### All Algebra 1 Resources

## Example Questions

### Example Question #31 : How To Find Mode

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

**Possible Answers:**

and

and

**Correct answer:**

and

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 #32 : How To Find Mode

John's past five test scores were

.

What is the mode of his test scores?

**Possible Answers:**

**Correct answer:**

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 #33 : How To Find Mode

Using this set of data, find the mode.

**Possible Answers:**

Every number is the mode.

none

**Correct answer:**

none

The mode is defined as the number that appears more than once. If the data was graphed onto a histogram, the mode would bet he bar, point, or line that reaches the highest y-value.

In this set of data, each number appears only once, thus there is no mode. The answer is "none."

### Example Question #34 : How To Find Mode

Using the data above find the median and the mode.

**Possible Answers:**

is the median. There is no mode.

This data set has no mode or medians.

is the mode. There is no median.

is the mode. is the median.

and are the modes. is the median.

**Correct answer:**

and are the modes. is the median.

The data set provided is:

.

Before we try to find the median and mode, place the numbers in numerical order,

Since there is an odd amount of data, pieces, we can subtract one and then divide the result in half, . This means that there must be four pieces of data on either side of the median. To satisfy this requirement the median then must be .

The mode is just the number that appears the most. It is possible to have more than one mode. In this set of data, our modes are and , both numbers appear twice.

### Example Question #35 : How To Find Mode

Using the data above, find the mode and the range.

**Possible Answers:**

**Correct answer:**

Using the data provided, we can find the mode by finding the number that appears the most.

In this set we have three modes because three of the numbers appear twice, .

For the range, all we do is subtract the lowest value from the highest value,

.

### Example Question #36 : How To Find Mode

Using the data above, find the mode and the range.

**Possible Answers:**

**Correct answer:**

Using the data set given, , we are asked to find the mode and the range.

Since there are only four pieces of data, and none of them appear more than once, we can conclude that there is no mode.

Range is defined as the difference between the highest and lowest value,

.

### Example Question #37 : How To Find Mode

Using the data above, find the mode and the range.

**Possible Answers:**

**Correct answer:**

To find the range, simply find the range interval between the highest and lowest value in the data set:

, so

To find the mode, we simply count how many times a data value appears.

In this set the number appears eight times, the number appears once, and the number appears three times.

Thus, the number is our mode.

### Example Question #38 : How To Find Mode

Ten students compare their test scores. the scores are as follows:

Find the mode of the set of test scores.

**Possible Answers:**

**Correct answer:**

The mode is the number or score that appears most often. In this case it is , because appears three times which is the most any one number appears.

### Example Question #39 : How To Find Mode

Using the data above, find the range and the mode.

**Possible Answers:**

**Correct answer:**

When provided with the data set:

,

the first thing we should do is quickly find the mode. The mode is the number that appears the most amount of times. In this set, all numbers of different, and only appear once. Thus, there is no mode.

To find the range we use the highest and the lowest numbers:

,

thus this is the range.

### Example Question #40 : How To Find Mode

Using the data provided, find the mode and the range.

**Possible Answers:**

**Correct answer:**

Using the data provided:

,

to find the mode we simply count up the amount of times that certain data pieces appear.

In this set, appears once, appears three times, and appears three times.

Thus, and are both the modes.

The range is found by finding the interval between the highest and lowest data pieces:

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