The temperature measured on the top of Big Bear Mountain at 10:00am on 12 consecutive days is as follows: 54, 55, 55, 39, 42, 55, 55, 56, 47, 64, 69, 65 Find the mean, median, and mode. Find the sample variance and standard deviation. What percentage of the observations fall within two standard deviations of the mean? Comment (i.e., say something about the distribution of the data and offer some supporting evidence without actually graphing the relative frequency distribution).
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.
- The temperature measured on the top of Big Bear Mountain at 10:00am on 12 consecutive days is as follows:
54, 55, 55, 39, 42, 55, 55, 56, 47, 64, 69, 65
- Find the mean, median, and
mode . - Find the sample variance and standard deviation.
- What percentage of the observations fall within two standard deviations of the mean? Comment (i.e., say something about the distribution of the data and offer some supporting evidence without actually graphing the relative frequency distribution).
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