Question

What is the interquartile range of the data set?

{48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}

Answer 1

The interquartile range (IQR) of the data set {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45} is calculated by ordering the data, finding the quartiles (Q1 and Q3), and subtracting Q1 from Q3, which gives an IQR of 15.

Step-by-step explanation:

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) of a data set, representing the spread of the middle 50 percent of the data. To calculate the IQR of the given data set {48, 50, 65, 60, 80, 42, 45, 50, 42, 55, 45}, we first need to order the data set from smallest to largest and then find the quartiles.

1. Order the data set: {42, 42, 45, 45, 48, 50, 50, 55, 60, 65, 80}
2. Find the median (Q2), which is the middle value: 50.
3. Divide the data into two halves at the median. The first half is {42, 42, 45, 45, 48}, and the second half is {50, 55, 60, 65, 80}.
4. Find Q1, which is the median of the first half: 45, and Q3, which is the median of the second half: 60.
5. Calculate the IQR: IQR = Q3 - Q1 = 60 - 45 = 15.

The interquartile range for this data set is 15.

Answer 2

The answer would ether be 16.5 or 10. Sorry, I'm not sure haven't done interquartile range in a little while.