Be sure to save this worksheet and use it in the lessons that include instructions for your unit portfolio. Follow the directions in the lessons to complete each component of your project. Complete each part of the analysis when prompted in a lesson. Submit the complete analysis at the end of the unit. Data Set: Number of Pages in the Selected Books
pages in book 1: 256
pages in book 2: 384
pages in book 3: 31
pages in book 4: 24
pages in book 5: 384
pages in book 6: 64
pages in book 7: 45
pages in book 8: 33
pages in book 9: 22
pages in book 10: 59
pages in book 11: 144
pages in book 12: 273
pages in book 13: 171
pages in book 14: 88
pages in book 15: 210
Find the interquartile range (IQR) of your data.
To find the interquartile range (IQR), we first need to find the median (Q2) of the data set.
Arranging the data set in order:
22, 24, 31, 33, 45, 59, 64, 88, 144, 171, 210, 256, 273, 384, 384
The median is the middle value, which is:
Q2 = (45 + 59) / 2 = 52
Next, we need to find the median of the lower half of the dataset (Q1) and the median of the upper half of the dataset (Q3).
The lower half of the dataset is:
22, 24, 31, 33, 45, 59
The median of the lower half is:
Q1 = (31 + 33) / 2 = 32
The upper half of the dataset is:
64, 88, 144, 171, 210, 256, 273, 384, 384
The median of the upper half is:
Q3 = (256 + 273) / 2 = 264.5
Finally, we can find the interquartile range (IQR) by subtracting Q1 from Q3:
IQR = Q3 - Q1 = 264.5 - 32 = 232.5
Therefore, the interquartile range (IQR) of the data set is 232.5.