- Find the mean, median, and mode of the given set of raw data. (If more than one mode exists, separate your answers with commas. If an answer does not exist, enter DNE.)
| 20 | 25 | 18 | 30 | 21 | 25 | 34 | 27 |
| 34 | 35 | 19 | 26 | 38 | 31 | 20 | 23 |
Mean: _______
Median: _______
Mode: _______
- Find the mean, median, and mode of the given set of raw data. (If more than one mode exists, separate your answers with commas. If an answer does not exist, enter DNE.)
| 0.07 | 0.02 | 0.09 | 0.03 | 0.10 | 0.08 | 0.07 | 0.13 |
| 0.05 | 0.03 | 0.10 | 0.07 | 0.03 | 0.01 | 0.11 | 0.08 |
Mean: _________
Median: _________
Mode: _________
- A cyclist won a bicycle race for seven consecutive years. His “winning” times and “victory” margins (time difference of the second place finisher) are given in the figure below.
| Year | Time (h:m:s) | Margin (m:s) |
| 1999 | 91:32:11 | 7:38 |
| 2000 | 92:33:01 | 6:01 |
| 2001 | 86:17:23 | 6:43 |
| 2002 | 82:05:19 | 7:16 |
| 2003 | 83:41:19 | 1:09 |
| 2004 | 83:36:07 | 6:12 |
| 2005 | 86:15:07 | 4:20 |
(a) Find the mean, median and mode of the cyclist’s times. (If an answer does not exist, enter DNE.)
Mean: ________ : _________ : __________ h:m:s
Median: ________ : _________ : __________ h:m:s
Mode: ________ : _________ : __________ h:m:s
(b) Find the
mean, median and mode of the cyclist’s margins. (If an answer does not exist,
enter DNE.)
Mean: ________ : __________ : _________ m:s
Median ________ : __________ : _________ m:s
Mode: ________ : __________ : _________ m:s
- Katrina must take five exams in a math class. If her scores on the first four exams are 70, 67, 84, and 82, what score does she need on the fifth exam for her overall mean to be the following?
(a)
at least 70
_________
(b) at least 80
_________
(c) at least 90
_________
- Paki surveyed the price of unleaded gasoline (self-serve) at gas stations in Novato and Lafayette. The raw data, in dollars per gallon, are given in the following table.
| Novato | 2.899 | 3.089 | 3.429 | 2.959 | 2.999 | 3.099 |
| Lafayette | 3.589 | 3.379 | 3.199 | 3.199 | 3.549 | 3.339 |
(a) Find the mean price in each city. (Round your answers to three decimal places.)
| Novato | $ |
| Lafayette | $ |
Which city has
the lowest mean? Choose one.
-Novato
-Lafayette
(b) Find the standard deviation of prices in each city. (Round your answers to three decimal places.)
| Novato | $ |
| Lafayette | $ |
(c)
Which city has more consistently priced gasoline? Why? Choose one.
-The gas in Lafayette is more consistently priced because it has a smaller mean.
-The gas in Novato is more consistently priced because it has a smaller standard deviation.
-The gas in Novato is more consistently priced because it has a smaller mean.
-The gas in Lafayette is more consistently priced because it has a smaller standard deviation.
- A basketball player’s average number of points per game (PPG) for each
of his seasons is given in the table below. Find the sample standard deviation
of the average points per game made per season by the basketball player. (Round
your answer to one decimal place.)
________PPG
| Season PPG 1984-85 31.0 1985-86 31.8 1986-87 21.0 1987-88 35.9 1988-89 21.5 1989-90 33.4 1990-91 26.0 1991-92 28.5 | Season PPG 1992-93 21.1 1994-95 21.3 1995-96 20.4 1996-97 37.3 1997-98 33.0 2001-02 27.4 2002-03 24.3 |
