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Algebra 1 : Statistics and Probability

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Example Questions

Example Question #591 : Statistics And Probability

$\small 23, 42, 53, 22, 55, 12, 56$

Using the data above, find the range.

Possible Answers:

$\small 23$

$\small 15$

$\small 45$

$\small 44.$

Correct answer:

$\small 44.$

Explanation:

The first step is to find the highest value given in the data set, in this case: $\small 56.$

Next, we find the lowest value, in this case: $\small 12$ .

The range is defined as the difference between the highest and lowest values.

Thus, the range for this set of data is $\small 56 - 12 = 44$ .

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Example Question #592 : Statistics And Probability

$\small 6,6,9,10,15,16,20,30,48$

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

Possible Answers:

$\small range = 42, mode = 8$

$\small range = 32, mode = 6$

$\small range = 42, mode = 6$

$\small range = 40, mode = 8$

Correct answer:

$\small range = 42, mode = 6$

Explanation:

The range is defined as the difference between the highest and lowest value in the data set.

For this data set,

$\small 48 - 6 = 42,$ thus $\small 42$ is the range.

The mode is the value that appears the most amount of times. In this set every value appears once, except the number six, which apperas twice. The mode is $\small 6$ .

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Example Question #593 : Statistics And Probability

$\small \small 390,23,8940,283,4,4,4,4,4,4,4,4,14,134,1$

Using the data, find the range and the mean.

Possible Answers:

$\small mean= \frac{991}{15}, range = 3890$

$\small mean= \frac{9961}{15}, range = 95$

$\small mean= \frac{9817}{15} , range = 8939$

$\small mean= \frac{9961}{15}, range = 45$

Correct answer:

$\small mean= \frac{9817}{15} , range = 8939$

Explanation:

To find the mean of a data set, we add all of the data values and divide the sum by the number of data values in the set. In this set there are fifteen data values.

$\small \small \frac{390+23+8940+283+4+4+4+4+4+4+4+4+14+134+1}{15} = \frac{9817}{15}$ , this is our mean.

The range is simply the interval between the biggest and smallest numbers,

$\small 8940-1 = 8939$ . This is our range.

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Example Question #594 : Statistics And Probability

$\small 34,2,39,30,45,33$

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

Possible Answers:

$\small mode = none, range= none$

$\small mode = none, range= 43$

$\small mode = 43, range= none$

$\small mode = none, range= 40$

Correct answer:

$\small mode = none, range= 43$

Explanation:

When provided with the data:

$\small 34,2,39,30,45,33$ ,

the easiest thing to obtain first is the mode.

Do any of these numbers appear more than once? The answer is no. All of these numbers only appear once, meaning that there is no mode in this set.

Next, we use the highest and lowest numbers to find the range.

In this set, these numbers are:

$\small 45-2 = 43$ ,

thus this is the range.

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Example Question #595 : Statistics And Probability

What is the range of the following number set?

2,4,5,1,10,11,3

Possible Answers:

Correct answer:

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set 2,4,5,1,10,11,3 , the highest number is and the lowest number is .

Therefore, the range is 11-1=10 .

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Example Question #596 : Statistics And Probability

What is the range of the following number set?

0,1,5,3,7,6,2,8,9,17,12

Possible Answers:

Correct answer:

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set 0,1,5,3,7,6,2,8,9,17,12 , the highest number is and the lowest number is .

Therefore, the range is 17-0=17 .

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Example Question #597 : Statistics And Probability

What is the range of the following number set?

-1,0,-2,8,9,6,-3,5,7,16

Possible Answers:

Correct answer:

Explanation:

We define range as the difference between the lowest and highest numbers in a given number set.

In our set -1,0,-2,8,9,6,-3,5,7,16 , the highest number is and the lowest number is .

Therefore, the range is 16-(-3)=16+3=19 .

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Example Question #598 : Statistics And Probability

Consider the following set of numbers:

25, 27, 36, 32, 41, 22, 28, 33, 44, 51, 37, 32

Find the range of the set.

Possible Answers:

Correct answer:

Explanation:

To find the range of the set, subtract the smallest number in the set from the largest number in the set.

25, 27, 36, 32, 41, 22, 28, 33, 44, 51, 37, 32

In this set the largest number is and the smallest number is .

Therefore, the difference or range is,

51-22=29 .

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Example Question #599 : Statistics And Probability

Consider the following set of numbers:

61, 65, 68, 71, 72, 72, 72, 74, 79, 82, 86, 88, 88

Find the range of the set.

Possible Answers:

Correct answer:

Explanation:

To find the range of the set, subtract the smallest number in the set from the largest number in the set.

${\color{Blue} 61}, 65, 68, 71, 72, 72, 72, 74, 79, 82, 86, 88, {\color{Green} 88}$

The smallest number in the data set can be seen in blue, .

The largest number in the data set can be seen in green, .

Therefore, the difference or range becomes,

88-61=27 .

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Example Question #600 : Statistics And Probability

Consider the following set:

15,17,12,13,14,11,14,10,22,16,9

Find the range of the set.

Possible Answers:

Correct answer:

Explanation:

To find the range of the set, subtract the smallest number in the set from the largest number in the set.

$15,17,12,13,14,11,14,10,{\color{Green} 22},16,{\color{Blue} 9}$

In this particular cas the largest number is seen in green , and the smallest number is seen in blue, .

Therefore, the difference between the two or the range is,

22-9=13 .

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Algebra 1 : Statistics and Probability

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #591 : Statistics And Probability

Example Question #592 : Statistics And Probability

Example Question #593 : Statistics And Probability

Example Question #594 : Statistics And Probability

Example Question #595 : Statistics And Probability

Example Question #596 : Statistics And Probability

Example Question #597 : Statistics And Probability

Example Question #598 : Statistics And Probability

Example Question #599 : Statistics And Probability

Example Question #600 : Statistics And Probability

All Algebra 1 Resources

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