Americans tend to dine out multiple times per week. The number of times a sample of 20 families dined out last week provides the following data. 7 1 6 4 8 4 0 3 1 3 4 1 2 4 1 1 5 7 4 1 (a) Compute the mean and median. mean median (b) Compute the first and third quartiles. first quartile third quartile (c) Compute the range and interquartile range. range interquartile range
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.
Americans tend to dine out multiple times per week. The number of times a sample of 20 families dined out last week provides the following data.
7 1 6 4 8 4 0 3 1 3
4 1 2 4 1 1 5 7 4 1
(a)
Compute the mean and
mean
median
(b)
Compute the first and third
first quartile
third quartile
(c)
Compute the
range
interquartile range
(d)
Compute the variance and standard deviation. (Round your answers to two decimal places.)
variance
standard deviation
(e)
The skewness measure for these data is 0.46. Comment on the shape of this distribution.
The skewness measure of 0.46 indicates the data are somewhat
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.
Is it the shape you would expect? Why or why not?
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, most people dine out a relatively few times per week and a few families dine out very frequently, therefore we would expect the data to be
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.
(f)
Compute the lower and upper limits
lower limit
upper limit
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