Question Bank: Tales by Dots and Lines

What is the mean of the numbers 4, 8, and 12?

Which of the following represents a characteristic of the mean?

If the mean of the data set {5, 10, 15, 20} is 12.5, which statement is true?

What happens to the mean if a new number much larger than the current mean is added?

What is the mean of the two numbers 3 and 7?

In the data set {12, 14, 14, 16, 18}, what is the median?

The mean of the data set {7, 14, 21} is equal to what?

What is the mean of the numbers 4, 8, and 10?

If the mean of a data set is 20 and one value is removed, changing the mean to 22, what can you infer about the removed value?

If the mean of the set {3, 5, 7, x} is 6, what is the value of x?

Which statement about the mean is false?

A tree harvest was recorded as 30 coconuts for 6 trees. If one tree actually produced 5 fewer coconuts, what will be the new mean?

If you have the values {8, 8, 8, 8, 12}, what is the mean?

In a set of numbers, if adding a number greater than the mean, what happens to the mean?

If the numbers are altered so that the mean of the set {2, 4, 6} becomes 6, what could be one new number?

What is the mean of the following data set: 2, 4, 6, 8, 10?

For the data set {1, 3, 5, 7}, which is true about the mean?

If the mean of four numbers is 10, what is their total sum?

If you find that the average score of a test is 75 and a student scored 60, how will this impact the class mean if their score is included?

After removing the largest number in the set {12, 15, 18}, what can happen to the mean?

In the data set {10, 20, 30, 30, 40}, if a new number 50 is added, which statement is true about the mean?

Which of the following values will not change the mean when added to the data set?

What is a common misconception regarding the mean?

Which statement about the mean is true?

What will the new mean be if you add 2 and 4 to the data set {2, 3, 5, 7}?

If the mean of the numbers {5, 7, x, 13} is 10, what is x?

Can the mean be affected by adding more numbers?

In the set {4, 6, 6, 8}, what is the mean?

If the mean of five consecutive numbers is n, what is the smallest number?

What happens to the mean when a number equal to the mean is removed?

What is the mean of the numbers 4, 8, and 10?

Which statement about the mean is true?

If the mean of five numbers is 20, what is the total sum of those numbers?

Find the mean of the data set: 12, 15, 20, 25, 30.

If a new number is added to a data set, under what condition will the mean decrease?

Which of the following means describes the central tendency when values are symmetrically distributed?

For the set of values 6, 7, 10, 2, and 9, which is greater, the mean or the median?

How does adding a very large number to a data set impact the mean?

The mean of three consecutive numbers is 15. What are these numbers?

If the mean of a data set increases after adding a new value, what can be inferred about the new value?

In a situation with two groups of data: Group A with a mean of 50 and Group B with a mean of 80, which group will likely affect the overall mean more positively if combined?

If the mean of numbers is the same as the median, what does that indicate about the data distribution?

What is the mean of the numbers 5, 10, and 15?

If the mean of 4, 8, and x is 6, what is x?

Adding a new number greater than the mean will result in the mean doing what?

In a dataset of 7, 8, and 9, what happens to the mean if we add 6?

What value must be added to 15 and 20 to keep the mean of the new set as 20?

If the mean of a dataset is 50 and one value is removed, which can affect the mean?

What is the mean of the numbers 2, 4, and 6?

If the mean of 5 numbers is 12, what is the total of those numbers?

How will the mean be affected if two values less than the mean are removed?

An average score of 70 is reported for 5 students. If one student is removed who scored 90, what is the new mean?

Which of the following data sets has the highest mean? 1, 2, 3; 5, 10, 15; or 7, 14, 21?

What is the outcome if you replace the mean with a value much lower than the current mean?

In a set of data points, if the mean is exactly equal to the median, what can be inferred?

What happens to the mean when you add a new value equal to the current mean?

If the mean of three numbers is 20, what can be concluded about one of those numbers?

What is the mean of the following set of numbers: 4, 8, 6, 10?

If the mean of a set of numbers is 12 and you add a number greater than 12, what will happen to the mean?

If you remove a number equal to the mean from a data set, what happens to the mean?

You have the numbers 4, 10, 6, and want to add a value to keep the mean at 8. What should the value be?

What will be the mean if you add values 2 and 10 to the numbers 4, 8, 6?

If every number in a set is increased by 5, what happens to the mean?

If you have the numbers 3, 5, and 7, what must you add to keep the mean at 5 after adding a number?

What would happen to the mean if you added two values less than the mean and one value greater than the mean?

Given data values of 2, 4, and 6, what is the effect of adding three numbers each equal to the mean?

If the mean of a data set of five numbers is 20 and one number is removed, how does it affect the mean?

Can the mean of a dataset with even numbers change if we add an odd number? Why or why not?

How can you include two values greater than the mean and one value less than the mean to maintain the original mean?

When every member of a set of numbers is decreased by a fixed value, how does the mean change?

If you know that the mean of the first four numbers is 15, what must be true for a fifth number to maintain the mean?

What is the median of the data set {3, 5, 7, 9, 11}?

If a data set has an even number of elements {2, 4, 6, 8}, what is the median?

How does adding a number greater than the median affect the median of a data set?

Given the data set {1, 3, 4, 7, 10}, inserting 6 at the correct position will change the median to what value?

What happens to the median when a value less than the current median is added?

In data set {2, 5, 8, 10}, what will be the new median if you add 12?

What is the median of {15, 22, 7, 9} after sorting?

When a data set is modified by adding multiple equal values, how does that affect the median?

If three values are added to a data set: {4, 6, 8, 10}, say (3, 5, 7) increase the median to what?

For a set {2, 4, 6, 8, 10}, what is the impact of removing the largest value on the median?

What is the effect on median if all values in the data set are doubled?

What is the median for the sorted values: {8, 12, 16, 20, 24}?

If three numbers are added to the data set {3, 5, 7} with values 4, 6, 8, what will happen to the median?

With a dataset of {10, 15, 20, 25, 30}, what is the median?

What median would result from the set {1, 1, 1, 1, 2}?

Including an outlier of value 100 to a set {20, 30, 40, 50} will affect the median how?

What is the new median if the set {3, 7, 9, 11} has 5 removed?

If a data set consists of the values 2, 4, 4, 6, 8 and their frequencies are 1, 2, 1, 1, 1 respectively, what is the mean of the data set?

What is the median of the data set with frequencies: 1, 3, 2 for the values 5, 10, 20 respectively?

A data set has the following values: 1 (3 times), 2 (5 times), and 3 (2 times). What is the mean?

To find the mean of a grouped data, which is the correct approach?

In a class of 30 students, the average family size is found to be 4 based on collected data. If one student reports incorrectly, yielding a total of 32 members, what was the average now?

If the number of occurrences of the value 5 is substantially higher, what happens to the mean?

Find the median for the following frequencies: 2 (3 times), 4 (4 times), 6 (2 times).

A frequency table shows family sizes of a class: 1 (5 times), 2 (10 times), 3 (6 times). What is the mean family size?

How do you find the median in a frequency distribution with an even number of observations?

If the frequencies are: 1, 1, 2, for values 1, 2, and 3, what is the median?

An average calculated was based on 50 family members providing varied size data. If one family miscounts and adds 5 extra members, what is the likely effect on the mean?

Given a distribution with values 1, 2, and 3 and frequencies 1, 3, and 5, what would be the median of this data?

In a family size frequency survey, if one family is dropped, how does it affect the mean?

What is the missing value if the sum of 9 numbers is 279 and their average is 31?

If the mean of the numbers 7, 9, 12, and x is 10, what is the value of x?

Given the weights of some wrestlers are 42 kg, 40 kg, 39 kg, and 33 kg, if their average is 39.2 kg, what is the missing weight?

If the total is 600 and the mean is 30 for 20 players, what is one player's score if another player's score is noted incorrectly as 5 more?

A group of students’ family sizes are 4, 5, 6, and 7 members. If one student reports incorrectly with 2 extra members, what’s the adjusted average?

If you add a value less than the median 10, how will it affect the median?

For the weights of players given as 45, 50, 55, 61, and x, if the average is 52, find x.

In a set of six numbers, if adding a number greater than the average results in an increased average, what can be said?

What’s the average if the total score of a class of 10 is incorrectly counted as 1000 instead of the correct 900?

If the mean of three numbers is 12, and two of the numbers are 10 and 14, what is the unknown number?

What will happen to the median if another value equal to the median is added?

Calculate the correct average harvest per tree if an incorrect count of 20 was recorded as 23 for 5 trees.

A data set has a median of 30, what happens if a value of 28 is added?

If the average of five numbers is 15, what is the total of these numbers?

Following the average formula, if the sum is 240 and count is 10, what is the average?

Which scenario will likely not result in a changed median when two extreme outliers are included?

For the chart of rainfall data, how will adding a year with below-average rainfall affect the mean?