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What is the mode of the following datasets. 104 104 104 104 104 107 109 109 109 110 109 111 112 111 109 (a) (b)

  1. What is the mode of the following datasets.

104

104

104

104

104

107

109

109

109

110

109

111

112

111

109

(a)

(b) 6180, 4894, 2821, 2559, 2483

Drink

Gallons

Soft drinks

52

Water

34

Milk

26

Coffee

21

(c)

  1. If midrangeis defined as the sum of the lowest and the highest values in a dataset, divided by 2, what is the midrange of the following dataset: 3, 30, 148, 157, 71
  2. The following data gives the NFL signing bonuses in $mn: 18, 14, 34.5,10, 11.3, 10, 12.4, and 10. Compute the (a) sample standard deviation, (b) coefficient of variation, and (c) Pearson's second skewness coefficient.
  3. Table 1 contains the number of short term parking spaces at 15 airports.
    1. Compute the Yule's coefficient.
    2. Construct a box-plot.
    3. Using the Tukey's fence method with a factor of 1.5, check whetherthere are any outliers in the dataset.
  4. An instructor grades exams, 20%; term paper, 30%; final exam, 50%. Astudent had grades of 83, 72 and 90 respectively. Find the student's final average. Another instructor gives four 1-hour exams and one final exam which counts as two 1-hour exams. Find the student's grade if she received 62, 83, 97, and 90 on the 1-hour exams and 82 on the final exam.

Table 1: Number of parking spaces

750

3400

1962

700

203

900

8662

260

1479

5905

9239

690

9822

1131

2516

Table 2: Bargain Auto Mall

SUV (S)

Compact (C)

Mid-sized (M)

Foreign (F)

20

50

20

Domestic (D)

65

100

45

  1. A local fast food company claims that the average salary of it's employeesis $13.23 per hour. An employee states that most of the employees make minimum wage. If both are being truthful, how could both be correct? What is the skewness of the distribution of wages in the company?
  2. A football team consists of 20 freshmen, 20 sophomores, 15 juniors, and10 seniors. Four players are selected at random to serve as captains. Find the probability that,
    1. all four are seniors.
    2. there are two sophomores and two freshmen.
    3. there is one of each.
    4. at least one of the students is a senior.
  3. If three dice are rolled, find the probability of getting
    1. a sum of 6.
    2. a triple.
  4. Two bags contain marbles. Bag 1 contain 1 black marble and 9 whitemarbles. Bag 2 contains 1 black marble and xwhite marbles. If you choose a bag at random, then choose a marble at random, the probability of getting a black marble is
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