The pie chart shows the responses of a sample of 336 small business owners who were asked whether their business has a website. Find the mean, the median, and the mode of the data, if possible. If any measure cannot be found or does not represent the center of the data, explain why. A pie chart titled "Small Businesses" is divided into six sectors with labels and approximate sizes as a percentage of the circle as follows: "Yes, since 2014 or earlier," 4 percent; "No, neither likely nor unlikely in the future," 13 percent; "No, unlikely in the future," 15 percent; "No, but likely in 2017 or later," 14 percent; "No, but plan to in 2016," 13 percent; "Yes, since 2015," 40 percent. Small Businesses Yes, since 2014 or earlier 15 No, neither likely nor unlikely in the future 43 No, unlikely in the future 51 No, but likely in 2017 or later 47 No, but plan to in 2016 45 Yes, since 2015 135 Find the mean. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean is nothing.(Round to one decimal place as needed.) B. The mean cannot be calculated because the sample size is too small. C. The mean cannot be calculated because the data are at the nominal level of measurement. D. The mean cannot be calculated because there is an even number of data entries. Does the mean represent the center of the data? Choose the correct answer below. A. The mean represents the center of the data set. B. The mean does not represent the center because it is not a data entry. C. The mean does not represent the center because it is the greatest data entry. D. The mean does not represent the center because it is the least data entry. E. The data set does not have a mean. Find the median. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The median is nothing.(Round to one decimal place as needed.) B. The median cannot be calculated because the data are at the nominal level of measurement. C. The median cannot be calculated because there is an even number of data entries. D. The median cannot be calculated because the sample size is too small. Does the median represent the center of the data? Choose the correct answer below. A. The median represents the center of the data set. B. The median does not represent the center because it is the least data entry. C. The median does not represent the center because it is the greatest data entry. D. The median does not represent the center because it is not a data entry. E. The data set does not have a median. Find the mode. Choose the correct answer below. Yes, since 2015 No, but plan to in 2016 No, neither likely nor unlikely in the future Yes, since 2014 or earlier No, unlikely in the future No, but likely in 2017 or later The data set does not have a mode. Does the mode represent a typical entry of the data? Choose the correct answer below. A. The mode represents a typical entry of the data set. B. The mode does not represent the center because it is the last data entry in the table. C. The mode does not represent the center because it is the first data entry in the table. D. The mode does not represent the center because it is not a data entry. E. The data set does not have a mode. Click to select your answer.
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.
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