Q&A for How to Calculate Range

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  • Question
    What is the range of a list of numbers?
    David Jia
    Math Tutor
    David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
    Math Tutor
    Expert Answer
    If you're given a set of data, find the smallest number, then the largest number. Subtract them from each other to get the range.
  • Question
    What would be the range of these numbers - 8, -6, 0, 1, 3, 4, 20 be?
    Chelsea soden
    Community Answer
    First order the data from least to greatest, then subtract the smallest value from the largest value in the set.
  • Question
    How do I calculate mean, median and mode?
    Community Answer
    For mean, add all numbers up and divide them by how many numbers there are. For median, place all numbers in ascending order then find the middle number. For mode, find the most commonly-occurring number.
  • Question
    What is the range of 12,400?
    Community Answer
    You have to have multiple numbers to calculate the range.
  • Question
    How can I find the range with negative and positive numbers?
    Community Answer
    You know that if a negative number is higher, it is less (eg -4 < -2), so the negative with the "highest" number would be the lowest part, and you would then take the highest positive number, and then subtract the lower part from the higher. Eg: Your numbers are -9, -4, 0, 3, and 7. Well, you take the negative with the "highest" positive number, ie., -9, and then the highest positive number, 7. Subtract 7 - (-9), and you get 16.
  • Question
    Why do we measure the range?
    Donagan
    Top Answerer
    It gives us an overview of a set of data, an idea of how much "space" is contained within those data points.
  • Question
    How do I calculate domain?
    Donagan
    Top Answerer
  • Question
    The range is a data set is 14. If the smallest number in the set is 24, what is the largest number?
    Donagan
    Top Answerer
    Add the range to the smallest number.
  • Question
    How do I calculate mean?
    Community Answer
    Add all the numbers and divide the sum by the number of entries in the range.
  • Question
    How do I create range from mean?
    Donagan
    Top Answerer
    If all you know is the mean, you don't have enough information to find the range.
  • Question
    If the lowest number is 0, is it still subtracted from the highest when calculating the range?
    Donagan
    Top Answerer
    Yes. When zero is the lowest number, the highest number is the range.
  • Question
    What is the range for the numbers 12, 8, 17, 12, 15, 18, 30?
    Donagan
    Top Answerer
    Subtract the lowest number from the highest number: 30 - 8 = 22.
  • Question
    What if I have multiple low numbers and a multiple like 2, 2, 4, 5, 6, 14,14?
    Community Answer
    Repeats don't matter. You still have a minimum (2) and a maximum (14) and the range is the difference between them, 14 - 2 = 12.
  • Question
    How do I turn decimals into a fraction?
    Donagan
    Top Answerer
    Use the numbers in the decimal as the numerator, and choose a multiple of ten as the denominator. For example, if the decimal is .35, the numerator would be 35, and the denominator would be 100. For the decimal .842, the numerator would be 842, and the denominator would be 1,000. In each case you would reduce the fraction if possible. If the decimal were 2.25, the numerator would be 25, the denominator would be 100, and the mixed number would be 2 25/100, or 2¼.
  • Question
    What is the range of 4.8 and 4.9?
    Donagan
    Top Answerer
    The range is 4.9 - 4.8 = 0.1
  • Question
    Can 0 be used as a number when working out the range?
    Donagan
    Top Answerer
    Yes. Even though zero seems to have no value, it actually has a relative value and its own place on a number line. Therefore, it takes up space in a data set and must be considered when calculating range.
  • Question
    What is the range for measurement 200 +/- 3%?
    Donagan
    Top Answerer
    3% of 200 is 6. 200 + 3% = 200 + 6 = 206. 200 - 3% = 200 - 6 = 194. 206 - 194 = 12 (the range).
  • Question
    How do I calculate median?
    Donagan
    Top Answerer
  • Question
    What Is the domain and range of f(x) = 3 - x²?
    I_l1ke_gam3s
    Community Answer
  • Question
    What would be the range of these numbers: 1,1,1,1,2,3,3,4,5,5,6?
    Community Answer
    Subtract the smallest number in the set from the largest number in the set: 6 - 1 = 5. The range is 5. (The fact that a number may appear more than once in the set makes no difference.)
  • Question
    How do you calculate mean?
    Community Answer
    Calculate the mean (or average) of a set of numbers by adding all the numbers together and then dividing that sum by the number of numbers in the set. For example, the mean of the numbers 1, 2, 3, 4 and 5 is (1 + 2 + 3 + 4 + 5) / 5 = 15/5 = 3. (The mean does not have to be a whole number.)
  • Question
    How do you find the range when negative numbers are involved? For example: 241, -86, -42, -33, -46, -18, - 6, -2, -1, 3, 6, 9, 14, 26, 308.
    Community Answer
    It's the same process: subtract the lowest number from the highest number. In your example, it's 308 - (-86) = 308 + 86 = 394. That's the range. (When subtracting a negative number, change it to a positive number and add it.)
  • Question
    How do you calculate median?
    Community Answer
    Arrange the numbers in either ascending or descending order. Then find the middle number. For example, if the numbers are 2, 3, 4, 5, 6, 7 and 8, the middle number is 5. That's the median. If there is an even number of numbers, there will be two middle numbers, in which case you take the average of those two. For example, if the numbers are 2, 3, 4, 5, 6, 7, 8 and 9, there are two middle numbers, 5 and 6. The average of those two numbers is (5 + 6) / 2 = 5½. That's the median.
  • Question
    What would be the range of scores: 490, 560, 3?
    Community Answer
    Subtract the highest score to the lowest score. In this scenario, 560-3. This should give you 557 and this data set's range.
  • Question
    How do you calculate the median?
    Community Answer
  • Question
    The range of scores 10, 18, 15, 12, 13, 15, and 16 is what?
    I_l1ke_gam3s
    Community Answer
    Subtract the smallest number from the highest number: 18 - 10 = 8. The range is 8.
  • Question
    What if there's two of the highest number like: 1 2 3 6 9 9?
    I_l1ke_gam3s
    Community Answer
    It doesn't matter. All you'll need is one of two of the highest and the lowest numbers. 9 - 1 = 8. The range is 8.
  • Question
    How do I find the range of 10, 2, 8, 20, 9, 3, 15?
    I_l1ke_gam3s
    Community Answer
    From the highest number, subtract the lowest number. The highest is 20, and the lowest is 2. 20 - 2 = 18, so the range is equal to 18.
  • Question
    What is the range of 12,400?
    I_l1ke_gam3s
    Community Answer
    There can’t be a range with only one number. There has to be two or more numbers to calculate range. Re-read the introduction above.
  • Question
    What is the range of 3.15, 3.30, 3.25, 3.15, 3.25 and 3.20?
    I_l1ke_gam3s
    Community Answer
    The biggest number is 3.30, and the smallest is 3.15. 3.30 - 3.15 = 0.15. The range is 0.15.
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