The EPA has determined that the number of cars sold is related to the amount of air pollution in a city. The table below shows the number of cars sold

each month last year. What is the median of the data in
the table?
Jan 25
feb 15
mar 22
april 19
may 16
june 13
july 19
august 25
september 26
oct 27
nov 28
dec 29

1 answer

To find the median of the data, we first need to organize the numbers of cars sold in ascending order. Here are the values sorted from the table:

  • January: 25
  • February: 15
  • March: 22
  • April: 19
  • May: 16
  • June: 13
  • July: 19
  • August: 25
  • September: 26
  • October: 27
  • November: 28
  • December: 29

Now let's put these numbers in order:

  1. 13
  2. 15
  3. 16
  4. 19
  5. 19
  6. 22
  7. 25
  8. 25
  9. 26
  10. 27
  11. 28
  12. 29

Since there are 12 values (an even number), the median will be the average of the 6th and 7th values in the ordered list.

The 6th value is 22 and the 7th value is 25.

Median = (22 + 25) / 2 = 47 / 2 = 23.5

Therefore, the median of the data is 23.5.