The Great Quartile Showdown

Quartile Concepts

100

Which quartile represents the median?

Q₂

200

Which quartile represents 25% of the data?

Q₁

300

How much percent of data lies below Q₃?

75%

400

How much percent of data lies between Q₁ and Q₃?

50%

500

What is the formula for interquartile range?

IQR = Q₃ − Q₁

Finding the Position

100

Find the position of Q₁ if n = 7.

2nd position

200

Find the position of Q₃ if n = 11.

9th position

300

Find the position of Q₂ if n = 15.

8th position

400

Find Q₁ position if n = 9.

3rd position

500

Find Q₃ position if n = 13.

10th position

Compute Q₁, Q₂, Q₃

100

2, 4, 6, 8, 10
Find Q₂.

6

200

1, 3, 5, 7, 9
Find Q₁.

3

300

3, 6, 9, 12, 15, 18, 21
Find Q₃.

18

400

5, 8, 10, 12, 15, 18, 20, 22, 25
Find Q₁.

10

500

4, 7, 9, 11, 13, 16, 18, 20, 22, 25, 27

Find the lower and upper quartile.

Q₁ = 9, Q₃ = 22

Challenge Round

100

100:
True or False: Q₂ is always equal to the median.

True

200

200:
If Q₁ = 10 and Q₃ = 30, what is the IQR?

20

300

300:
If n = 10, what is the position of Q₂?

6th position

400

Data: 6, 9, 12, 15, 18, 21, 24, 27
Find Q₂.

18

500

Data: 18, 5, 12, 9, 21, 6, 15, 3
Before finding the quartiles, what must be done to this data set?

arranged in ascending order