Question 557148: THE LENGTHS OF THE FIRST 10 WORDS OF 2 BOOKS ARE LISTED BELOW. FIND THE RANGE, VARIANCE, AND STANDARD DEVIATION FOR EACH OF THE TWO SAMPLES. THEN COMPARE THE TWO SETS OF RESULTS. DO THESE APPEAR TO BE A DIFFERENCE IN THE VARIATION?
"Book 1:" 7,10,11,12,2,11,1,10,1,2
"Book 2:" 6.2,5,5,6,4,3,6,6,3
FIND THE RANGE FOR BOOK 1:
RANGE = ________LETTERS.
FIND THE RANGE FOR BOOK 2:
RANGE= ________LETTERS.
FIND THE VARIANCE AND STANDARD DEVIATION FOR BOOK 1.
SAMPLE VARIANCE = __________LETTERS (squared) (round to one decimal place as needed), DO NOT
ROUND UNTIL THE FINAL ANSWER. THEN ROUND TO ONE DECIMAL PLACE AS NEEDED.)
FIND THE VARIANCE AND STANDARD DEVIATION FOR BOOK 2:
SAMPLE VARIANCE = ________LETTERS (Squared) Round to one decimal place as needed.
(DO NOT ROUND UNTIL THE FINAL ANSWER. THEN ROUND TO ONE DECIMAL PLACE AS NEEDED.)
IS THERE A DIFFERENCE IN VARIATION BETWEEN THE TWO BOOKS?
A.YES, THERE IS MUCH LESS VARIATION AMONG THE WORLD LENGTHS IN BOOK 2.
B.YES, THERE IS MUCH LESS VARIATION AMONG THE WORLD LENGTHS IN BOOK 2.
C.NO, THERE IS NOT A DIFFERENCE IN THE VARIATION.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! THE LENGTHS OF THE FIRST 10 WORDS OF 2 BOOKS ARE LISTED BELOW. FIND THE RANGE, VARIANCE, AND STANDARD DEVIATION FOR EACH OF THE TWO SAMPLES. THEN COMPARE THE TWO SETS OF RESULTS. DO THESE APPEAR TO BE A DIFFERENCE IN THE VARIATION?
"Book 1:" 7,10,11,12,2,11,1,10,1,2
"Book 2:" 6.2,5,5,6,4,3,6,6,3
FIND THE RANGE FOR BOOK 1:
RANGE = 12-1 = 11 LETTERS.
FIND THE RANGE FOR BOOK 2:
RANGE= 6.2-3 = 3.2 LETTERS.
FIND THE VARIANCE AND STANDARD DEVIATION FOR BOOK 1.
SAMPLE VARIANCE = 4.67^2 = 21.8 LETTERS (round to one decimal place as needed), DO NOT ROUND UNTIL THE FINAL ANSWER. THEN ROUND TO ONE DECIMAL PLACE AS NEEDED.)
FIND THE VARIANCE AND STANDARD DEVIATION FOR BOOK 2:
SAMPLE VARIANCE = 1.29^2 = 1.7 LETTERS Round to one decimal place as needed.
(DO NOT ROUND UNTIL THE FINAL ANSWER. THEN ROUND TO ONE DECIMAL PLACE AS NEEDED.)
IS THERE A DIFFERENCE IN VARIATION BETWEEN THE TWO BOOKS?
A.YES, THERE IS MUCH LESS VARIATION AMONG THE WORLD LENGTHS IN BOOK 2.
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Cheers,
Stan H.
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