Question

In: Statistics and Probability

Consider the following sets of sample data: A: 20,407, 20,145, 20,363, 20,124, 21,177, 21,465, 22,194, 20,834,...

Consider the following sets of sample data: A: 20,407, 20,145, 20,363, 20,124, 21,177, 21,465, 22,194, 20,834, 21,717, 21,613, 21,619, 21,223, 20,532, 21,195 B: 4.26, 4.00, 4.01, 4.14, 3.60, 4.58, 2.94, 3.81, 3.78, 2.98, 3.50 Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Expert Solution

A.

Mean of A , = (20407 + 20145 + 20363 + 20124 + 21177 + 21465 + 22194 + 20834 + 21717 + 21613 + 21619 + 21223 + 20532 + 21195) / 14

= 21043.43

Variance of A = [(20407 - 21043.43)² + (20145 - 21043.43)² + (20363 - 21043.43)² + (20124 - 21043.43)² + (21177 - 21043.43)² + (21465 - 21043.43)² + (22194 - 21043.43)² + (20834 - 21043.43)² + (21717 - 21043.43)² + (21613 - 21043.43)² + (21619 - 21043.43)² + (21223 - 21043.43)² + (20532 - 21043.43)² + (21195 - 21043.43)² ] / 13

= 423842.9

Standard deviation of A, = = 651.0322

CV = / = 651.0322 / 21043.43 = 0.031 = 3.1%

B.

Mean of B , = (4.26 + 4.00 + 4.01 + 4.14 + 3.60 + 4.58 + 2.94 + 3.81 + 3.78 + 2.98 + 3.50) / 11

= 3.78

Variance of B = [(4.26 - 3.78)² + (4.00 - 3.78)² + (4.01 - 3.78)² + (4.14 - 3.78)² + (3.60 - 3.78)² + (4.58 - 3.78)² + (2.94 - 3.78)² + (3.81 - 3.78)² + (3.78 - 3.78)² + (2.98 - 3.78)² + (3.50 - 3.78)² ] / 11

= 0.2558564

Standard deviation of B, = = 0.5058

CV = / = 0.5058 / 3.78 = 0.1338 = 13.4%

orchestra answered 2 years ago

Consider the following sets of sample data: A: 20,58920,589, 21,89921,899, 22,00022,000, 22,11222,112, 22,11322,113, 20,95520,955, 21,42321,423, 20,84520,845,...

Consider the following sets of sample data: A: 20,58920,589, 21,89921,899, 22,00022,000, 22,11222,112, 22,11322,113, 20,95520,955, 21,42321,423, 20,84520,845, 21,68321,683, 21,71521,715, 21,31521,315, 22,13322,133, 20,10320,103, 20,18220,182 B: 2.912.91, 4.074.07, 3.803.80, 4.794.79, 3.653.65, 4.444.44, 3.383.38, 4.494.49, 3.733.73, 3.113.11, 3.103.10 Copy Data Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Consider the following sets of sample data: A: 145, 126, 120, 97, 123, 119, 115, 96,...

Consider the following sets of sample data: A: 145, 126, 120, 97, 123, 119, 115, 96, 134, 125, 96, 125, 145, 106 B: 4.09, 4.49, 4.52, 4.62, 4.15, 2.93, 3.91, 4.88, 4.54, 4.66, 4.44 Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Consider the following sets of sample data: A: $30,600, $29,900, $37,500, $29,200, $25,100, $37,400, $26,100, $35,400,...

Consider the following sets of sample data: A: $30,600, $29,900, $37,500, $29,200, $25,100, $37,400, $26,100, $35,400, $31,500, $34,600, $33,200, $23,100, $25,200, $38,000 B: 89, 78, 85, 81, 76, 97, 70, 73, 88, 76, 99 Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place. CV FOR DATA SET A: CV FOR DATA SET B: Step 2 of 2: Which of the above sets of sample data...

Consider the following two sample data sets. Set 1: 5 3 2 8 6 Set 2:...

Consider the following two sample data sets. Set 1: 5 3 2 8 6 Set 2: 3 12 13 2 7 a. Calculate the coefficient of variation for each data set. b. Which data set has more variability? a. The coefficient of variation for set 1 is nothing %. (Round to one decimal place as needed.)

Each of the following three data sets represents the IQ scores of a random sample of...

Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100. For each data set, determine the sample standard deviation. Then recompute the sample standard deviation assuming that the individual whose IQ is 108 is accidentally recorded as 180. For each sample size, state what happens to the standard deviation. Comment on the role that the number of observations plays in resistance....

Averages and variation Consider two data sets A and B. The sets are identical except the...

Averages and variation Consider two data sets A and B. The sets are identical except the high value of the data set B is three times greater than the high value of data set A. (a) How does the median of the two data sets compare? (b) How do the means of the two data sets compare? (c) How do the standard deviations of the two data sets compare? (d) How do the box- and –whisker plots of the two...

Consider the following data sets. Find the mean, median, and range for each of the two...

Consider the following data sets. Find the mean, median, and range for each of the two data sets. Give the five-number summary and draw a boxplot for each of the two data sets. Find the standard deviation for each of the two data sets. Apply the range rule of thumb to estimate the standard deviation of each of the two data sets. How well does the rule work in each case? Briefly discuss why it does or does not work...

(c) Compute the sample correlation coefficient r for each of the following data sets and show...

(c) Compute the sample correlation coefficient r for each of the following data sets and show that r is the same for both. (Use 3 decimal places.) (i) x 6 1 9 y 4 2 5 (ii)x 4 2 5 y6 1 9

Consider the following three data sets which shows the students’ results for test in the new...

Consider the following three data sets which shows the students’ results for test in the new course launched in the undergraduate program across three sections. Class A:{65;75;73;50;60;64;69;62;67;85} Class B:{85;79;57;39;45;71;67;87;91;49} Class C: {43;51;53;110;50;48;87;69;68;91} Using appropriate statistical tools- numerical and graphical, describe the similarity and differences in the students’ performance among the three classes.

Consider the following data: and What is the sample regression equation?