Question

In: Statistics and Probability

The following is a set of data from a sample of n=5. 6 7 5 2...

The following is a set of data from a sample of

n=5.

6 7 5 2 1

a. Compute the mean, median, and mode.

b. Compute the range, variance, standard deviation, and coefficient of variation.

c. Compute the Z scores. Are there any outliers?

d. Describe the shape of the data set.

Expert Solution

a) Mean = 4.2

Median = 5

Mode = Does not exist. ( Data set has no mode).

( In the given data, no observation occurs more than once.Hence the mode of the observation does not exist.)

Mode is the value in the data that occurs maximum number of times.

Calculations :

b) Range = Largest observation - smallest observation

= 7 - 1 = 6

Variance = 6.7

standard deviation = 2.5884

coefficient of variation = 61.63 %

Calculations :

c)

There is no any outlier.

d) coefficient of skewness = -0.36327 indicates data is negativity skewed ( left skewed ).

Hi Dear,
I have given my 100% to solve this question.
Please help me out by just thumbs up.
Thank you.

orchestra answered 1 year ago

The following is a set of data from a sample of n=5. 4 3 6 7...

The following is a set of data from a sample of n=5. 4 3 6 7 10. a. Compute the mean, median, and mode. b. Compute the range, variance, standarddeviation, and coefficient of variation. c. Compute the Z scores. Are there anyoutliers? d. Describe the shape of the data set.

The following set of data is from a sample of n= 7: 12 7 4 9...

The following set of data is from a sample of n= 7: 12 7 4 9 0 7 20 A) compute the mean, median, and mode. B) compute the range, variance, standard deviation, and coefficient of variation C) compute the Z score of 0 and 20. Are there any outliers? D) compute the first quartile, the third quartile, and the interquartile range

The following is a set of data from a sample of n equals 5n=5. 5 −4 −5 5 9 Please...

The following is a set of data from a sample of n equals 5n=5. 5 −4 −5 5 9 Please use a statistical application (data Analysis Toolpak for Windows, StatPlus for Mac Excel, or StatCrunch) to compute the descriptive statistics in a. and b. (If you don't know what I'm talking about, go to Module 1 Content -- Read/View -- Tutorials.) a. Compute the mean, median, and mode. b. Compute the range, sample variance, and sample standard deviation. c. Compute the coefficient of variation....

Below is a set of data from a sample of n = 11: X 3 6...

Below is a set of data from a sample of n = 11: X 3 6 10 12 4 9 15 18 7 5 8 Y 9 18 30 36 12 27 45 54 21 15 24 Answer the following questions: (a) Calculate the covariance. (b) Calculate the coefficient of correlation. (c) What conclusions can you reach about the relationship between X and Y? Explain.

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.)

Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7...

Step 2 Data Set A x 1 2 3 4 5 6 7 y 7 7 7 9 9 9 10 Data Set B x 1 2 3 4 5 6 7 8 9 10 11 y 4 6 6 6 8 9 9 9 10 10 10 Step 2 Find the equation for the least-squares line, and graph the line on the scatter plot. Find the sample correlation coefficient r and the coefficient of determination r2. Is r significant?...

The following is a set of data from a sample of n = 11 items: X...

The following is a set of data from a sample of n = 11 items: X 8 6 9 4 7 11 13 5 10 16 19 Y 22 15 25 10 19 31 37 13 27 45 54 a. Calculate the covariance. b. Calculate the coefficient of correlation. c. Describe the relation between the two variables X and Y.

1. The following set of data is from a sample of n = 8 171...

1. The following set of data is from a sample of n = 8 171 169 158 164 158 135 150 141 a) Find the mean, median, and mode. b) Calculate the variance, standard deviation, range, inter-quartile range, and coefficient of variation. c) Describe the shape of the data. d) List the five-number summary and build a boxplot.

n = 8 measurements: 5, 3, 6, 7, 6, 5, 4, 7 Calculate the sample variance,...

n = 8 measurements: 5, 3, 6, 7, 6, 5, 4, 7 Calculate the sample variance, s2, using the definition formula. (Round your answer to four decimal places.) s2 = Calculate the sample variance, s2 using the computing formula. (Round your answer to four decimal places.) s2 = Find the sample standard deviation, s. (Round your answer to three decimal places.) s =

For the following data set [ 1, 4, 3, 6, 2, 7, 18, 3, 7, 2,...

For the following data set [ 1, 4, 3, 6, 2, 7, 18, 3, 7, 2, 4, 3, 5, 3, 7] please compute the following 1. measures of central tendency (3 points) 2. standard deviation ( 5 points) 3. is 18 an outlier? (5 points) 4. describe the shape of the distribution (2 points)