Home Library Statistics Portfolio
MATH 7 B: DISPLAYING AND ANALYZING DATA UNIT
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: 15
Find the mode of your data.
The mode of the data set is 384 pages, as two books have this same amount of pages, which is the highest frequency in the set.
Home Library Statistics Portfolio
MATH 7 B: DISPLAYING AND ANALYZING DATA UNIT
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: 495
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: 15
Find the mode of your data.
The mode of the data set is 384 pages, as one book has this amount of pages, which is the highest frequency in the set.
Home Library Statistics Portfolio
MATH 7 B: DISPLAYING AND ANALYZING DATA UNIT
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: 495
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: 15
Find the range of your data.
The range of the data set is 471, calculated by subtracting the smallest value (15) from the largest value (495).
Home Library Statistics Portfolio
MATH 7 B: DISPLAYING AND ANALYZING DATA UNIT
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: 495
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: 15
Find the interquartile range (IQR) of your data.
To find the IQR, we first need to find the median of the data set:
Arranging the data set in order:
15, 22, 24, 31, 33, 45, 59, 64, 88, 144, 171, 256, 273, 384, 495
The median is the middle value of the set, which in this case is between 45 and 59. So, we take the average of these two values and get:
45 + 59 = 104
104 ÷ 2 = 52
The median of the data set is 52.
Next, we find the median of the lower half of the data set (values less than or equal to 52):
15, 22, 24, 31, 33, 45, 59
The median of this set is 31.
Then, we find the median of the upper half of the data set (values greater than or equal to 52):
144, 171, 256, 273, 384, 495
The median of this set is 264.5, which is the average of the middle two values (256 and 273).
Finally, we take the difference between the upper and lower quartiles:
IQR = 264.5 - 31
IQR = 233.5
Therefore, the IQR of the data set is 233.5.
Home Library Statistics Portfolio
MATH 7 B: DISPLAYING AND ANALYZING DATA UNIT
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: 495
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: 15
Find the mean absolute deviation (MAD) of your data.
To find the mean absolute deviation, we first need to find the mean of the data set:
Mean = (256 + 384 + 31 + 24 + 495 + 64 + 45 + 33 + 22 + 59 + 144 + 273 + 171 + 88 + 15) ÷ 15
Mean = 1327 ÷ 15
Mean = 88.47
Next, we subtract the mean from each value in the dataset, take the absolute value of each difference, and find the mean of the resulting values:
|256 - 88.47| = 167.53
|384 - 88.47| = 295.53
|31 - 88.47| = 57.47
|24 - 88.47| = 64.47
|495 - 88.47| = 406.53
|64 - 88.47| = 24.47
|45 - 88.47| = 43.47
|33 - 88.47| = 55.47
|22 - 88.47| = 66.47
|59 - 88.47| = 29.47
|144 - 88.47| = 55.53
|273 - 88.47| = 184.53
|171 - 88.47| = 82.53
|88 - 88.47| = 0.47
|15 - 88.47| = 73.47
MAD = (167.53 + 295.53 + 57.47 + 64.47 + 406.53 + 24.47 + 43.47 + 55.47 + 66.47 + 29.47 + 55.53 + 184.53 + 82.53 + 0.47 + 73.47) ÷ 15
MAD = 1027.95 ÷ 15
MAD ≈ 68.53
Therefore, the mean absolute deviation of the data set is approximately 68.53.
Home Library Statistics Portfolio
MATH 7 B: DISPLAYING AND ANALYZING DATA UNIT
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: 495
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: 15
Is your Home Library Statistics data a random sample? Why or why not? Give
as many details as possible