Marco is analyzing sales data from the week and writes down the numbers shown
10,12,15,6,20,13,17
what is the interquartile range ?
10 Put the data in order
6 7 10 12 13 15 17 20
Median is 12.5
Quartiles are 1/2 way between the
median and the ends of the data.
The first quartile is between 7 and 10 so that is 17/2 = 8.5
The third quartile is between 15 and 17 which is 16.
The interquartile range is 16-8.5 = 7.5
There is no 7, I'm sorry, but where did you get seven? I'm confused.
To find the interquartile range, you need to follow a few steps:
Step 1: Arrange the given numbers in ascending order:
6, 10, 12, 13, 15, 17, 20
Step 2: Find the first quartile (Q1) and the third quartile (Q3).
Q1 represents the median of the lower half of the data, and Q3 represents the median of the upper half of the data.
To find Q1 and Q3, you can use the formula:
Q1 = (n + 1) / 4
Q3 = 3 * (n + 1) / 4
Where n is the number of data points.
In this case, n = 7. Therefore,
Q1 = (7 + 1) / 4 = 2
Q3 = 3 * (7 + 1) / 4 = 6
Step 3: Calculate the interquartile range.
The interquartile range (IQR) is the difference between Q3 and Q1.
In this case, IQR = Q3 - Q1 = 6 - 2 = 4.
Therefore, the interquartile range is 4.