Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #1 : How To Find Range

Given the set of test scores, what is the range?

Possible Answers:

Correct answer:

Explanation:

The range is the difference between the smallest number and the largest number. The smallest value is 77, and the largest is 98.

98 – 77 = 21

Example Question #2 : How To Find Range

The range of the following data set is 18. What is a possible value for ?

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

Arrange the known values in the set in numerical order: {–5, –2, 1, 3, 5, 7, 7, 10}. The range is the difference between the largest value and smallest value.

x must be either the largest or the smallest value in the set.

range = x – smallest value

18 = x – (–5)

18 = x + 5

13 = x

OR

range = largest value – x

18 = 10 – x

8 = –x

–8 = x

Example Question #5 : How To Find Range

Hours_chart

The above chart shows a specific week of work at an advertising firm.  What is the range of the hourly rates of the workers?

Possible Answers:

Correct answer:

Explanation:

The range is difference between the largest value and the smallest value.

Example Question #6 : How To Find Range

What is the range of the set ?

Possible Answers:

Correct answer:

Explanation:

The range is defined as the difference between the highest and lowest numbers in a set. Here, the highest number is  and the lowest is

Therefore, the range is

 

 is the mode,  is the mean, and 6 is the median.

Example Question #1 : How To Find Range

In the set of numbers, what is the range?  

Possible Answers:

Correct answer:

Explanation:

To determine the range of this data set, take the largest number and subtract it with the smallest number.

The largest number in the set is ten.

The smallest number in the set is .

Subtract both numbers.

Example Question #2 : How To Find Range

Find the range of the following set of numbers. 

Possible Answers:

Correct answer:

Explanation:

Subtract the lowest number (4) from the highest (52) to get 48.

 

Example Question #11 : How To Find Range

In the field of hematology, a patient's blood oxygen content is considered "stable" if the readings taken over a period of 24 hours have a range no larger than 4.5. A day's readings for a patient are below. Is this patient's blood oxygen content stable?

Possible Answers:

Yes, the range is less than 4.5.

No, the range is more than 4.5.

No, the range is less than 4.5.

There is not enough data to answer the question.

Yes, the range is more than 4.5.

Correct answer:

Yes, the range is less than 4.5.

Explanation:

To compute range, we must first identify the least and greatest values in a data set. The easiest way to do this is to order the set:

    

Range is found by the equation , or the maximum value in the set minus the minimum value.

Thus, our range is .

Since , the blood oxygen level is considered stable.

Example Question #11 : How To Find Range

An ecosystem is considered to have "mild" climate if the range of its temperatures over a calendar year is less than , "moderate" climate if the range is between  and , and "severe" if the range is more than .

Average monthly temperatures in Celsius for a sample climate are given below (December through November). What statement can be made about the climate of this sample?

Possible Answers:

The climate is both moderate and severe.

The climate is mild.

The climate is severe.

There is not enough data to answer the question.

The climate of the sample is moderate.

Correct answer:

The climate of the sample is moderate.

Explanation:

In this problem, finding the range of the sample is as simple as subtracting the lowest temperature value, , from the highest, .

Since  is in the range of  which is the range for "moderate" climate, we may say that the sample shows a moderate climate.

Example Question #11 : How To Find Range

Using the data above, calculate the range. 

Possible Answers:

Correct answer:

Explanation:

The range is found by finding the difference between the highest and lowest values in a given set. In this set the highest number is  and the lowest is . Using this data, simply subtract three from twenty-three. Our answer is 

Example Question #581 : Statistics And Probability

Using the data above, find the range. 

Possible Answers:

Correct answer:

Explanation:

To find the range of a data set, we must first identify the highest value given:  

Next, we identify the lowest value given, .

Now we must find the interval between these two numbers, .

This is our range. Note that the data piece value of , is considered an outlier, meaning it is dramatically different than the rest of the data values. When an outlier is present, expect the range to be very large compared to the rest of the data values. 

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