If I gave you 12 numbers (12, 34, 23, 10, 9, 45, 14, 34, 12, 13, 13, 35), and sa

Question

If I gave you 12 numbers (12, 34, 23, 10, 9, 45, 14, 34, 12, 13, 13, 35), and said calculate

1. the median

2. the mode

3. the mean

4. the 25th percentile, the 75th percentile

5. the variance

6. the standard deviation

7. the coefficient of variation

8. the range

9. the interquartile range

What happens if the 12 numbers become (14,36,25,12,11,47,16,36,14,15,15,37) ?

You may not have to do any major calculations if you look at your calculations for the previous 12 numbers????

Situation #2 In the 1960's many residents of D.C. moved to the Washington suburbs to apartments with swimming pools. As a teenager, living near the University of Maryland, I too would mix baby oil and iodine and sit out at the pool during the summer just like almost everyone else in my class. There really wasn't any sunscreen and if you burned, it would turn tan. Fast forward to today- we were dumb. Once a year I need to take treatment for pre-cancer skin cells. The main treatment is Blue light. But there is an alternate treatment that is also used for cancer called Fluorouracil 5%. To get FDA approval for any new drug you have to run experimental testing. FDA looks closely at your side affects and the percentages. Last year, I became very ill (day 9 of this treatment) and assumed I had a flu strain unlike any I had ever been exposed to. I had virtually all of the side affects listed. I decided to stop using the medication. This is the third medication of this type I have used in my life - all have side effects but this was the worst for me.

You will need to search what patients have said about this product, what the company's trials have shown, the FDA approval process I pointed to above and tell me if there is a solution. For the record Fluorouracil is a cancer treatment - it saves lives. To make money, companies like finding alternative uses for their product. Companies must now tell you the side affects with percentages found in experimental testing. Class action lawsuits involving drugs have been won years after many drugs have been on the market - this raises serious questions about the initial data obtained. What does this story mean to you, for you and your family members?

Explanation / Answer

Solution :-

12, 34, 23, 10, 9, 45, 14, 34, 12, 13, 13, 35

Count - n = 12

Sum = 254

1. the median

Sorting numbers in ascending order = 9, 10, 12, 12, 13, 13, 14, 23, 34, 34, 35, 45

= (13+14) / 2 = 13.5

2. the mode = 12, 13,34 (numbers with highest frequencies)

3. the mean = Sum of all numbers/count = 254/12 = 21.167

4. the 25th percentile, the 75th percentile =

the 25th percentile, Lower quartile (xL) = 12

the 75th percentile, Upper quartile (xU) = 34

5. the variance = 143.139 (Sum of Differences2 / Count), where differences is every number minus mean.

6. the standard deviation = 11.96 (The square root of the Variance)

7. the coefficient of variation = CV = (Standard Deviation () / Mean ()) = 0.59

8. the range = Highest value - Lowest value = 45 - 9 = 36

9. the interquartile range = 22 (xU-xL = 34 - 12 = 22)

What happens if the 12 numbers become (14,36,25,12,11,47,16,36,14,15,15,37)

1. the median = 15.5

2. the mode = 14, 15, 36

3. the mean = 23.167

4. the 25th percentile, the 75th percentile =25th percentile = Lower quartile (xL) = 14
= 75th percentile = Upper quartile (xU) = 36

5. the variance = 143.139

6. the standard deviation = 11.96

7. the coefficient of variation = 0.54

8. the range = Highest value - Lowest value = 47 - 11 = 36

9. the interquartile range = (xU-xL) = 22

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