Think you’ve got your head wrapped around Quantitative Data and Probability? Put your knowledge to
the test. Good luck — the Stickman is counting on you!
Q. Which of the following is the formula for the expected value?
EV = Σ x2p2
EV = xi pi
EV = x1 + p1 + x2 + p2 + … + xn + pn
EV = x1p1 x2p2 xnpn
EV = x1p1 + x2p2 + … + xnpn
Q. How do we interpret the expected value of an event?
As the expected result from one trial.
As the best outcome of the event.
As the long-term average result.
As the probability of the event occurring.
As about $3.50.
Q. A weighted die is thrown 12 times, giving the following results. From these data, what is the expected value for a single die roll?
| Die Face | Number of times rolled |
| 1 | 0 |
| 2 | 6 |
| 3 | 4 |
| 4 | 0 |
| 5 | 0 |
| 6 | 2 |
12
3
36
0
6
Q. We flip a coin 5 times. What is the expected value for the number of heads.
2
2.5
3
3.5
4
Q. Which summary statistic is most strongly affected by outliers?
Mean
Median
Mode
Standard deviation
Waffle Iron
Q. What is the median of {1, 2, 3, 4, 5, 6, 7}?
3
3.5
4
4.5
5
Q. What is the mean of {2, 3, 5, 6}?
5.33
8
4
4.5
16
Q. A dataset has (x – x) values of 3, 4, and 5. What is the standard deviation?
5
6
25
Q. Which dataset has a mean of 6?
{2, 14, 9}
{2, 7, 7, 9}
{3, 6, 7, 9}
{4, 5, 7, 7}
{2, 6, 7, 9}
Q. Which of the following is NOT true about the standard deviation?
The squared deviations are added together.
It is calculated using the median.
It uses n – 1 in its formula.
It measures the spread of the data.
It is affected by outliers.