What is the median of the seven data values shown?
What is the median of the seven data values shown?
4, 10, 18, 4, 4, 5, 6, 5
What is the median of the data set shown?
What is the median of the seven data values shown?
The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the following statements must be true?
Ages of 20 Students Enrolled in a College Class
The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?
The bar graph summarizes the charge, in kilowatt-hours
(kWh), a battery received each day for 15 days.
For how many of these 15 days did the battery receive a charge of
4, 4, 4, 8, 8, 8, 13, 13
Which frequency table correctly represents the data listed?
A.
Number | Frequency |
|---|---|
4 | 4 |
8 | 3 |
13 | 2 |
B.
Number | Frequency |
|---|---|
4 | 4 |
3 | 8 |
2 | 13 |
C.
Number | Frequency |
|---|---|
4 | 16 |
8 | 24 |
13 | 26 |
D.
Number | Frequency |
|---|---|
16 | 4 |
24 | 8 |
26 | 13 |
Data value | Frequency |
|---|---|
6 | 3 |
7 | 3 |
8 | 8 |
9 | 8 |
10 | 9 |
11 | 11 |
12 | 9 |
13 | 0 |
14 | 6 |
The frequency table summarizes the 57 data values in a data set. What is the maximum data value in the data set?
The bar graph shows the distribution of the number of students in each of four extracurricular activities at a high school.
How many more students are in drama than in chess?
Data set A: 72, 73, 73, 76, 76
Data set B: 61, 64, 74, 85,
Data set A and data set B each contain 5 numbers. If the mean of data set A is equal to the mean of data set B, what is the value of
For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this information?
The results of two independent surveys are shown in the table below.
Men's Height
Group | Sample size | Mean (centimeters) | Standard deviation (centimeters) |
|---|---|---|---|
A | 2,500 | 186 | 12.5 |
B | 2,500 | 186 | 19.1 |
Which statement is true based on the table?
The bar graph shows the distribution of the number of walnuts per container for 20 containers at a grocery store.
How many of these containers of walnuts contain exactly 78 walnuts?
15, 14, 18, 17,
The mean and the median of the five numbers above are equal. Which of the following is NOT a possible value of
A data set consists of 173 colors. The bar graph shows the number of times each color appears in the data set. Which color appears 70 times?
Data set A consists of 10 positive integers less than 60. The list shown gives 9 of the integers from data set A.
43, 45, 44, 43, 38, 39, 40, 46, 40
The mean of these 9 integers is 42. If the mean of data set A is an integer that is greater than 42, what is the value of the largest integer from data set A?
Value | Data set A frequency | Data set B frequency |
|---|---|---|
30 | 2 | 9 |
34 | 4 | 7 |
38 | 5 | 5 |
42 | 7 | 4 |
46 | 9 | 2 |
Data set A and data set B each consist of 27 values. The table shows the frequencies of the values for each data set. Which of the following statements best compares the means of the two data sets?
A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is created by adding 7 to each number in the original data set that is greater than the median and subtracting 7 from each number in the original data set that is less than the median. Which of the following measures does NOT have the same value in both the original and new data sets?
Five Eretmochelys imbricata, a type of sea turtle, each have a nest. The table shows an original data set of the number of eggs that each turtle laid in its nest.
Nest | Number of eggs |
|---|---|
A | 149 |
B | 144 |
C | 148 |
D | 136 |
E | 139 |
A sixth nest with 121 eggs is added to create a new data set. Which of the following correctly compares the means of the two data sets?
The two box plots show the distribution of number of books read over the summer by the students in two different English classes. What is the positive difference between the ranges of number of books read over the summer for the two classes?
73, 74, 75, 77, 79, 82, 84, 85, 91
What is the median of the data shown?
International Tourist Arrivals, in millions
The table above shows the number of international tourist arrivals, rounded to the nearest tenth of a million, to the top nine tourist destinations in both 2012 and 2013. Based on the information given in the table, how much greater, in millions, was the median number of international tourist arrivals to the top nine tourist destinations in 2013 than the median number in 2012, to the nearest tenth of a million?
The dot plots represent the distributions of values in data sets A and B.
Which of the following statements must be true?
I. The median of data set A is equal to the median of data set B.
II. The standard deviation of data set A is equal to the standard deviation of data set B.
The frequency table summarizes a data set of the weights, rounded to the nearest pound, of 71 tortoises. A weight of 39 pounds is added to the original data set, creating a new data set of the weights, rounded to the nearest pound, of 72 tortoises. Which statement best compares the mean and median of the new data set to the mean and median of the original data set?
Data set A has 15 values and is represented by the dot plot shown. Data set B is created by adding to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?
The table shown summarizes the number of employees at each of the 17 restaurants in a town.
Which of the following could be the median number of employees for the restaurants in this town?
Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
2, 9, 14, 23, 32
What is the mean of the data shown?
The frequency distribution above summarizes a set of data, where
The mean score of 8 players in a basketball game was 14.5 points. If the highest individual score is removed, the mean score of the remaining 7 players becomes 12 points. What was the highest score?
The list gives the mass, in grams, of 5 alpine marmots.
4,010; 4,010; 3,030; 4,050; 3,050
What is the mean mass, in grams, of these 5 alpine marmots?
For a certain region, the table shows the average number of store employees in 2016 by type of store.
Based on the table, how much greater was the average number of store employees in warehouse stores than in supermarkets?
The dot plot represents a data set of the number of bursts for 13 eruptions of a steam vent. If an additional eruption with 11 bursts is added to this data set to create a new data set of 14 eruptions, which of the following measures will be greater for the new data set than for the original data set?
I. The median number of bursts
II. The mean number of bursts
In the table above, Melissa recorded the price of one gallon of regular gas from five different local gas stations on the same day. What is the median of the gas prices Melissa recorded?
For which of the following data sets is the mean greater than the median?
The table shows the frequency of values in a data set.
Value | Frequency |
|---|---|
19 | 7 |
21 | 1 |
23 | 7 |
25 | 4 |
What is the minimum value of the data set?
Each of the dot plots shown represents the number of glue sticks brought in by each student for two classes, class A and class B. Which statement best compares the standard deviations of the numbers of glue sticks brought in by each student for these two classes?
A list of 10 data values is shown.
6, 8, 16, 4, 17, 26, 8, 5, 5, 5
What is the mean of these data?
6, 6, 8, 8, 8, 10, 21
Which of the following lists represents a data set that has the same median as the data set shown?
The table below shows the high and low temperatures in Houston, Texas, during a five-day period.
What was the mean low temperature, in degrees Fahrenheit, during the five-day period?
Data set A: 1, 2, 3, 4, 5, 6, 7
Data set B: 1, 1, 2, 2, 3, 3, 4
Which of the following statements correctly compares the means of data set A and data set B?
Each of the following frequency tables represents a data set. Which data set has the greatest mean?
23, 27, 27, 32, 35, 36, 52
What is the range of the 7 scores shown?
Each value in the data set shown represents the height, in centimeters, of a plant.
6, 10, 13, 2, 15, 22, 10, 4, 4, 4
What is the mean height, in centimeters, of these plants?
The number of acres of useful timberland in 13 counties in California is summarized in the box plot above. Which of the following is closest to the median number of acres?
The mean amount of time that the 20 employees of a construction company have worked for the company is 6.7 years. After one of the employees leaves the company, the mean amount of time that the remaining employees have worked for the company is reduced to 6.25 years. How many years did the employee who left the company work for the company?
A study was conducted on the production rates for a company that produces tractor wheels. The table below shows the number of wheels made during 11 consecutive one-hour production periods.
What is the range of the number of wheels made for the 11 one-hour periods?
The weights, in pounds, for 15 horses in a stable were reported, and the mean, median, range, and standard deviation for the data were found. The horse with the lowest reported weight was found to actually weigh 10 pounds less than its reported weight. What value remains unchanged if the four values are reported using the corrected weight?
71, 72, 73, 76, 77, 79, 83, 87, 93
What is the median of the data shown?
Which of the following statements about the means and medians of data set A and data set B is true?
The table gives the results of a survey of 200 people who were asked how often they see a movie in a theater. How many people responded either “never” or “almost never”?
The dot plot represents the 15 values in data set A. Data set B is created by adding 56 to each of the values in data set A. Which of the following correctly compares the medians and the ranges of data sets A and B?
Data set X: 5, 9, 9, 13
Data set Y: 5, 9, 9, 13, 27
The lists give the values in data sets X and Y. Which statement correctly compares the mean of data set X and the mean of data set Y?
The bar graph shows the distribution of 419 cans collected by 10 different groups for a food drive. How many cans were collected by group 6?
In April, there were 43 volunteers in a cleanup project. Each volunteer was asked to choose a small gift labeled A, B, C, or D. The bar graph shows the number of volunteers who chose each gift. How many volunteers chose gift C?
If
Five Smallest Countries in 2016
Country | Land area (square kilometers) |
|---|---|
Monaco | 2.0 |
Nauru | 21 |
San Marino | 61 |
Tuvalu | 26 |
Vatican City | 0.44 |
The table above shows the land area, in square kilometers, of the five smallest countries of the world in 2016. Based on the table, what is the mean land area of the 5 smallest countries in 2016, to the nearest square kilometer?
How many more vervets are in this sanctuary than mandrills?
Data set A consists of the heights of 75 objects and has a mean of 25 meters. Data set B consists of the heights of 50 objects and has a mean of 65 meters. Data set C consists of the heights of the 125 objects from data sets A and B. What is the mean, in meters, of data set C?
Data set F consists of 55 integers between 170 and 290. Data set G consists of all the integers in data set F as well as the integer 10. Which of the following must be less for data set F than for data set G?
I. The mean
II. The median
The box plot summarizes 15 data values. What is the median of this data set?
Question: Data set A consists of the heights of 75 buildings and has a mean of 32 meters. Data set B consists of the heights of 50 buildings and has a mean of 62 meters. Data set C consists of the heights of the 125 buildings from data sets A and B. What is the mean, in meters, of data set C?
The bar graph shows the distribution of 414 books collected by 10 different groups for a book drive. How many books were collected by group 1?
A group of students voted on five after-school activities. The bar graph shows the number of students who voted for each of the five activities. How many students chose activity 3?
A survey was given to residents of all 50 states asking if they had earned a bachelor’s degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor’s degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor’s degree or higher for these 7 states and the median for all 50 states?
The bar graph shows the distribution of the number of students from one school who were born in one of four months.
How many more students were born in August than were born in July?
A fish hatchery has three tanks for holding fish before they are introduced into the wild. Ten fish weighing less than 5 ounces are placed in tank A. Eleven fish weighing at least 5 ounces but no more than 13 ounces are placed in tank B. Twelve fish weighing more than 13 ounces are placed in tank C. Which of the following could be the median of the weights, in ounces, of these 33 fish?
For quality control, a company that manufactures lightbulbs conducted five different trials. In each trial, 500 different lightbulbs were tested. The bar graph above shows the number of defective lightbulbs found in each trial. What is the mean number of defective lightbulbs for the five trials?
The mean of the list of numbers above is what fraction of the sum of the five numbers?
Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is
The high temperature, in degrees Fahrenheit (°F), in a certain city was recorded for each of 5 days. The data are shown below.
Day | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|
High temperature (°F) | 81 | 80 | 81 | 81 | 82 |
Over this 5-day period, which of the following is NOT equal to 81°F?
Number of High School Students Who Completed Summer Internships
The table above shows the number of students from two different high schools who completed summer internships in each of five years. No student attended both schools.
Which of the following statements are true about the number of students who completed summer internships for the 5 years shown?
1. The mean number from Foothill High School is greater than the mean number from Valley High School.
2. The median number from Foothill High School is greater than the median number from Valley High School.
For a certain computer game, individuals receive an integer score that ranges from 2 through 10. The table below shows the frequency distribution of the scores of the 9 players in group A and the 11 players in group B.
The median of the scores for group B is how much greater than the median of the scores for group A?
The histograms summarize the distributions of number of units sold, in thousands, for company A and company B. Which statement best compares the standard deviations of number of units sold for these companies?