Consider the following data values. 16 61 19 29 47 8 O a) Calculate the mean. b) Calculate the median. c) Determine the mode. d) Describe the shape of the distribution. ..... a) Calculate the mean. x= Type an integer or decimal rounded to three decimal places as needed.)
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![Consider the following data values.
16 61
19 29 47 8 0
a) Calculate the mean.
b) Calculate the median.
c) Determine the mode.
d) Describe the shape of the distribution.
a) Calculate the mean.
(Type an integer or decimal rounded to three decimal places as needed.)
b) Calculate the median.
Median = (Do not round.)
c) Determine the mode(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The mode(s) is(are)
(Use a comma to separate answers as needed.)
O B. There is no mode in this data set.
d) Describe the shape of the distribution. For the purposes of this exercise, consider the mean and the median to be "approximately equal" if their difference is less than 1. Choose the correct answer below
O A. Because the mean is less than the median, this distribution's shape is left-skewed.
O B. Because the mean is greater than the median, this distribution's shape is right-skewed.
OC. Because the mean and median are approximately equal, this distribution's shape is symmetrical.
O D. Because the mean is greater than the median, this distribution's shape is symmetrical.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68cc5e62-1f1e-447e-86e2-72966307f0c4%2F94e4430c-baf3-44e4-bccc-cf845c3a83f2%2F4lha12i_processed.jpeg&w=3840&q=75)
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