Question

Data Set: 5, 8, 10, 10, 15, 18, 23. What is the IQR of this data set?

Answer 1

Answer 10

Step-by-step explanation:

We need to first place the numbers in order from least to greatest.

5, 8, 10, 10, 15, 18, 23.

Now we find the median. The median is 10 (I put the ten in brackets so you know which one I'm talking about).

5, 8, 10, [10] , 15, 18, 23

Now we take out the median.

5, 8, 10, 15, 18, 23

Now we find the median of the lower portion. I put the lower portion in brackets so you could see it better.

[5, 8, 10,] 15, 18, 23

The median of the lower portion is 8.

Now we find the median of the upper portion. I put in brackets so you could see it better.

5, 8, 10, [15, 18, 23]

The median of the upper portion is 18.

Now all we have to do is find the difference between the two numbers.

18-8=10 10 is the IQR

Hope this helps and it wasn't very confusing.

Answer 2

Answer:

10

Step-by-step explanation:

Find the median:

(5, 8, 10, 10, 15, 18, 23)

Then, find the medians between the median and the sides.

(5, 8, 10, 10, 15, 18, 23)

Last, find the difference between Q3 and Q1,

18

-8

10

Finally, the IQR is 10