Question

IF ANYONE COULD ANWSER THIS IT WOULD BE GREAT:D
The data represents the miles per gallon (mpg) for vehicles manufactured by a company in the past five years. Find the inter-quartile range of the data. Data: 28.7, 25.5, 21.8, 21.6, 20.5, 16.7, 16.3, 15.4, 13.9.


6.4

7.8

5.5

10.1

Answer 1

The first step is to order the data from lowest to highest values from left to right. Can you do that?

Answer 2

yes! i can do that!

Answer 3

13.9,15.4,16.3,16.7,20.5,21.6,21.8,25.5,28.7

Answer 4

The median value (the middle data item) is 20.5. There are now two subsets as follows:
{13.9, 15.4, 16.3, 16.7} and {21.6, 21.8, 25.5, 28.7}. The quartiles are the medians of these two subsets, which in these two cases is the value half way between the two either side of the middle.
lower quartile = (15.4 + 16.3)/2= 15.85
upper quartile = (21.8 + 25.5)/2 = 23.65
The interquartile range is the difference between the upper and lower quartiles. Can you find it now?

Answer 5

is it 7.8?

Answer 6

You are correct!

Answer 7

thanks sooo much!!

Answer 8

You're welcome :)