Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results are shown. What is the IQR for each week?

Week 1
81 50 63 58 39 72 104
Week 2
62 54 110 72 68 34 79
A.
The IQR for Week 1 is 65, and the IQR for Week 2 is 76.

B.
The IQR for Week 1 is 63, and the IQR for Week 2 is 68.

C.
The IQR for Week 1 is 50, and the IQR for Week 2 is 54.

D.
The IQR for Week 1 is 31, and the IQR for Week 2 is 25.

User Icon for John John answered
4 years ago

I answered this earlier today.

User Icon for Matt Matt answered
4 years ago

U were wrong

User Icon for PsyDAG PsyDAG answered
4 years ago

What is IQR?

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the IQR (Interquartile Range) for each week, we need to find the values of Q1 and Q3 first.

Step 1: Sort the data in ascending order.
Week 1: 39 50 58 63 72 81 104
Week 2: 34 54 62 68 72 79 110

Step 2: Find Q1 (the lower quartile) and Q3 (the upper quartile).
Q1: The median of the lower half of the data.
Week 1: Q1 = 58
Week 2: Q1 = 54

Q3: The median of the upper half of the data.
Week 1: Q3 = 81
Week 2: Q3 = 79

Step 3: Calculate the IQR.
IQR = Q3 - Q1
Week 1: IQR = 81 - 58 = 23
Week 2: IQR = 79 - 54 = 25

Therefore, the correct answer is D. The IQR for Week 1 is 23, and the IQR for Week 2 is 25.