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These are the test scores on the final exam for Ms. Robinson’s math class:
. What is the mode of these scores?
In order to find the mode of a set of data, we must find the number that occurs the most often. In this set, appears three times, making it the most common number in the data set, so it is the mode.
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In Mr. Shoemaker’s class, the students took a poll to see how many siblings each student in the class had. Five of the students reported having 1 sibling. Two students reported having no siblings. Three reported having 4 siblings. Seven reported having 3 siblings. This data can be represented as: . What is the median of this data.
The median of a set of data is the number that is physically in the middle of that data set when it is displayed in order from smallest to largest. In order to find the median of this data, we must first put it in order of smallest to largest.
Next we determine how many students there are by adding together how many students reported having each number of siblings.
Since seventeen is an odd number, one number will represent the median, and that number will be the 9th number in the sequence. We know this because the 9th number has eight on either side of it, putting it exactly in the middle of the data.
In our sequence, the 9th number is , making the median of our data
.
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The data below represent the ages of the people attending the Morton family reunion. Find the range for the data.
In order to find the range, we must find the difference between the largest number in the data and the smallest number in the data. The easier way to locate the smallest and largest numbers in the data is to put them in order of smallest to largest.
By doing this we can see that 72 is our largest number and 4 is our smallest number. Now we find the difference between these two numbers using subtraction.
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Maribel bought a pack of colorful rubber bands to make bracelets for her friends. In the pack of rubber bands there were 17 yellow, 3 black, 21 orange, 13 red, 40 blue and 6 green. Which color would be the mode of the pack?
The mode is defined as the MOST in appearance. In the pack of rubber bands the color blue would appear the most in the pack.
Therefore, the mode \[MOST\] is Blue.
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Ms. Howard gave the students a test last Friday and they are reviewing it in class today.
The student scores were as follows:
Carla 80
Ben 75
Joe 90
Paul 100
Zoe 70
What was the median score for the test?
To find the median the set of numbers must be put in order \[least to greatest OR greatest to least\]. Once the numbers are in order, then cross out one number from each side of the list until the middle of the ordered numbers is reached.
The number in the middle of the ordered numbers is the median.
Placing the scores in order from least to greatest the list would appear as follows:
70, 75, 80, 90, 100
Cross out one number at a time from each side.
First cross out 70. Next, cross out 100. Then, cross out 75. Finally, cross out 90.
70, 75, 80, 90, 100
The median is the number left in the middle of the ordered list which is 80.
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Define the set
Which of the following is not a subset of ?
A subset of a set , by definition, is any set that contains no elements not in
. All elements in
,
, and
are contained in
and the sets are subsets; also,
, the empty set, is considered a subset of every set.
, however, contains element
, so
.
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Define two sets as follows:
How many elements are in ?
is the union of sets
and
- the set of all elements that appear in either
or
. These elements are:
This is a set of 14 elements.
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What is the mode of the following set of numbers?
The mode is the number that is repeated most often. is repeated three times, more than any other number in the set.
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Define a set as follows:
Which of the following is a subset of ?
A subset of a set , by definition, is any set that contains no elements not in
. Each of the following subsets can be seen to have at least one such element, which is underlined here:
The remaining set can be seen to have only elements from :
This is the correct choice.
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What is the mode of the following set of numbers?
The mode of a set of numbers is the number that is repeated most often. In this example, is repeated three times, more than any other number in the set. Therefore,
is the mode.
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What is the mean of the following set of numbers?
The mean represents the average of a set of values. To find the mean, or average, first find the sum of the set of numbers.
Then, divide the sum by however many numbers are in the set. In this set there are ten numbers, so we will divide two hundred by ten.
Therefore, the mean is .
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What is the mode of this data set?
The mode of a set is the number that occurs most often. In this set, it is 4.
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Which tool is best to measure the length of your bed?
Since the length of your bed is probably somewhere around 6 feet, the best tool to use is a yardstick. A ruler would require more measurements, and therefore, leave more room for error.
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Which answer choice descirbes the numbers in this set?
The set contains multiples of four.
Odd numbers are not divisible by two, and prime numbers have no factors other than the number itself and one. None of the numbers in this set are odd, nor are they prime. Four is a factor of eight, but none of the other numbers in the set are factors of eight.
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What best describes the shared trait of the numbers in this set?
Each of the numbers in this set is divisible only by itself and the number 1; therefore, each of the numbers in this set is prime.
While most of the numbers are odd, the number 2 is even, and so "odd" is not the correct answer.
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These are the number of baskets that Jeremy made during the last six basketball games:
What is the mode of baskets that Jeremy made?
The mode is the number that occurs most often in a set.
The number that appears the most is 4, meaning that it must be the mode.
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The pet store is selling turtles that have the following lengths: 3 inches, 5 inches, 3 inches, 3 inches, 4 inches, 5 inches, 9 inches. What is the median of the turtle lengths?
When the lengths of the turtles are ordered from smallest to largest, the lengths are ordered as such:
3 inches, 3 inches, 3 inches, 4 inches, 5 inches, 5 inches, 9 inches
The median is the middle of the set. Given that there are 7 turtles, the 4th turtle would be in the middle. Since the 4th turtle is 4 inches long, that is the median.
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On a quiz of ten questions, the students in Mr. Becker's class earned the following scores:
What is the mode of their scores?
The mode is the number that occurs most often in a set.
The score of 7 occurs three times in this set, the most of any other score. Because it occurs most frequently, the mode is 7.
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Lisa is an iceskater and was scored on a scale of 1 to 6 by a panel of judges. Her scores were:
What was the mode of her scores?
The mode is the number that occurs most often in a set.
Given that 5.6 was the score that was given more than any other (twice), it is the mode.
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The weight of the apples that Katie bought are given in pounds:
What is the median?
The median is the number that is in the middle of the set when ordered smallest to largest.
When the set is ordered smallest to largest, the set is:
Since 0.35 is the fourth number in the set of seven numbers, it is in the middle and therefore the median.
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