Samples and Studies
Statistics and Parameters
Distribution of Data
Comparing Sets of Data
Mixed Review
100
A group of students stands at the door of the school and asks every tenth student who they wold vote for in the upcoming class elections and why.
What is an example of unbiased, random sample.
100
Identify the sample and the population. Then describe the sample statistic and the population perimeter. A random sample of 1003 Mercy County voters is asked if they would vote for the incumbent for governor. The percent responding yes is calculated.
What is sample: 1003 voters in Mercy County; population: all voters in Mercy County; sample statistic; the number of people in the sample who would vote for the incumbent candidate; population parameter; the number of people in the county who would vote for the incumbent.
100
Construct a histogram for the data, and use it to describe the shape of the distribution. 77, 61, 72, 65, 69, 92, 63, 89, 64, 86, 64, 74, 65, 71, 87, 66
What is positively skewed
100
Find the mean, median, mode, range, and standard deviation of each data set that is obtained after the given operation. 10, 13, 9, 8, 15, 8, 13, 12, 7, 8, 11, 12; add (-7)
What is 3.5, 3.5, 1, 8, 2.4
100
Find the mean, median, lower, and upper quartiles {15, 23, 46, 36, 15, 19}
What is 31, 21, 15, 36
200
Every fifth shopper at a clothing store is asked what they would want most for their birthday.
What is biased, shoppers at a clothing store are more likely to say clothes.
200
Identify the sample and the population. Then describe the sample statistic and the population perimeter. A stratified random sample of 1000 college students in the United States is surveyed about how much money they spend on books per year.
What is sample: 1000 college students; population: college students in the United States; sample statistic: mean of the money spent on books in a year by the sample; population parameter: mean of money spent on books by all college students in the U.S.
200
Describe the center ad spread of the data using either the mean and standard deviation or the five-number summary. Justify your choice by constructing a box-and-whisker plot for the data. 17, 50, 46, 49, 18, 27, 20, 29, 45, 42, 30, 53, 32, 54, 33, 39, 36, 40
What is symmetric, so use the mean and standard deviation. Mean is about 36.7 and the standard deviation is
200
Find the mean, median, mode, range, and standard deviation of each data set that is obtained after the given operation. 38, 36, 37, 42, 31, 44, 37, 45, 29, 42, 30, 42; add 23
What is 60.8, 60.5, 65, 16, 5.5
200
Find the degree of this polynomial. 7x + 11
What is 1
300
Identify the sample, suggest a population and classify the sample. At a bridal shower, a sticker was placed on the bottom of three random plates. The guests who received the stickered plates will win a prize.
What is sample: the guests who received the stickered plates; population: all of the guests; simple: all of the guest have an equal chance of receiving a stickered plate.
300
A math teacher asked all of his 1st period students to count the number of DVDs they owned. Find the absolute deviation. 26, 39, 42, 19, 29, 14, 2, 11, 6, 22
What is 10.6
300
Describe the center ad spread of the data using either the mean and standard deviation or the five-number summary. Justify your choice by constructing a box-and-whisker plot for the data. 73, 48, 64, 49, 55, 68, 50, 49, 59, 82, 84, 54, 65, 53, 70, 59, 71, 58
What is distribution is skewed, so use the five-number summary. The minimum is 48, the maximum is 84, the median is 59, and half of the data is between 53 and 70.
300
Find the mean, median, mode, range, and standard deviation of each data set that is obtained after the given operation. 6, 10, 3, 7, 4, 9, 3, 8, 5, 11, 2, 1; multiply by 3
What is 17.3, 16.5, 9, 30, 9.4
300
Factor this polynomial 32 + x^2 - 12x
What is (x - 8)(x - 4)
400
Identify the sample, suggest a population and classify the sample. Mr. Peterson surveys the students in his English classes to gauge the student body's interest in forming a book club.
What is sample: the students in Mr. Peterson's classes; population; the whole student body; convenience: Mr. Peterson is only surveying his students that he sees everyday.
400
The owner of a public swimming pool tracked the daily attendance. Find the standard deviation. 111, 85, 79, 102, 166, 103, 89, 79, 48, 88
What is 28.83
400
The length of the students' presentations in Ms. Monroe's 2nd period class are shown. Describe the center and spread of the data using either the man and standard deviation or the five-number summary. Justify your choice by constructing a box-and-whisker plot for the data. 20, 18, 15, 17, 18, 10, 15, 10, 18, 19, 17, 19, 12, 6, 19, 15, 21, 10, 9, 18
What is distribution is skewed, so use the five-number summary. The range is 21 - 6 or 15, The median time is 17, and half of the times are between 11 and 18.5 minutes.
400
The total amount of money that a sample of students spent to attend the homecoming dance is shown. Boys ($) - 114, 98, 131, 83, 91, 64, 94, 77, 96, 105, 72, 108, 87, 112, 58, 126 Girls ($) - 124, 74, 105, 133, 85, 162, 90, 109, 94, 102, 98, 171, 138, 89, 154, 76 Create a box-and-whisker plot for each set of data. Then describe the shape of each distribution.
What is boys = symmetric; girls = positively skewed.
400
Find the inverse of this function. f(x) = 2x - 14
What is the inverse function of x = 1/2x + 7
500
Identify the experiment as biased or unbiased, and explain. The manger of a band wants to see if a light show will improve their concerts. For the final date of the band's tour in their hometown, they perform while doing the light show. Than manager then compares the reviews of this concert with the reviews of the rest of the tour.
What is biased, the band did the light show in their hometown.
500
Mr. Jones recorded the number of pull-ups done by his students. Compare the mean and standard deviations of each group. 1st. period {5, 16, 3, 8, 4, 12, 2, 15, 0, 1, 9, 3} 2nd. period {2, 4, 0, 3, 5, 4, 6, 1, 3, 8, 3, 4}
What is 1st period had a mean of 6.5 pull-ups with a standard deviation of about 5.2 pull-ups. The 2nd period class had a man of 3.6 pull-ups with a standard deviation of about 2.1 pull-ups. The 1st period class had a higher average, but there was much more variability in the data set.
500
The prices for entrees at restaurant are shown. The owner of the restaurant decides to eliminate all the entrees that cost more than $15. Create a box-and-whisker plot that reflects the original prices and the change after the $15 items are cut. 9.00, 11.25, 16.50, 9.50, 13.00, 18.50, 7.75, 11.50, 13.75, 9.75, 8.00, 16.50, 12.50, 10.25, 17.75, 13.00, 10.75, 16.75, 8.50, 11.50
What is the original distribution is skewed, with a range of $18.50 to $7.75 or $10.75. The median price is $11.50, and half of the prices are between $9.63 and $15.13. After the change, the distribution is symmetric. The mean is about $10.67 with a standard deviation of about $1.84.
500
The total amount of money that a sample of students spent to attend the homecoming dance is shown. Boys ($) - 114, 98, 131, 83, 91, 64, 94, 77, 96, 105, 72, 108, 87, 112, 58, 126 Girls ($) - 124, 74, 105, 133, 85, 162, 90, 109, 94, 102, 98, 171, 138, 89, 154, 76 Compare the data set using either the means and standard deviations or the five-number summaries.
What is the maximum boys is $131, while the UQ of the girls is $135.50. This means that 25% of the data from the girls is greater than all of the data from the boys. We can than conclude that the girls spend more money on the dance than the boys.
500
Find the value of x for a rectangle with an Area of 45 square inches. The length is (x + 7) and the width is (x + 3)
What is 2
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