High School Math : Basic Statistics
Study concepts, example questions & explanations for High School Math
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Example Questions
Example Question #1 : How To Identify Characteristics Of A Normal Distribution
Which of the following populations has a precisely normal distribution?
A normal distribution is one in which the values are evenly distributed both above and below the mean. A population has a precisely normal distribution if the mean, mode, and median are all equal. For the population of 3,4,5,5,5,6,7, the mean, mode, and median are all 5.
Example Question #2 : How To Identify Characteristics Of A Normal Distribution
If a population has a normal distribution, the number of values within one positive standard deviation of the mean will be . . .
at least 40% of all values in the population
fewer than 20% of all values in the population
equal to the number of values within two negative standard deviations of the mean
fewer than the number of values within one negative standard deviation of the mean
equal to the number of values within one negative standard deviation of the mean
equal to the number of values within one negative standard deviation of the mean
In a normal distribution, the number of values within one positive standard deviation of the mean is equal to the number of values within one negative standard deviation of the mean. The reason for this is that the values below the population mean exactly parallel the values above the mean.
Example Question #1 : How To Find Z Scores For A Data Set
What is the 
A 
Example Question #1 : Basic Statistics
A value has a 
two standard deviations from the population mean
below the population mean
one standard deviation from the population mean
the same as the population mean
above the population mean
below the population mean
The 
Example Question #1 : Z Distribution
A population of values has a mean of 43 and a standard deviation of 12. One of the values in the population is 49. What is the Z-score for that value?
A Z-score indicates whether a particular value is typical for a population or data set. The closer the Z-score is to 0, the closer the value is to the mean of the population and the more typical it is. The Z-score is calculated by subtracting the mean of a population from the particular value in question, then dividing the result by the population's standard deviation.
Example Question #1 : Dependence And Independence
In a standard deck of cards, with replacement, what is the probability of drawing two Ace of Hearts?
Probability of drawing first ace of hearts:
Probability of drawing second ace of hearts:
Multiply both probabilities by each other:
Example Question #2 : Basic Statistics
In a standard deck of cards, without replacement, what is the probability of drawing three kings?
Start with 52 cards, probability of drawing first king:
Now you have 51 cards. Probability of drawing second king:
Now you have 50 cards. Probability of drawing third king:
Multiply all probabilities:
Example Question #1 : Identifying Variables And Relationships
With a standard deck of cards, what is the probability of picking a spade then a red card if there is no replacement?
In a standard deck of cards:
Example Question #2 : Probability
Using a standard deck of cards, what is the probability of choosing a single face card?
There are 
Thus the probability of choosing a single face card is 
Example Question #1 : How To Use Boxplots To Summarize A Data Set
The horizontal line in the box of the box and whisker plot represents _____________.
Median
Range
Mode
Interquartile range
Mean
Median
A box and whisker plot separates the data into quartiles so that each quartile has an equal number of data points. The box indicates the interquartile range, that is, the top line of the box is the third quartile and the bottom line of the box is the second quartile. The line separating the second and third quartiles indicates the median. The lines outside of the box indicate the outer-quartiles (first and fourth).
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