Key Terms
What is a number that represents a property of the sample?
Statistic
What kind of data is this?: Numbers of chairs in class
Quantitative discrete data
What is the stem and leaf of this number?: 6.8
stem 6 and leaf 8
What are used to measure the center of the data?
Mean, median, mode
What is the notation for this?: A AND B
A ∩ B
What is the ratio of number of times a value of the data occurs in the set of all outcomes to the total number of outcomes?
Relative frequency
If you take every nth piece of data from the population for a sample, what kind of sampling method is this?
Systematic sample
7.3 is the value with most decimal places and a smallest value. To construct a histogram, what would the convenient starting point be?
7.25
James participated in a race. His speed is the 40th percentile of all the runners in the race. The 40th percentile of speeds in a particular race is 7.5 miles per hour. What is the correct interpretation in this context?
40% of the people ran 7.5 mph or slower and other 60% of the people ran 7.5 mph or faster than the 40th percentile.
What is the equation that shows there is nothing in common between events A and B?
P(A∩ B)=0
What are the numbers that divide an ordered data set into four equal parts?
Quartiles
What chart/graph can you use to show data that add up to more than 100%?
How can you find the width of the interval for the histogram?
(convenient starting point-ending value)/number of bars
In a sample of 60 households, one house is worth $2,500,000. Twenty-nine houses are worth $280,000, and all the others are worth $315,000. Which is the better measure of the “center”: the mean or the median? Why?
The median, because there is an outlier of $2,500,000 and the rest are numbers of a similar range. The $315,000 can be used as a center of the data.
See the table and answer the following:
Find P(musician is a man ∩ had private instruction).
15/130
Sample mean is a good _________ of the ________________ when sample is truly taken random.
estimate, population mean
What kind of data is this?: the weights of the soups
Suppose you want to study the temperature range of a region for an entire month, what graph do you use?
Time series graph
What is the equation to find the percentile of a value? What do the variables represent?
(x+0.5y)/n x 100
x = the number of data values from the bottom of the data list up to but not including the data value for which you want to find the percentile
y = the number of data values equal to the data value for which you want to find the percentile
n = total number of data
See the table and answer the following:
Find P(musician is a woman ∪ is self taught).
91/130
If each member of a population is replaced after it is picked, then that member has the possibility of being chosen more than once. What do you call this?
Sampling without replacement
What kind of sampling method is used here?
The first year, sophomore, junior, and senior years are numbered one, two, three, and four, respectively. A random number generator is used to pick two of those years. All students in those two years are in the sample.
Cluster sample
Construct a frequency polygon with the given table of data.
answer on slide
Listed are 29 ages for Academy Award winning best actors in order from smallest to largest. : 18; 21; 22; 25; 26; 27; 29; 30; 31; 33; 36; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77
Find the percentile for 58.
64th percentile
Suppose there are four red pencils and three yellow pencils in a box. Two pencils are drawn from the box without replacement. Draw a tree diagram that represents this situation, and label the outcomes and probabilities.
answer on slide