Answer: D.The IQR for week 1 is 31 and the IQR for week 2 is 25
Step-by-step explanation: When you divid a data set in groups of 4 and measure the bulk of the values, this is called Interquatile Range (IQR).
It's calculated as follows:
1) Put the data in order;
week 1 : 39 50 58 63 72 81 104
week 2 : 34 54 62 68 72 79 110
2) Find the median of each data set:
*Note: Median is the middle value of a set.
week 1 : Median 63
week 2 : Median 68
3) Find Q1, which is the median in the lower half of the set:
week 1: the lower set is 39 50 58.
The middle value is 50.
So Q1 = 50.
week 2: the lower set is 34 54 62
The middle value is 54.
So Q1 = 54.
4) Find Q3, which is the middle value of the upper half:
week 1 : the upper half is 72 81 104
Q2 = 81
week 2 : the upper half is 72 79 110
Q2 = 79
5) To determine IQR, subtract Q1 and Q3:
week 1: 81 - 50 = 31
week 2 : 79 - 54 = 25
In conclusion, the IQR for week 1 is 31 and for week 2 is 25.
