What is the Interquartile Range for the following data set?
(5,6,7,3,9,8,3,1, 6, 7,7}
IQR:

IQR = 4

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile.

The first step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order.

Arranging the data in ascending order

1 , 3 , 3 , 5 , 6 , 6 , 7 , 7 , 7 , 8 , 9

                        ↑ median is 6

The upper quartile is the middle value to the right of the median

7 , 7 , 7 , 8 , 9

         ↑ upper quartile is 7

The lower quartile is the middle value to the left of the median

1 , 3 , 3 , 5 , 6

         ↑ lower quartile is 3

Thus

Interquartile range = 7 - 3 = 4

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: