What is the median of the seven data values shown?
56 items match · Math · One-variable data: Distributions and measures of center and spread
- From left to right the values of the vertical bars in the Group 1 box plot are as follows:
- First vertical bar: 21
- Second vertical bar: 22
- Third vertical bar: 25
- Fourth vertical bar: 26
- Fifth vertical bar: 28
- From left to right the values of the vertical bars in the Group 2 box plot are as follows:
- First vertical bar: 22
- Second vertical bar: 23
- Third vertical bar: 24
- Fourth vertical bar: 25
- Fifth vertical bar: 28
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?
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?
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Which frequency table correctly represents the data listed?
| Data value | Frequency |
|---|---|
The frequency table summarizes the data values in a data set. What is the maximum data value in the data set?
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 x ?
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?
Which statement is true based on the table?
The mean and the median of the five numbers above are equal. Which of the following is NOT a possible value of x ?
Data set A consists of positive integers less than . The list shown gives of the integers from data set A.
, , , , , , , ,
The mean of these integers is . If the mean of data set A is an integer that is greater than , what is the value of the largest integer from data set A?
| Value | Data set A frequency | Data set B frequency |
|---|---|---|
Data set A and data set B each consist of 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?
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What is the median of the data shown?
| Country | 2012 | 2013 |
|---|---|---|
| France | 83.0 | 84.7 |
| United States | 66.7 | 69.8 |
| Spain | 57.5 | 60.7 |
| China | 57.7 | 55.7 |
| Italy | 46.4 | 47.7 |
| Turkey | 35.7 | 37.8 |
| Germany | 30.4 | 31.5 |
| United Kingdom | 26.3 | 32.2 |
| Russia | 24.7 | 28.4 |
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.
- For the dot plot titled Data Set A:
- The number line ranges from 10 to 16 in increments of 1.
- The data for the dot plot are as follows:
- 10: 1 dot
- 11: 4 dots
- 12: 2 dots
- 13: 3 dots
- 14: 2 dots
- 15: 4 dots
- 16: 1 dot
- For the dot plot titled Data Set B:
- The number line ranges from 10 to 16 in increments of 1.
- The data for the dot plot are as follows:
- 10: 2 dots
- 11: 4 dots
- 12: 2 dots
- 13: 1 dot
- 14: 2 dots
- 15: 4 dots
- 16: 2 dots
Which of the following statements must be true?
- The median of data set A is equal to the median of data set B.
- The standard deviation of data set A is equal to the standard deviation of data set B.
- Data Set A:
- The horizontal axis is labeled Integer. It ranges from 10 to 60 and is divided into 5 equal intervals.
- The vertical axis is labeled Frequency. It ranges from 0 to 12 in increments of 1, with values marked every 2 grid lines.
- The histogram has a skewed right shape.
- The histogram has 4 bins.
- The Frequency data for the 4 bins are as follows:
- 20 to 30: 3
- 30 to 40: 4
- 40 to 50: 7
- 50 to 60: 9
- Data Set B:
- The horizontal axis is labeled Integer. It ranges from 10 to 60 and is divided into 5 equal intervals.
- The vertical axis is labeled Frequency. It ranges from 0 to 12 in increments of 1, with values marked every 2 grid lines.
- The histogram has a skewed right shape.
- The histogram has 4 bins.
- The Frequency data for the 4 bins are as follows:
- 10 to 20: 3
- 20 to 30: 4
- 30 to 40: 7
- 40 to 50: 9
Two data sets of 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 , but less than . The second interval represents the frequency of integers greater than or equal to , but less than , and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
, , , ,
What is the mean of the data shown?
The frequency distribution above summarizes a set of data, where a is a positive integer. How much greater is the mean of the set of data than the median?
Which of the following MUST be true?
- Every member of team A completed the race in less time than any member of team B.
- The median time it took the members of team B to complete the race is greater than the median time it took the members of team A to complete the race.
- There is at least one member of team B who took more time to complete the race than some member of team A.
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?
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 |
|---|---|
What is the minimum value of the data set?
- For the dot plot titled Class A:
- The number line ranges from 1 to 7 in increments of 1.
- The data for the dot plot are as follows:
- 1: 1 dot
- 2: 1 dot
- 3: 3 dots
- 4: 4 dots
- 5: 5 dots
- 6: 6 dots
- 7: 7 dots
- For the dot plot titled Class B:
- The number line ranges from 14 to 20 in increments of 1.
- The data for the dot plot are as follows:
- 14: 1 dot
- 15: 1 dot
- 16: 3 dots
- 17: 4 dots
- 18: 5 dots
- 19: 6 dots
- 20: 7 dots
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 data values is shown.
, , , , , , , , ,
What is the mean of these data?