Algebra 1 : Algebra 1

Study concepts, example questions & explanations for Algebra 1

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Example Questions

Example Question #363 : Statistics And Probability

A teacher is grading quizzes and recording the scores in her records.  The scores are recorded as follows: 81, 91, 83, 88, 74, 98, 81, 94, 68, 92, 77, 79, 83, 91, 81, 84, 85, 81, 85, 79, 83, 81, 83.

What is the mode?

Possible Answers:

Correct answer:

Explanation:

The mode of a set of statistics is simply the most commonly occuring observation. In this case, what was the most common score on the quiz? We have 5 instances of 81, which is the most occurences of any particular number, thus our mode is 81.

Example Question #11 : Mode

Determine the mode of the set.

Possible Answers:

Correct answer:

Explanation:

Mode refers to the number occuring most often, so in this example we are looking for the numbers that repeat and how many times they repeat. 

 repeats twice

 repeats twice

 repeats twice 

Now because all three numbers repeated an equal amount of time, all three then become our mode. 

Answer : 

Example Question #362 : Statistics And Probability

We have the following set of numbers:

15, 14, 17, 17, 12, 19, 14, 10, 12, 17, 18, 9, 16, 12, 17.

Find the mode.

Possible Answers:

Correct answer:

Explanation:

The mode is the number that appears the most in the number set. To figure out what number appears the most in our number set, it would help to rearrange the numbers so that the set is rewritten as

9, 10, 12, 12, 12, 14, 14, 15, 16, 17, 17, 17, 17, 18, 19

By looking at this number set, it seems that the number 17 is the most common number in the number set.  It appears 4 times while other numbers such as 12 appear three times.  Thus, 17 is the mode.

Example Question #1791 : Algebra 1

If you grab a pen at random from a box containing 4 red pens, 3 blue pens, and 5 black pens, what is the probability of choosing a blue pen?

Possible Answers:

Correct answer:

Explanation:

There are 12 total pens (4 + 3 + 5 = 12). There 3 blue pens of the 12 total. The chances of grabbing a blue pen are , which reduces to .

Example Question #1 : Mode

What is the mode of the following data set? 

{9, 10, 4, 11, 7, 5, 15, 7, 2, 20, 11, 19, 7, 9}

Possible Answers:

2

11

7

9

7 and 9

Correct answer:

7

Explanation:

Arrange the set in numerical order: {2, 4, 5, 7, 7, 7, 9, 9, 10, 11, 11, 15, 19, 20}.

You can then chart the frequency of each value.

Value (Frequency)

2 (1)

4 (1)

5 (1)

7 (3)

9 (2)

10 (1)

11 (2)

15 (1)

19 (1)

20 (1)

From this you can see the most common value, which is the mode, is 7.

 

Example Question #6 : How To Find Mode

A set comprises ten elements, which are

where  stands for an unknown number.

What can be set to in order to make the set bimodal?

Possible Answers:

The set cannot be bimodal for any value of N.

Correct answer:

Explanation:

12 appears in the set most frequently, appearing three times; 19 is second in frequency, appearing twice. 10, 11, 18, and 20 appear once each.

The only number we can set  to to make two data values tie for appearing most frequently is 19; 12 and 19 would then each appear three times, and the others, once. If  is set to any other number, 12 would remain the most frequent data value.

Example Question #1 : Mode

Hours_chart

Within the set of data of the hours worked per week by the staff, what is the mode?

Possible Answers:

Correct answer:

Explanation:

Mode is a value that appears most often in a set of data.

In this case, 40 appears 4 times in the set of data, more than any other number.

Example Question #2 : Mode

Possible Answers:

Correct answer:

Explanation:

Example Question #11 : How To Find Mode

What is the mode?

Possible Answers:

None

Correct answer:

None

Explanation:

Mode is the data point that occurs most frequently. In this case each data point occurs only once, so there is no mode. Answer is none. 

Example Question #14 : How To Find Mode

What is the mode

Q10

Possible Answers:

None

Correct answer:

Explanation:

Mode is the data point that occurs most frequently. According to the data, we have  occuring four times, followed by  is three times and  only twice. The answer is just .

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