Basic Arithmetic : Basic Statistics

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #1801 : Algebra 1

What is the mode?

Possible Answers:

Correct answer:

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order. We have 

 occurs three times while the rest only twice.

Therefore,  is the answer. 

Example Question #61 : Basic Statistics

What is the mode?

Possible Answers:

Correct answer:

Explanation:

Mode is the data point that occurs most frequently.

Let's arrange in increasing order. We have 

 occur twice while the rest only once.

Therefore,  is our final answer. 

Example Question #63 : Basic Statistics

Using this set of data, find the mode(s). 

Possible Answers:

 and 

 and 

Correct answer:

 and 

Explanation:

To find the mode, we must find which number appears the most amount of times. (rememeber: mode = most!)

In this data set: 

,

the numbers  and  all only appear once. But the numbers  and  appear more than once; these are our candidates for the mode.

Let's go one number at a time. The number four appears four times; the number two appears two times; the number five appears four times.

Thus, the numbers  and  both appear the most amount of times, four times each! We have two modes!

Example Question #61 : Basic Statistics

John's past five test scores were

.

What is the mode of his test scores?

Possible Answers:

Correct answer:

Explanation:

The mode of a set of numbers is the number that occurs the most times.

Since 85 appears twice, and all other numbers appeared only once, 85 is the mode.

Example Question #61 : Basic Statistics

Consider the following set of numbers:

Find the mode of the set.

Possible Answers:

Correct answer:

Explanation:

The mode of the set is the most repeated number in the set.

First organize the set in order from smallest to largest.

From here we can see more clearly when there is a repeated number.

In this case that number is  because all other number only occur once.

Example Question #61 : Basic Statistics

Consider the following set of numbers:

Find the mode of the set.

Possible Answers:

Correct answer:

Explanation:

The mode of the set is the most repeated number in the set. In this case there is number being repeated once and another being repeated twice.

Therefore the answer will be the number that is being repeated twice, .

This number can be seen in red.

Example Question #63 : Basic Statistics

Consider the following set:

Find the mode of the set.

Possible Answers:

Correct answer:

Explanation:

The mode of the set is the number that occurs the most times in the set.

In this case that number is  since all other numbers are only seen once in the data set.

Example Question #68 : Basic Statistics

Find the mode of the following set of numbers: .

Possible Answers:

 and 

 and 

Correct answer:

 and 

Explanation:

The mode of any set of numbers is the number that occurs the most often in set. In order to find the mode, it's easiest to start by arranging the numbers in the set from least to greatest. The set of numbers we were given is

In order from least to greatest, this set looks like:

Now that our numbers are in order, it's easier for us to see if there are any numbers that show up more than once. In this case, both  and  appear in the set two times, and every other number in the set appears only one time. Since  and  appear an equal number of times in the set as the other does, they are both considered to be modes of the set. 

So, there are two modes for our set: , and .

Example Question #61 : Basic Statistics

What is the mode of this class's state exam results if the scores are the following?

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears most often in your set. In this case we will be looking at which score appears most often. 

Mode exam

This is one simple way of organizing data to indicate the mode. Each number that appeared in the data set was written down. Each "X" written above each number indicates each time it was present in the set. We see that 87 appeared most often. Therefore, 87 is the mode of the data set. 

Example Question #341 : Basic Arithmetic

You take a quiz in class and are shown the results of 10 students. There were 8 questions and the score is given as 1-8. Find the mode of the following results:

Possible Answers:

Correct answer:

Explanation:

To find the mode, you can make a number line and place an "x" for every occurance of a score or number. 

Mode

The mode of a data set is the value which appears most often. In this case the mode is 7 since it occurred 3 times.

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