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.

Solutions

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 :

There is no any outlier.

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

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orchestra answered 1 year ago

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