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Q&A for How to Find the Range of a Data Set
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QuestionWhat if there is a zero (0) in the data? For example: 6,7,3,0,2,4,4,9.Community AnswerIf there is a 0 in the data, it does not matter unless it is the lowest or highest number, in which case it will be used to calculate the range. In your example, the range would be 9 because 9 is the highest number and 0 is the lowest. 9-0=9.
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QuestionHow do I find the mean in a set of data?Community AnswerAdd all the numbers up and divide by how many numbers there are. For example: 13, 29, 22, 23, 55, 98, 43, 22 = 305. 305 divided by 8 = 38.125. Your mean would be 38.13.
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QuestionWhat is the median of 100, 80, 90, 85, 100, 90, 100, 100?Community AnswerFirst line up all the numbers in ascending order (80, 85, 90, 90, 100, 100, 100, 100). The median is the middle number. In this case, there are two middle numbers, so add them together (90+100= 190) and divide them by 2 (190/2= 95).
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QuestionWhat is the range of 130, 205, 261, 180, 205, 172, 152, and 14?Community AnswerThe range of a set of number is the difference between largest and smallest number, so the answer is 247 in this given example.
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QuestionDo I subtract zero from the highest number if zero is the smallest number?Community AnswerYes, because the range is defined as the difference between the highest number and the lowest number, so if 0 is the lowest number, that should be subtracted from the highest number.
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QuestionWhat do you mean by a data set?Community AnswerA data set is a specific set of data. Data is considered facts/statistics gathered for the purpose of analyzing or reference.
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QuestionHow can I find the range of a set of date when a zero is included?DonaganTop AnswererThe zero doesn't matter. You still subtract the lowest number from the highest. If zero is the lowest number, then the highest number is the range. If the set consists of negative numbers, and zero is the highest number, then the lowest number (without its negative sign) is the range.
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QuestionWhich of the following in the group of numbers 7, .8, 14, .75, 4 is smallest?Community AnswerPoint 75 is the smallest. Since it's a decimal, it's smaller than whole numbers. It's smaller than .8 because .8 is .80, and .80 is more than .75.
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QuestionHow can I calculate the data set from the range?Community AnswerThe "range" is just the difference between the largest and smallest values.
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QuestionWhat happens if I want to find the range but I get two data sets?Community AnswerYou should find the range of both data sets, then find the range of the two ranges from each data set.
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QuestionHow do I find the quartiles when I have only four numbers?Community AnswerFind the median. If your numbers are 1, 7, 8, 9, add the middle numbers together and divide by 2. So 15 divided by 2 is 7.5. Put 7.5 between 7 and 8. Now it looks like this: 1, 7, 7.5, 8, 9. Now your lower Q median would be 1 and 7. Again, add together and divide by 2. Should come out to 4. 4 is your LQ. For Upper Q median, it would be 8 and 9. Add together and divide by 2. Comes out to 8.5. Median: 7.5, LQ: 4, UQ: 8.5.
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Question1.95, 2.05, 1.90, 1.85, 1.75, 1.80, 2.15, 2.00. What are the average and the range?I_l1ke_gam3sCommunity AnswerTo find the average, add up all the numbers and divide by the number of numbers in the data set (in this case, 8). To find the range, subtract the smallest number from the largest number in the data set.
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QuestionWhat is the range of 5,3,2,6,5,2,5?I_l1ke_gam3sCommunity Answer6 - 2 = 4.
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QuestionWhat's the mode, range, and median? 24, 6, 8, 6, 10, 24I_l1ke_gam3sCommunity AnswerThe mode is 24 and 6 (bimodal), the range is the biggest number - smallest number (24 - 6) = 18, so the range is 18. The median is the middle number when the numbers are listed in order. 6, 6. 8, 10, 24, 24. Because there are two median numbers (8 and 10), you add them up and divide by 2. 10 + 8 = 18. 18/2 = 9. The median is 9.
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QuestionIs 0 considered when calculating range?Community AnswerIf you mean that 0 is either the highest or the lowest number in the data set, then yes, 0 is considered. For example, if the data set stretches from 0 up to 30, the range is 30 - 0 = 30. If the data set stretches from 0 down to -30, the range is 0 - (-30) = 30. The range is always the "distance" (or "difference") between the high number and the low number.
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QuestionWhat is the range of the data set 190, 134, 154, 194, 182, 190, 170, 151, 190, 170, 178, 161, 180?Community AnswerSubtract the smallest number from the largest. 194 - 134 = 60.
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QuestionWhat's the range in the data set 12,15,14,19,30,5?I_l1ke_gam3sCommunity AnswerThe largest number minus the smallest number. 30 - 5 = 25. The range is 25.
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QuestionWhat is a lower Q median?DonaganTop AnswererWhen considering only the lower quartile, it is the middle number(s) within that quartile.
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QuestionWhat is relative range in a data set?DonaganTop AnswererTypically, a "relative" range is one that is being compared to other ranges.
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QuestionHow do I find the range of a data set if there are negative numbers?DonaganTop AnswererThe presence of negative numbers in a data set merely widens the range. To find such a range, follow the same process as if there were no negative number present: subtract the lowest number from the highest number. Remember that subtracting a negative number actually means adding it. Thus, the range between -6 and +10 is 10+6 = 16.
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QuestionWhat is the median for the data set 20, 16, 20, 8, 2, 12?DonaganTop AnswererThe set has an even number of numbers, so add together the two middle numbers of the set, which are 12 and 16. Their sum is 28. Divide by 2. 14 is the median. (Remember that the median does not have to be a number in the set.)
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QuestionHow do I determine the mode, median, and range if the data set only contains 1 number?Community AnswerIf the range only contains one data set it will be the mode, mean and median itself.
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