Problem: Grade point average The average undergraduate grade point average (GPA) for the 25 top-ranked medical schools is listed below.

3.80 3.77 3.70 3.74 3.70

3.86 3.76 3.68 3.67 3.57

3.83 3.70 3.80 3.74 3.67

3.78 3.74 3.73 3.65 3.66

3.75 3.64 3.78 3.73 3.64

Problem: Identity Theft A researcher claims that each year, there is an average of 300 victims of identity theft in major cities. Twelve were randomly selected, and the number of victims of identity theft in each city is shown. Can you conclude that the researcher was correct?

574 229 663 372 102 88

117 239 465 136 189 75

Problem: LPGA Scores The scores for the LPGA—Giant eagle were

Score Frequency

1. 2

1. 7

1. 16

1. 26

1. 18

1. 4

Find the mean and the modal class

M urders in cities . The data show the number of murders in 25 selected cities in a given state.

Number Frequency

1. 13

1. 2

1. 0

1. 5

1. 1

1. 1

1. 0

1. 1

1. 2

Measures of variation

The three data sets have the same mean and range, but is the variation the same? Prove your answer by computing the standard deviation. Assume the data were obtained from samples

1. 5,7,9,11,13,15,17
   Solution: The standard deviation is
   \[s=\sqrt{\frac{1}{n-1}\sum{{{\left( {{X}_{i}}-\bar{X} \right)}^{2}}}}=4.32\]
   The variance is
   \[{{s}^{2}}=18.6667\]
   The range is
   \[Range=Max-Min=17-5=12\]
2. 5,6,7,11,15,16,17
3. 5,5,5,11,17,17,17

Find the range, variance, and standard deviation. Assume the data represent samples, and use the shortcut formula for the unbiased estimator to compute the variance and standard deviation .

Police Calls in schools The number of incidents where police where needed for a sample of 10 schools in Allegheny county is 7,37,3,8,48,11,6,0,10,3. Are the data consistent or do they vary? Explain your answer

Precipitation and high temperatures the normal daily high temperatures (in degrees Fahrenheit) in January for 10 selected cites are as follows.

50,37,29,54,30,61,47,38,34,61

The normal monthly precipitation (in inches) for these same 10 cities is listed here

4.8, 2.6, 1.5, 1.8, 1.8, 3.3, 5.1, 1.1, 1.8, 2.5

Measures position

Reaction Time The reaction time to a stimulus for a certain test has a mean of 2.5 seconds and a standard deviation of 0.3 second. Find the corresponding z score for each reaction time.

1. 2.7 z = 0.6667
2. 3.9 z = 4.6667
3. 2.8 z = 1
4. 3.1 z = 2
5. 2.2 z = -1

U se each box plot to identify the maximum value, minimum value, median, first quartile, third quartile, and interquartile range.

_____________________

0--------------[______________|______]----------0

--|----------|----------|----------|----------|----------|----------|--------

200 225 250 275 300 325

Congressional Bills construct a box plot for the number of bills enacted by congress during the last several years. Comment on the shape of the distribution.

88, 245, 153, 241, 170, 410, 136, 241, 198

Broadway productions shown here is the number of new theater productions that appeared on Broadway for the past several years. Construct a box plot for the data comment on the shape of the distribution.

30 28 33 29 37 39

35 37 37 38 34

Solution: The box plot is shown below:

The distribution looks not symmetric, and in fact it is moderately left-skewed

Size of dams . These data represent the volumes in cubic yards of the largest dams in the United States and in south America. Construct a box plot of the data for each region and compare the distributions.

United states South America

125,628 311,539

92,000 274,026

78,008 105,944

77,700 102,014

66,500 56,242

62,850 46,563

52,435

50,000

Price: $17.33

Solution: The downloadable solution consists of 9 pages, 833 words and 3 charts.
Deliverable: Word Document