Question

The table below shows the number of cars Jing sold each month last year.

What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answer 1

The median of the data in the table is 19.

Explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

• If n is odd, then the formula for calculating median is given by;

Median =
`((n+1)/(2) )^(th) \text{ obs.}`

• If n is even, then the formula for calculating median is given by;

Median =
`\frac{((n)/(2) )^(th) \text{ obs.} + ((n)/(2)+1 )^(th) \text{ obs.} }{2}`

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median =
`((n+1)/(2) )^(th) \text{ obs.}`

=
`((5+1)/(2) )^(th) \text{ obs.}`

=
`((6)/(2) )^(th) \text{ obs.}`

= 3rd obs. = 19

Hence, the median of the data in the table is 19.