# Mean, Median, And Mode

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Mean, median, and mode are all importance mathematical concepts to understand when determining statistics. Are you a mean, median, and mode math wizard?

• 1.

### What is the definition of "mean"?

• A.

The number that is repeated the most

• B.

The middle value in a number line

• C.

The average of all numbers

C. The average of all numbers
Explanation
The definition of "mean" is the average of all numbers. It is calculated by adding up all the numbers in a set and then dividing the sum by the total number of values in the set. The mean gives a measure of central tendency and represents the typical value in a data set.

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• 2.

### How do you determine the "mean" number?

• A.

Add all numbers together and divide by the amount of numbers

• B.

Add all numbers together and multiply by four

• C.

Add all numbers together and divide by four

• D.

Add all numbers together

A. Add all numbers together and divide by the amount of numbers
Explanation
To determine the "mean" number, you need to add all the numbers together and then divide the sum by the amount of numbers. This is because the mean is calculated by finding the average of a set of numbers. Adding all the numbers together and dividing by the amount of numbers gives you the average or mean value of the set.

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• 3.

### What is the mean of the following numbers? 2, 22, 12, 22

• A.

22

• B.

14.5

• C.

14

• D.

12

B. 14.5
Explanation
The mean of a set of numbers is calculated by adding up all the numbers and then dividing the sum by the total number of values. In this case, the sum of the numbers 2, 22, 12, and 22 is 58. Dividing 58 by 4 (the total number of values) gives us 14.5. Therefore, the mean of the given numbers is 14.5.

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• 4.

### What is the definition of the "median"?

• A.

The middle number

• B.

The last number

• C.

The first number

• D.

The average of all numbers

A. The middle number
Explanation
The median is defined as the middle number in a set of numbers. It is the value that separates the higher half from the lower half of the data set.

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• 5.

### What is the median of these numbers? 3, 15, 43, 13, 52

• A.

15

• B.

13

• C.

43

• D.

3

A. 15
Explanation
The median is the middle value when the numbers are arranged in order. In this case, the numbers are already listed in ascending order. The middle value is 15, so it is the median of the given numbers.

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• 6.

### How do you determine the median if there is an even amount of numbers?

• A.

Choose whichever one is smaller

• B.

You cannot determine the median if there is an even amount of numbers

• C.

Add the two middle numbers and divide by two

• D.

Multiple the two middle numbers and divide by two

C. Add the two middle numbers and divide by two
Explanation
To determine the median when there is an even amount of numbers, you add the two middle numbers and divide the sum by two. This is because the median represents the middle value in a set of numbers, and when there is an even amount, there are two middle numbers. By adding them together and dividing by two, you find the average of the two middle numbers, which gives you the median value.

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• 7.

### What is the "mode"?

• A.

The average of all of the numbers

• B.

The middle number

• C.

The sum of all numbers together

• D.

The number that appears most frequently

D. The number that appears most frequently
Explanation
The mode is the number that appears most frequently in a set of numbers. It is a measure of central tendency and helps identify the most common value in a dataset. Unlike the mean, which calculates the average, or the median, which finds the middle number, the mode focuses on identifying the number that occurs most often.

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• 8.

### What is the most in the following number line?2, 100, 84, 43, 2, 3, 17, 84, 43, 2

• A.

84

• B.

2

• C.

43

• D.

There is not a mode

B. 2
Explanation
The number 2 appears the most frequently in the given number line. It appears a total of 3 times, which is more than any other number in the list. Therefore, 2 is the mode of the number line.

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