To find the median, divide the total number of data values (n) by 2.

• If n/2 is a whole number, the median is halfway between the values in this position and the position above.
• If n/2 is not a whole number, round it up to find the position of the median.

As there are 9 data values, the median value is:

`\implies (9)/(2)=4.5 \implies \sf 5th\;value`

Therefore, the median of the given data set is 35.

Answer 2

• A. 35

Explanation:

Given

• Data set 3, 35, 23, 37, 45, 49, 27, 48

Solution

First, put the data in the ascending order:

• 3, 35, 23, 37, 45, 49, 27, 48 → 3, 23, 27, 35, 37, 45, 48, 49

Number of elements is 8, so the median is the average of the middle two elements:

• (35 + 37) / 2 = 36

Now, this is not one of the answer choices. It means given set is missing a number.

If the missing number is less than 35, it makes 35 the middle number, so it becomes the median.

If the missing number is greater than 37, it makes 37 the middle number, so it becomes the median.

Since we have 35 as a choice and not 37, the right choice is A.