Question

Question 3 of 5
What is the median of the data set?
7, 9, 11, 14, 18, 20, 30, 35

Answer 1

16

Explanation:

• Median means the middle term in a data set.
• Remember that, you have to arrange the data points from smallest to largest to find the median of a data set.
• The formula to find the median of a data set is:

`\sf ((n+1)/(2)\:)^ t^h \:data`

Here,

n ⇒ number of terms

Let us find it now.

7, 9, 11, 14, 18, 20, 30, 35

`\sf Median=\sf ((n+1)/(2)\:)^ t^h \:data\\\\\sf Median=\sf ((8+1)/(2)\:)^ t^h \:data\\\\\sf Median=\sf 4.5^ t^h \:data`

In this case, add 4th and 5th data and divide it by 2.

`\sf Median = (14+18)/(2)\\\\ \sf Median = (32)/(2)\\\\\sf Median = 16`

Answer 2

16

Explanation:

To find the median, we find the middle of the data set.

7, 9, 11, 14, 18, 20, 30, 35

There are 8 values

7, 9, 11, 14, 18, 20, 30, 35

The median is between the 4th and 5th numbers

We need to find the mean of the middle two numbers

(14+18)/2 =32/2= 16