Following is the five-number summary of salaries (in $) for a sample of marketing managers.. Min...
Following is the five-number summary of salaries (in $) for a sample of marketing managers..
|
Min |
O1 |
Median |
Q3 |
Max |
|
46360 |
69693 |
77020 |
91750 |
129420 |
- Would you expect the mean salary for this sample of marketing managers to be higher or lower than the median? Explain.
- Which would be a more appropriate measure of central tendency for these data, the mean or median? Explain.
- Calculate the range.
- Calculate the IQR.
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Following is the five-number summary of salaries (in $) for a
sample of marketing managers..
Min...
Suppose, CEO yearly compensations are sampled and the following five number summary is calculated (in millions)....
Suppose, CEO yearly compensations are sampled and the following five number summary is calculated (in millions). Calculate the inter-quartile range (IQR) Calculate the lower and upper fences. Lower Fence Upper Fence Would an annual compensation of $15,000,000 be considered an outlier?(yes/no) Would an annual compensation of $20,000,000 be considered an outlier? (yes/no) Minimum 0.25 Q1 1.25 Median 3.5 Q3 7.25 Maximum 50
Women’s salaries (thousands of pounds) Men’s salaries (thousands of pounds) Min 22 26 Median 26.5...
Women’s salaries
(thousands of pounds)
Men’s salaries
(thousands of pounds)
Min
22
26
Median
26.5
30.5
Max
33
36
Mean
27.1
31.7
SD
3.4
3
IQ range
6
3
Range
11
10
a
(ii) Is this an example of continuous or discrete data? (iii) Use the two measures of location to say which gender has the er salary on average (iv) Use all three measures of spread to say which gender has the greater variability in their salary (b) (i)...
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6. A sample of employees in a certain company gives the following data about salaries. Answer the questions below based on this data set. $37,000 $95,000 $40,000 $39,750 $37,000 $38,600 (a) Calculate the mean. (b) Find the median. (c) Find the mode. (d) Which measure of central tendency you think best represents the data? Explain WHY.
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Q1 According to the journal Chemical Engineering, an important property of a fiber is its water...
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Instructions and Grading Question 1. (3 points total) Below is a histogram of the salaries of...
Instructions and Grading Question 1. (3 points total) Below is a histogram of the salaries of the New York Yankees baseball team in 2011. Use the histogram to answer the following questions. Provided are some summary statistics of the data set. Standard Median Q1 Deviation Minimum Max Mean 03 $414,000 $32,000,000 $6,756,301 $8,468,058 $2,100,000 $559,625 $10,000,000 (1 point) Describe the histogram, commenting on the shape, center and overall spread. (Do your best at estimating what the center would be) a)...
Women’s salaries
(thousands of pounds)
Men’s salaries
(thousands of pounds)
Min
22
26
Median
26.5
30.5
Max
33
36
Mean
27.1
31.7
SD
3.4
3
IQ range
6
3
Range
11
10
a
(ii) Is this an example of continuous or discrete data? (iii) Use the two measures of location to say which gender has the er salary on average (iv) Use all three measures of spread to say which gender has the greater variability in their salary (b) (i)...
6. A sample of employees in a certain company gives the following data about salaries. Answer the questions below based on this data set. $37,000 $95,000 $40,000 $39,750 $37,000 $38,600 (a) Calculate the mean. (b) Find the median. (c) Find the mode. (d) Which measure of central tendency you think best represents the data? Explain WHY.
The descriptive summary of a TV show, the number of minutes audience spend watching in a typical week, is given below Mean St Dev Min Show Time 135.8 177.18 Q1 50 Median Q3 90 150 Max 2000 a) What is the shape of the corresponding histogram? Explain. (symmetric /right-skewed / left-skewed) b) Are there any outliers? Explain. When describing centre and spread, which set of summary c) statistics should be used? Why? (mean and standard deviation or median and IQR)...
Instructions and Grading Question 1. (3 points total) Below is a histogram of the salaries of the New York Yankees baseball team in 2011. Use the histogram to answer the following questions. Provided are some summary statistics of the data set. Standard Median Q1 Deviation Minimum Max Mean 03 $414,000 $32,000,000 $6,756,301 $8,468,058 $2,100,000 $559,625 $10,000,000 (1 point) Describe the histogram, commenting on the shape, center and overall spread. (Do your best at estimating what the center would be) a)...
Q1 According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 pieces of cotton fiber was taken and the absorbency on each piece was measured. The following are the absorbency values: 18.71 21.41 20.72 21.81 19.29 22.43 20.17 23.71 19.44 20.50 18.92 20.33 23.00 22.85 19.25 21.77 22.11 19.77 18.04 21.12 Calculate: Sample Mean . Sample Median 10% trimmed Mean Quartiles: Qi, Q2 and Q3 Interquartile range: IQR Q3-Q...
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Instructions and Grading Question 1. (3 points total) Below is a histogram of the salaries of the New York Yankees baseball team in 2011. Use the histogram to answer the following questions. Provided are some summary statistics of the data set. Standard Median Q1 Deviation Minimum Max Mean 03 $414,000 $32,000,000 $6,756,301 $8,468,058 $2,100,000 $559,625 $10,000,000 (1 point) Describe the histogram, commenting on the shape, center and overall spread. (Do your best at estimating what the center would be) a)...
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