Mean Absolute Deviation - Glencoe

C
Test T Practice
56 Domain: Statistics and Probability
NUTRITION For Exercises 17 and 18, refer to the table that shows the number
of Calories in several sandwiches at two restaurants.
Number of Calories per Sandwich
Susan’s Sub Shop The Picnic Basket
490 380 270 430 510 410 550 320 470 430 610 290
17. Find the mean absolute deviation for each set of data. Round to the
nearest hundredth.
18. For either data set, are there any data values that are more than twice the
mean absolute deviation from the mean? Explain.
19. OPEN ENDED Create two sets of data, each with five values, that satisfy
the following conditions.
The mean absolute deviation of Set A is less than the mean absolute
deviation of Set B.
The mean of Set A is greater than the mean of Set B.
CHALLENGE For Exercises 20 and 21, refer to the
Recorded Speeds (mph)
table that shows the recorded speeds of several
35 38 41 35 36 55
cars on a busy street.
20. Calculate the mean absolute deviation both with and without the data
value of 55. Round to the nearest hundredth if necessary.
21. Explain how including the value of 55 affects the mean absolute deviation.
22. REASONING Explain why the mean absolute deviation is calculated using
absolute value.
23. WRITE MATH Write a letter to a classmate explaining how to find the mean
absolute deviation and what it tells you about a set of data.
24. The table shows the prices for parking at
various beaches along the same
coastline.
Beach Parking ($)
2.50 3.75 1.25 2.25 3.00
Which of the following is the mean
absolute deviation for the set of data?
A. $0.25
B. $0.66
C. $2.50
D. $2.55
25. Which of the following is true
concerning the mean absolute deviation
of a set of data?
F. It describes the variation of the data
values around the median.
G. It describes the absolute value of the
mean.
H. It describes the average distance
between each data value and the
mean.
I. It describes the variation of the data
values around the mode.