20.7k views
2 votes
What is the interquartile range? 72, 75, 81, 76, 76, 77, 79, 78

User Glyphack
by
8.4k points

1 Answer

5 votes

Answer:

3

Explanation:

Find the median (Q2), which is the middle value of the data set:

Median (Q2) = (76 + 77) / 2 = 76.5

Split the data into two halves:

Lower half: 72, 75, 76, 76

Upper half: 78, 79, 81

Find the median (Q1) of the lower half:

Q1 = (75 + 76) / 2 = 75.5

Find the median (Q3) of the upper half:

Q3 = (78 + 79) / 2 = 78.5

Now, you can calculate the IQR:

IQR = Q3 - Q1 = 78.5 - 75.5 = 3

So, the interquartile range (IQR) for the given data set is 3.

User Millikan
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.