Algebra II : Basic Statistics
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #191 : Algebra Ii
Determine the range of the following numbers:
The range is the difference between the highest and lowest numbers.
Identify the highest and lowest numbers.
The highest number is:
The lowest number is:
Subtract both numbers.
The answer is:
Example Question #192 : Algebra Ii
The 2014 Sinquefield Cup consisted of nine total rounds. In this chess tournament, a win is worth one point, a draw is worth half a point, and a loss is worth no point. At the end of the tournament, the player with the highest score wins the tournament. Below are the scores of the players.
Find the range of the scores of the players.
The range cannot be calculated.
The range can be found by subtracting the smallest value from the largest value.
Solution: 5.5
Example Question #121 : Basic Statistics
What is the range of the following data set:
Cannot be determined from above information
The range corresponds the lowest and highest values in a data set. In this case, that corresponds to 
Example Question #1 : Mean
The mean of the following numbers is 12. Solve for x.
14, 11, 10, 8, x
where n equals the number of events.
Example Question #2 : Mean
There exists a function f(x) = 3x + 2 for x = 2, 3, 4, 5, and 6. What is the average value of the function?
14
20
25
4
6
14
First we need to find the values of the function: f(2) = 3 * 2 + 2 = 8, f(3) = 11, f(4) = 14, f(5) = 17, and f(6) = 20. Then we can take the average of the five numbers:
average = (8 + 11 + 14 + 17 + 20) / 5 = 14
Example Question #92 : Data Properties
On four exams, John has an average score of 94 points. His lowest score was an 89. If this score is dropped, what is his new average?
To answer this question, you must first calculate John's total points from the four exams. The total points will be equal to four times the original average:
Now, if the 89 is removed, his new total will be:
With the score dropped, his new total number of exams is 3. Therefore, the new average is:
Round this up to 95.67.
Example Question #94 : Data Properties
After five exams, Isidore has an average score of 88 points. He then takes two more exams, earning a 77 and a 103. What is his new average?
To solve this, first calculate the total number of points that Isidore has earned. To find this total, multiply his original average by the original number of exams:
Then, to this you must add his new scores to get the new total:
After taking the two new exams, he has 7 total exams. Therefore, his average is:
This rounds to an 88.57.
Example Question #5 : Mean
Sally is five inches taller than Mike, who is three inches shorter than Patrick. Patrick is 67 inches tall. What is the mean height of the three people?
To calculate the mean, you will need to figure out each person's height. Start with what we know.
Patrick is 67 inches tall: 
Mike is three inches shorter than Patrick: 
Sally is five inches taller than Mike: 
Find the sum of their heights:
Their average height is therefore:
Example Question #2 : Mean
In a bed of plants, six are 55 inches tall, twelve are 70 inches tall, and three are 80 inches tall. To the nearest hundreth, what is the average height of the plants?
To answer this, you need to know the total inches of all the plants. You must multiply the number of each type by its respective height:
Then, add these together:
Now, the total number of plants is:
The mean (or average) of this group is:
Round this to the nearest hundreth to get 67.14 inches.
Example Question #5 : Mean
Peter was paid $4000 for editing a 3200-page encyclopedia. What was his rate earned per page?
This question is really just asking for the average dollar per page. This could be easily calculated:
However, you might also think of this as a rate problem:
Using the information from the question, we can see that 
This comes out to what we solved above:
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