Homework: Section 3.2 Homework Score: 0 of 1 pt 3.2.9 Save 100f 13 (7 complete)
ID: 3325211 • Letter: H
Question
Homework: Section 3.2 Homework Score: 0 of 1 pt 3.2.9 Save 100f 13 (7 complete) HW Score: 53.85%, 7 of 13 pts Question Help of hurianes that occurred in each year in a certain region. The data are isted in order by year. Find the range, variance, and standard deviation for the given sample data. Indlude appropiate units in the rosuits. What important feature of the data is not revealed by any of the mesures of variation? 10 14 10 17 17 The range of the sample data is Round to one decimal place as needed.) Enter your answer in the answer box and then click Check Answer.Explanation / Answer
3.2.9
given data,
Mean = Sum of observations/ Count of observations
Mean = (11 + 8 + 10 + 14 + 1 + 4 + 6 + 5 + 10 + 9 + 7 + 17 + 17 + 5 / 14) = 8.8571
Variance
Step 1: Add them up
11 + 8 + 10 + 14 + 1 + 4 + 6 + 5 + 10 + 9 + 7 + 17 + 17 + 5 = 124
Step 2: Square your answer
124*124 =15376
…and divide by the number of items. We have 14 items , 15376/14 = 1098.2857
Set this number aside for a moment.
Step 3: Take your set of original numbers from Step 1, and square them individually this time
11^2 + 8^2 + 10^2 + 14^2 + 1^2 + 4^2 + 6^2 + 5^2 + 10^2 + 9^2 + 7^2 + 17^2 + 17^2 + 5^2 = 1392
Step 4: Subtract the amount in Step 2 from the amount in Step 3
1392 - 1098.2857 = 293.7143
Step 5: Subtract 1 from the number of items in your data set, 14 - 1 = 13
Step 6: Divide the number in Step 4 by the number in Step 5. This gives you the variance
293.7143 / 13 = 22.5934
Step 7: Take the square root of your answer from Step 6. This gives you the standard deviation
4.7533
given data,
maximum value =17
minimum value =1
Range = maximum - minimum
Range = 17-1 = 16
Answers:
Range =16.0
variance = 22.5934
standard deviation = 4.7533
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