Question

Hannah sells computers. The amount of her monthly sales for the first half of the year are listed below:

Find the mean, median and mode for her monthly sales. Show your work.
January - $14,000
February - $18,000
March - $13,000
April - $19,000
May - $21,000
June - $14,000

Answer 1

Mean = $16,500

Mode = $14,000

Median = $16,000

Explanation:

Mean: We add all the numbers together and divide by 6 but this isn't the mean as we have to factor out and get it to the correct number. Therefore we will do the following.

14000+18000+13000+19000+21000+14000 / 6 Cancel the common factors

factor 2 out of everything

2(7000+9000+6500+9500+10500+7000) / 6

we get rid of the 2 and the 6 by factoring them out. so we now get

7000+9000+6500+9500+10500+7000 / 3

Now we add the numbers together and divide by 3

49500 / 3 = $16,500

Mode: This is easy as there is only 1 number that appears more then 1 time and therefore is 14,000

Median = we arrange the numbers from smallest to largest and find the center number. since there are an even number we will take the 2 center numbers and add them together and divide by 2.

13000, 14000, 14000, 18000, 19000, 21000

So we will take 14000 and 18000 and add them together then divide by 2.

14000 + 18000 = 32000/2 = $16,000