Question

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

Answer 1

Answer:

The median of the data in the table is 19.

Step-by-step 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 = $(\frac{n+1}{2} )^{th} \text{ obs.}$

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

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

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

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

                   = $(\frac{5+1}{2} )^{th} \text{ obs.}$

                   = $(\frac{6}{2} )^{th} \text{ obs.}$

                   = 3rd obs. = 19

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