Data Properties - Math
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Six homes are for sale and have the following dollar values in thousands of dollars:
535
155
305
720
315
214
What is the mean value of the six homes?
Six homes are for sale and have the following dollar values in thousands of dollars:
535
155
305
720
315
214
What is the mean value of the six homes?
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The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group. In this case, six homes are for sale. The six home values are added together 
, then that value is divided by six.
The mean is calculated by adding all the values in a group together, then dividing the sum by the total number in the group. In this case, six homes are for sale. The six home values are added together
Six homes are for sale and have the following dollar values in thousands of dollars:
535
155
305
720
315
214
What is the median value of the six homes?
Six homes are for sale and have the following dollar values in thousands of dollars:
535
155
305
720
315
214
What is the median value of the six homes?
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The median is determined by ordering the values in the group from least to greatest: 155, 214, 305, 315, 535, 720. The value directly in the middle is the median. For instance, if there are five numbers, the third is the median. Here, we have an even number of values so there is no value directly in the middle. To find the median when there is no middle-most value, find the average of the two middle values. The mean is determined by adding the two values and dividing by two (the number in the group):
The median is determined by ordering the values in the group from least to greatest: 155, 214, 305, 315, 535, 720. The value directly in the middle is the median. For instance, if there are five numbers, the third is the median. Here, we have an even number of values so there is no value directly in the middle. To find the median when there is no middle-most value, find the average of the two middle values. The mean is determined by adding the two values and dividing by two (the number in the group):
A bird watcher observed how many birds came to her bird feeder for four days. These were the results:
Day 1: 15
Day 2: 12
Day 3: 10
Day 4: 13
What is the mean number of birds?
A bird watcher observed how many birds came to her bird feeder for four days. These were the results:
Day 1: 15
Day 2: 12
Day 3: 10
Day 4: 13
What is the mean number of birds?
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The mean is calculated by adding the values from the four days together, then dividing the sum by the total number of values. In this case, four values must be added:
The mean is calculated by adding the values from the four days together, then dividing the sum by the total number of values. In this case, four values must be added:
What is the mode of the following list of numbers?
35, 17, 4, 25, 7, 4, 17, 26, 8, 17
What is the mode of the following list of numbers?
35, 17, 4, 25, 7, 4, 17, 26, 8, 17
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The mode is the number that appears most frequently in a series of numbers. First, organize the numbers in order from least to greatest: 4, 4, 7, 8, 17, 17, 17, 25, 26, 35. The number 17 appears three times, more than any other number.
The mode is the number that appears most frequently in a series of numbers. First, organize the numbers in order from least to greatest: 4, 4, 7, 8, 17, 17, 17, 25, 26, 35. The number 17 appears three times, more than any other number.
For the following data set:
Which is the smallest?
For the following data set:
Which is the smallest?
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Put the data in order from smallest to largest and then calculate each stastic: mean, mode, median, range
or 
Mode is the most often repeated number or 
Median is the number in the middle or 
Mean is the sum of the data divided by the number of data points or 
Put the data in order from smallest to largest and then calculate each stastic: mean, mode, median, range
Mode is the most often repeated number or
Median is the number in the middle or
Mean is the sum of the data divided by the number of data points or
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Each student's grade in Becky's math class is determined using a weighted average. Exams comprise 50% of the grade, quizzes comprise 20%, and homework comprises the final 30%. Becky has an 87% average on tests, 82% on quizzes, and 97% on homework. What is her overall grade?
Each student's grade in Becky's math class is determined using a weighted average. Exams comprise 50% of the grade, quizzes comprise 20%, and homework comprises the final 30%. Becky has an 87% average on tests, 82% on quizzes, and 97% on homework. What is her overall grade?
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First, convert the weighted percents to decimals.
Next, multiply each score by the weight.
Finally, sum all of the weighted scores.
First, convert the weighted percents to decimals.
Next, multiply each score by the weight.
Finally, sum all of the weighted scores.
Find the median of the following number series:
3, 6, 27, 19, 8, 11, 30, 42, 7, 39
Find the median of the following number series:
3, 6, 27, 19, 8, 11, 30, 42, 7, 39
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The first step to finding the median is always to put the numbers in the proper order:
3, 6, 7, 8, 11, 19, 27, 30, 39, 42
When we have an even amount of numbers, we find the average (or mean) of the middle two to get the median:
11 + 19 = 30/2 = 15
The first step to finding the median is always to put the numbers in the proper order:
3, 6, 7, 8, 11, 19, 27, 30, 39, 42
When we have an even amount of numbers, we find the average (or mean) of the middle two to get the median:
11 + 19 = 30/2 = 15
With a standard deck of playing cards, what is the probability of picking one red card followed by one black card, without replacement?
With a standard deck of playing cards, what is the probability of picking one red card followed by one black card, without replacement?
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In a standard deck of playing cards we have:
So the probability of picking the first card red is 
.
Then the probability of picking the second card black is 
because this is without replacement.
They are independent events so the probabilities get multiplied together to give 
.
In a standard deck of playing cards we have:
So the probability of picking the first card red is
Then the probability of picking the second card black is
They are independent events so the probabilities get multiplied together to give
Which statement is true concerning the following data set:
Which statement is true concerning the following data set:
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First, put the data in order, smallest to largest:
Note, the mode is the number most often repeated in the data set and the median is the middle number.
So 
is the only true statement.
First, put the data in order, smallest to largest:
Note, the mode is the number most often repeated in the data set and the median is the middle number.
So
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What was the mean temperature for the week?
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What was the mean temperature for the week?
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The mean is calculated by adding all the values in a group, then dividing the sum by the total number in the group.
The mean is calculated by adding all the values in a group, then dividing the sum by the total number in the group.
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the mode of the temperatures?
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the mode of the temperatures?
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The mode is the number that appears most frequently in a series of numbers. First, organize the numbers in order from least to greatest. Then, identify the value that is repeated most frequently.
The mode is the number that appears most frequently in a series of numbers. First, organize the numbers in order from least to greatest. Then, identify the value that is repeated most frequently.
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the median temperature?
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the median temperature?
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The median is determined by ordering the values in the group from least to greatest and identifying the value directly in the middle. For instance, if five numbers are ordered from least to greatest, the third is the median.
The median is determined by ordering the values in the group from least to greatest and identifying the value directly in the middle. For instance, if five numbers are ordered from least to greatest, the third is the median.
What is the probability of rolling an odd sum less than seven when rolling two standard six-sided dice?
What is the probability of rolling an odd sum less than seven when rolling two standard six-sided dice?
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The sample space for rolling two six-sided dice is 
.
The odd numbers less than seven are one, three, and five.
The smallest sum you can get with two dice is 
.
sum of 
sum of 
The sample space for rolling two six-sided dice is
The odd numbers less than seven are one, three, and five.
The smallest sum you can get with two dice is
sum of
sum of
When using a standard deck of cards, what is the probability of drawing two black cards followed by a single red card, assuming no replacement?
When using a standard deck of cards, what is the probability of drawing two black cards followed by a single red card, assuming no replacement?
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Probability is a fraction between 
and 
that shows how likely something is to happen. The numerator represents target outcomes, and the denominator represents the total outcomes to choose from, or the sample space.
Probability is a fraction between
Harry's final grade in Algebra is based on the average of four tests and one final. The final is worth twice as much as the other tests. What is the minimum score he must get on the final to get an A 
in the course if his other test scores are 
?
Harry's final grade in Algebra is based on the average of four tests and one final. The final is worth twice as much as the other tests. What is the minimum score he must get on the final to get an A
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Let 
the final test score.
The average is given by 
.
Solve by cross multiplying to get 
.
Then subtract 
from both sides to get 
.
Let
The average is given by
Solve by cross multiplying to get
Then subtract
Albert's biology grade is based on the average of three test scores and a final. The final is worth twice a regular test. What is the minimum grade he must get on the final to get an A 
in the course if his other test scores were 
?
Albert's biology grade is based on the average of three test scores and a final. The final is worth twice a regular test. What is the minimum grade he must get on the final to get an A 
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The average is the sum of the data divided by the total number of data points.
Let 
final score.
Simplify so the equation to solve becomes 
.
Cross multiplying we get 
.
Then subtract 
from both sides and divide by 
to get 
.
The average is the sum of the data divided by the total number of data points.
Let
Simplify so the equation to solve becomes
Cross multiplying we get
Then subtract
Six homes are for sale and have the following dollar values in thousands of dollars:
535
155
305
720
315
214
What is the range of the values of the six homes?
Six homes are for sale and have the following dollar values in thousands of dollars:
535
155
305
720
315
214
What is the range of the values of the six homes?
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The range is the simplest measurement of the difference between values in a data set. To find the range, one simply subtracts the lowest value from the greatest value, ignoring the others. Here, the lowest value is 155 and the greatest is 720.
The range is the simplest measurement of the difference between values in a data set. To find the range, one simply subtracts the lowest value from the greatest value, ignoring the others. Here, the lowest value is 155 and the greatest is 720.
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the range of temperatures?
Alice recorded the outside temperature at noon each day for one week. These were the results.
Monday: 78
Tuesday: 85
Wednesday: 82
Thursday: 84
Friday: 82
Saturday: 79
Sunday: 80
What is the range of temperatures?
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The range is the simplest measurement of the difference between values in a data set. To find the range, simply subtract the lowest value from the greatest value, ignoring the others.
The range is the simplest measurement of the difference between values in a data set. To find the range, simply subtract the lowest value from the greatest value, ignoring the others.
You are given the following data:
What is the range?
You are given the following data:
What is the range?
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Recall that we find the range of a set of data by subtracting the smallest value from the largest value. In this case, the smallest value is 
and the largest value is 
. Thus, our range is 
.
Recall that we find the range of a set of data by subtracting the smallest value from the largest value. In this case, the smallest value is