work is appreciated Worksheet 15: STANDARD DEVIATION: CONCEPTS Name: ___________

Question

work is appreciated

Worksheet 15: STANDARD DEVIATION: CONCEPTS

Name: ______________________________ Date: __________

RIDDLE: What's the main problem with the "rat race?"

Directions: To find the answer to the riddle, write "T" for "true" or "F" for "false" on the line to the left of each statement. The word at the end of the first true statement is the first word in the answer to the riddle, the word at the end of the second true statement is the second word, and so on.

__________ 1. The standard deviation is more descriptive of a normal distribution than it is descriptive of a skewed distribution. (EVEN)

__________ 2. A normal distribution is symmetrical. (IF)

__________ 3. The square root of the standard deviation is called the variance. (BUSINESS)

__________ 4. In a normal distribution, about 68% of the cases lie between the mean and one standard deviation unit above the mean. (TRAP)

__________ 5. In a normal distribution, about 95% of the cases lie between one standard deviation above the mean and one standard deviation below the mean. (WEALTH)

__________ 6. If two groups are being compared, the group with the larger standard deviation has more variability. (YOU)

__________ 7. If M = 50.0 and S = 10.0, about 34% of the cases in a normal distribution lie between scores of 40 and 50. (WIN)

__________ 8. If M = 32.0 and S = 5.0, about 34% of the cases in a normal distribution lie between scores of 27 and 32. (YOU'RE)

__________ 9. If M = 100.0 and S = 15.0, about 68% of the cases in a normal distribution lie between 66 and 134. (QUICKLY)

__________ 10. If M = 500.0 and S = 100.0, about 68% of the cases in a normal distribution lie between 400 and 600. (STILL)

__________ 11. The standard deviation was designed to describe skewed distributions. (LOST)

__________ 12. Three standard deviation units on both sides of the mean include over 99% of the area in a normal distribution. (A)

__________ 13. The standard deviation is usually associated with the mean. That is, if the mean is used to describe the average, the standard deviation is usually used to describe the variability. (RAT)

Write the answer to the riddle here, putting one word on each line:
__________ __________ __________ __________, __________
__________ __________ __________

Explanation / Answer

1. True (as the normal distribution assumes deviation from the mean standard deviation is more descriptive of a normal distribution)

2.True (All normal distributions are symmetric and have bell-shaped density curves with a single peak. )

3.False (Sqroot of variance is std deviation)

4. False( In a normal distribution, about 68% of the cases lie between the mean and one standard deviation unit above the mean can check from z table for the value of z=1 & z=-1 and sum the probabilities it will be 68.26%)

5.False ( In a normal distribution, about 95% of the cases lie between two standard deviation above the mean and two standard deviation below the mean.

6.True (If two groups are being compared, the group with the larger standard deviation has more variability)

7.True (If M = 50.0 and S = 10.0, about 34% of the cases in a normal distribution lie between scores of 40 and 50. 1sd apart to right)

8.True ( If M = 32.0 and S = 5.0, about 34% of the cases in a normal distribution lie between scores of 27 and 32.1sd apart to left)

9.False (not 1 sd apart)

10True (yes 1 sd apart)

11.False (inverse of this statement is true)

12. True (to be precise 99.7%)

13. True ( True Without any doubt :) )

ans :

Even if you win You're still a rat !!

hope the above ans has helped you in understanding. Pls upvote if it has really helped you. Good Luck!!

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