D e te rm in e w hich d a ta se t h a s a g re a te r m e a n a n d a g re a te r m e d ia n. See P rob lem s 4 and 5.
20. Com pany A
X X
X X X X
X X X X X X
50 51 52 53 54 55
M ont hly Earnings
(t housands of dollars)Co m p a n y B
XXX
XXX
X X X X X X
50 51 52 53 54 55
M ont hly Earning s
(t housands of dollars)- St u d e n t A St u d e n t B
X
XX
X
X
XX
X
X
X
XX
X
X
X
XX X X X X X
X X X X X X X X
X X X X X X
X X X X X X X X
X X X X X X X
X X X X X XX
X
X
30 31 32 33 34 35
Text M essag es per DayWidth of Steel (mm)30 31 32 33 34 35
Text M essag es p er Day- Reasoning The mean of a data set is 7.8, the mode is 6.6, and the median is 6.8.
What is the least possible number of data values in the set? Explain.
032^ 23. Manufacturing Two manufacturing plants make
sheets of steel for medical instruments. The back-
to-back stem-and-leaf plot at the right shows data
collected from the two plants.
a. What are the mean, median, mode, and range of
each data set?
b. Which measure of central tendency best describes
each data set? Explain.
c. How can you use the shape of the back-to-back
stem-and-leaf plot to determine which data set
has the greater mean? Explain.
12 4. T h i n k A b o u t a P l a n The diameters of 5 circles are
given below. What are the mean, median, mode, and
range of the circumferences of the circles?
6.5 in. 3.2 in. 7.4 in. 6.5 in. 5.8 in.
- What are the mean, median, mode, and range of the diameters?
- How do the mean, median, mode, and range change when the data change from
diameters to circumferences?
- Reasoning How does subtracting the same amount from each value in a data set
affect the mean, median, mode, and range? Explain. - Reasoning How does dividing each value in a data set by the same nonzero
amount affect the mean, median, mode, and range? Explain.
Manufacturing Manufacturing
Pl an t A Pl an t B
4 3 5 9
8 7 4 4 2 5 2 7
4 3 1 6 3 4
72
Key: -cr—*~6 | 3 means 6.3
1 | 6 | 3
1 6 m e a n s 6. 1 -<— ^