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Q&A for How to Calculate the Mean
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QuestionWhat do I do if my mean/average has a remainder?DonaganTop AnswererConvert the remainder to a decimal or fraction. For example: the average of 5, 12, and 17 is 34 ÷ 3, which is 11 with a remainder of 1. Convert the remainder to the fraction 1/3 or the decimal .33. Thus, the average is 11-1/3 or 11.33.
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QuestionHow do I calculate the mode?Community AnswerIt is the number in a set which appears most often. In the set {1 7 9 0 4 5 4}, 4 is the mode.
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QuestionHow do I find the range?DonaganTop AnswererThe range of a data set is the difference between the largest number and the smallest number in the set.
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QuestionWhat if there's a remainder?Community AnswerThat's fine. A mean does not have to be a whole number.
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QuestionHow do you find the mean with negative numbers?DonaganTop AnswererAdd them algebraically, and divide by the number of numbers.
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QuestionHow do I calculate the mean of 45, 12, 15, 92 and 61?Community AnswerAdd them all together and divide the answer by five (since there are five numbers).
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QuestionHow do I find the median?Community AnswerAdd the highest number and the lowest number and divide by two.
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QuestionCan a mean be a decimal point?DonaganTop AnswererYes.
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QuestionDoes this work for all numbers?DonaganTop AnswererIt works for all rational numbers.
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QuestionIs there an easier way to calculate with large groups of big numbers?DonaganTop AnswererNo, the only way to find an exact mean is to add all the numbers together and then divide by the number of numbers. If you don't need an exact mean, you could make a quick estimate.
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QuestionCan the mean be negative?Bat 🦇Top AnswererIf some of the numbers in the set are negative, then the mean can surely be negative.
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QuestionDo I count the number 0 in a group of numbers when calculating the mean?Bat 🦇Top AnswererYes, as it is still relevant to finding the average. For example, the mean of 1, 4, 0, and 6 is 2.75. This can be calculated by adding all four numbers and dividing by the number of values within the group.
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QuestionWhat if I have a remainder?DonaganTop AnswererInstead of using a remainder, keep dividing until you have one or more numbers after the decimal point. That gives you a more easily understood mean.
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QuestionWhat would I normally need to find the mean for?DonaganTop AnswererA mean (or average) tells you the trend or tendency of a set of numbers or data points.
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QuestionHow do I calculate the mean of two fractions, e.g. 2/5 and 5/6?DonaganTop AnswererAdd the fractions and divide by 2. 2/5 + 5/6 = 12/30 + 25/30 = 37/30. 37/30 ÷ 2 = 37/60. That's the mean.
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QuestionWhat does a probability of 1 mean?DonaganTop AnswererA "probability of 1" means that an event will definitely happen.
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QuestionHow do I calculate the mean of students' paper results?DonaganTop AnswererAdd together all the numerical results, and divide by the number of papers.
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QuestionHow do I find the range?Community AnswerThe range of a set of numbers is the difference between the largest number and the smallest number of the set. Just subtract the smallest number from the largest number.
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QuestionHow do you calculate an average?Community Answer"Average" is the same thing as "mean." Use the process shown above.
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QuestionWhat do I do with the remainder when I do an average and there is a remainder. For example: 1+7+8 is 16 divided by 3 is 5 with the remainder of 1. So what would be the average?Community AnswerSome means are not whole numbers. In this case the mean is 16/3 or 5 1/3.
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QuestionHow do you calculate standard deviation?Community Answer
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QuestionHow do you compute the mean manually with this data: 2, -1, 3, 4, 8, 9, 36, 21, 3, 5, 3, 20, 18, 14, 35, 27, 18?Community AnswerAdd those numbers together and then divide by the number of numbers: the sum is 225. (Don't forget the -1 means to subtract 1.) There are 17 numbers. 225 / 17 = 13.235. (Even though the data points are all whole numbers, the mean does not have to be a whole number.)
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QuestionIf my data set is 28,32,34,36,42,48, and y, and the mean 1.64 more than 35.5, what is y?I_l1ke_gam3sCommunity AnswerThe mean is 35.5 + 1.64 = 37.14. That means (28 + 32 + 34 + 36 + 42 + 48 + y) / 7 = 37.14. So (220 + y) / 7 = 37.14. Then (220 + y) = (7)(37.14) = 259.98. So y = 259.98 - 220 = 39.98.
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QuestionIf my data set is 28,32,34,36,42,48, and y, and the mean 1.64 more than 35.5, what is y?Community AnswerThe mean is 35.5 +1.64 = 37.14. The number of data points (counting y) is 7. The sum of the data points is the mean multiplied by the number of data points, or (7)(37.14) = 259.98. We also know that the sum of the data points is 28 + 32 + 34 + 36 + 42 + 48 + y = (220 + y). So 220 + y = 259.98. Subtract 220 from both sides of that equation, and y = 39.98. (That's a strange answer, but it's appropriate given the strange condition that the mean is "1.64 more than 35.5.")
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QuestionAre there two ways of finding the mean?DonaganTop AnswererNo, just one.
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QuestionWhat there a is reminder?DonaganTop AnswererConvert the remainder to either a fraction or a decimal, and it will be part of the mean. For example, 6½ is the mean of 5 and 8.
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QuestionIf 80 people run a race, 2:3 is the ratio of adults to children, the mean time for all is 3 minutes, adult's time is 2 minutes and 7.5 seconds, what is the mean time for children?DonaganTop Answerer2 + 3 = 5. 80 / 5 = 16. (16)(2) = 32, so there are 32 adults running. (16)(3) = 48, so there are 48 children running. (32 + 48) = 80.) Total time running (adults and children) is (80)(3 min) = 240 min. Adult total time is (32)(120 + 7.5 sec) = (32)(127.5 sec) = 4,080 sec = 68 min. Total children time is 240 - 68 = 172 min. Mean time for children is 172 / 48 = 3.583 min.
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QuestionHow to o calculate variance and standard deviation?DonaganTop Answerer
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QuestionThe mean of two numbers is 7. If one of the numbers is 6, then what is the other number?DonaganTop AnswererLet x be the other number. (6 + x) / 2 = 7. Then (6 + x) = 14. Subtract 6 from both sides of the equation: x = 8.
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QuestionHow do I convert a remainder into a decimal??DonaganTop AnswererDivide the remainder by the divisor. For example, if you divide 13 by 3, the quotient is 4 with a remainder of 1. To convert the remainder into a decimal, divide the remainder by the divisor (3): 1 ÷ 3 = 0.33. So 13 ÷ 3 = 4.33.
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