Measures of Variation Homework (Unit 1, Chapter 3)
What is the Mid - Range of the Data Set below? 2 5 9 12 6 3 17 1 89 23
1 2 3 5 6 9 12 17 23 89 range= 89-1= 88 to find midrange Add together the greatest value and the least value and divide by 2. 89+1= 90/2 = 45 so the mid range is 45
What is the Mid - Range of the Data Set below? 4 7 9 19 1 17 15
1 4 7 9 15 17 19 add together the greatest and least value then divide by 2 19+1= 20/2 = 10
What is the Range of the Data Set below? 4 7 9 19 1 17 25
1 4 7 9 17 19 25 25-1=24
For the Data Set below, calculate the Standard Deviation to the nearest hundredth decimal place. 175 349 234 512 638 549 500 611
1st: to find a standard deviation of numbers, first find the mean (average) of the set of numbers. 175+234+349+500+512+549+611+638 = 3568, divide that by how many #'s there are =446 2nd: for each number in the set, subtract the mean and square the result (175-446)^2+(234-446)^2+(349-446)^2+(500-446)^2+(512-446)^2+(549-446)^2+611-446)^2+(638-446)^2 = (-271)^2+(-212)^2+(-97)^2+(54)^2(66)^2+(103)^2+(165)^2+(192)^2 = (73,441)+(44,944)+(9,409)+(2,916)+(4,356)+(10,609)+(27,225)+(36.864) = 209,764 now divide by how many numbers in the set which is 8 =26220.5 take the square root =161.93 https://www.varsitytutors.com/algebra_1-help/how-to-find-standard-deviation
By inspection, determine which of the following sets of numbers has the smallest standard deviation 1. 7, 8, 9, 10 2. 0, 1, 2, 3 3. 0, 0, 10, 10 4. 5, 5, 5, 5
4! 5, 5, 5, 5
For the following data set, calculate the Inter-Quartile Range (IQR). 2 45 92 78 250 120 34 187 111 60 110
Put the numbers in order. 2 34 45 60 78 92 110 111 120 187 250 Find the median. 92, its the one in the middle of the set Place parentheses around the numbers above and below the median. (2 34 45 60 78)92(110 111 120 187 250) Find Q1 and Q3 Think of Q1 as a median in the lower half of the data and think of Q3 as a median for the upper half of data (2 34)45(60 78)---(110 111)120(487 250) Q1=45, Q3=120 Subtract Q1 from Q3 to find the interquartile range. 120-45 =75 http://www.statisticshowto.com/probability-and-statistics/interquartile-range/
What is the Range of the Data Set below? 5 7 49 19 1 17 25
Range=largest number-smallest number arrange data set 1 5 7 17 19 25 49 49-1=48 Ans: 48
For the following data set, calculate the Inter-Quartile Range (IQR). 24 45 52 78 250 120 34 187 111 60 110
ORDER 24 34 45 52 60 78 110 111 120 187 250 Median= 78 Q1= 45, Q3=120 interquartile range.= 75
For the Data Set below, calculate the Variance to the nearest hundredth decimal place. 24 45 52 78 90 120 34 67 111 10 49 2 52 15 25 9 3 5
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