Solve the problem The ages of a sample of Canadian tourists flying from Kelowna to Vancouver were: 38 21 52 47 54 17 72 56 33 41 a. Find the mean and standard deviation. b. Add 2 to each number and find the mean and standard deviation. Form a general conclusion about the effect of adding a constant. c. Multiply each number by 2 and then find the mean and standard deviation. Form a general conclusion about multiplication by a constant.
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.
Solve the problem
The ages of a sample of Canadian tourists flying from Kelowna to Vancouver
were:
38 21 52 47 54 17 72 56 33 41
a. Find the mean and standard deviation.
b. Add 2 to each number and find the mean and standard deviation. Form a
general conclusion about the effect of adding a constant.
c. Multiply each number by 2 and then find the mean and standard deviation.
Form a general conclusion about multiplication by a constant.
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