This is the mean, median, mode, and standard deviation of the data set 1,2,3,5.
What is 2.75 (mean), 2.5 (median), every number is a mode, and 1.7 (standard deviation)
100
A stem and leaf display of 21, 23, 26, 35, 37, 51
What is
2 | 136
3 | 57
5 | 1
The line is one digit to the left of the decimal.
100
The area between any density curve and the horizontal axis.
What is one?
100
The probability that when three coins are flipped, all three are heads.
What is 1/8?
100
This is the probability of being dealt exactly three Kings when given five cards from a deck of 52 at random.
What is (4C3)(48C2)/(52C5) = 0.0017
200
If the first and third quartiles of a data set are 4 and 19, respectively, describe how to detect outliers in this data set.
What is: Use the interquartile range rule. The IQR is 15, so any values farther than 1.5(15)=22.5 away from 4 or 19 would be considered an outlier. So in this case, outliers are values below -18.5 or above 41.5.
200
The differences between a bar graph and a histogram.
What are spaces between the bars (only in bar graphs), bar graphs are for qualititative data, histograms are for quantitative data.
200
This is the definition of a density.
What is the limit of a histogram for a data distribution as the width of the bars becomes smaller and smaller. It describes the shape of the distribution while having a total area equal to one.
200
If the probability of A or B occurring is 0.8, the probability of A occurring is 0.2, and the probability of B occuring is 0.9, this is the probability that both A and B occur.
What is:
P(A and B) = P(A) + P(B) - P(A or B) = 0.2+0.9-0.8 = 0.3?
200
If there are 50 people to be paired up and assigned tennis courts, this is the total number of outcomes.
What is (50C2)(48C2)(46Cs)...(2C2) = 50! / (2^25) = 9.06x10^56
300
This is a data set with mean 5, median 5, mode 6, and range 9.
What is (for example), 1, 3, 4, 4, 6, 6, 6, 10
300
When one would use a pie chart instead of a bar graph.
[Many answers]
300
The Empirical Rule.
What is the rule which says if data is approximately normally distributed, then 68% of it lies within one standard deviation of the mean, 95% within two, and 97.5% within three.
300
If the probability of A or B occurring is 0.6, the probability of A occurring is 0.4, and the probability of B occuring is 0.5, this is the probability that A doesn't occur or B doesn't occur (or possibly both).
What is:
P(Ac or Bc) = 1 - P(A and B) = 1 - (P(A) + P(B) - P(A or B)) = 1 - (0.4+0.5 - 0.6) = 1 - 0.3 = 0.3.
300
This is the probability of being dealt 4 of a kind.
What is 13*48/(52C5) = .00024
400
The three quartiles of the data set 23, 17, 30, 19, 26.
What are 18, 26, and 28?
400
The components of a boxplot.
What are, the median (center line), first and third quartiles (outer edges of box), smallest and largest values (end of whiskers)
400
This is the 97th percentile of test scores if they are normally distributed with average 1100 and standard deviation 300.
What is 1664?
400
Heights are normally distributed with mean 65 inches and variance 16 inches. What is the probability that a randomly selected person is between 66 and 67 inches tall?
What is 0.093?
400
This is the probabilty of being dealt a five of a kind when 2s are wild.
What is 12*(8C5)/(52C5) = 0.00026
500
If the average of a data set containing four numbers is 17 and the value 21 is added to the set, this is the new average.
What is 17.8?
[ (17*4 + 21) / 5 = 17.8 ]
500
The difference between a frequency table and a relative frequency table.
What is in a frequency table, the amount of times a value appears is listed. In a relative frequency table, the proportion is listed instead.
500
If birth weights are normally distributed with mean 7.5lbs and variance 2.3lbs, this is the proportion of babies born over 9lbs.
What is roughly .16?
500
This is an example, if possible, of two events A and B which are independent and whose union has probability 1.
(Many answers)
What is the event A = {1st die is 1,2,3,4,5, or 6} and B = {2nd die is 1,2,3,4,5, or 6} when rolling two dice.
500
There are 50 men and 100 women. Three are selected to give a red, blue, and green ribbon to. What's the probability that a man gets the red ribbon and women get the other two?