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The following data represent the ages of the best across for the years 1985-2004

ID: 3160342 • Letter: T

Question

The following data represent the ages of the best across for the years 1985-2004. 39 49 62 52 39 47 38 32 42 51 25 30 53 44 51 48 61 35 37 42. Give the four measures of central tendency. A standard deck of cards has 52 cards. One card is selected at random from the deck. Compute. Probability of randomly selecting a nine or eight or three. Probability of randomly selecting a ten or club. According to almanac, 60% of adult smokers stated smoking before turning 18 years old. Compute the mean and the standard deviation of the random variable X, the number of smokers who started before 18 m 300 trials. Would it be unusual to observe 255 smokers who started before. Turning 18 years old in random sample of 300 adult smokers? Why?

Explanation / Answer

1.

Ordering the data,

25
30
32
35
37
38
39
39
42
42
44
47
48
49
51
51
52
53
61
62

Getting the mean, X,  
  
X = Sum(x) / n  
Summing the items, Sum(x) =    877
As n =    20
Thus,  
X =    43.85 [ANSWER, MEAN]

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The median is the average of the 2 middle values,

median = (42+44)/2 = 43 [ANSWER, MEDIAN]

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The mode are the most frequent observations, and there are 3 of them:

Mode = 39, 42, 51 [ANSWER, MODE]

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Also, the midrange is

Midrange = (Max + Min)/2 = (25+62)/2 = 43.5 [MIDRANGE]

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