(i) Sample of size 30 (ii) Sample of size 50 12+ 10+ 4. х х 9. 9. 10 10 11 11 12 (iii) Sample of size 100 25- 20- х 9. 10 12 11 Frequency Frequency 12 Frequency - 00 Largest Value Smallest Value Histogram (i) Histogram (ii) Histogram (ii)
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.
Histograms of random sample data are often used as an indication of the shape of the underlying population distribution. The histograms on below are based on random samples of size 30, 50, and 100 from the same population.
(a) Using the midpoint labels of the three histograms, what would you say about the estimated
Complete the table giving the range of the sample data in each of the histograms.
Based on the completed table, select the most reasonable estimate of the range of the population data.
Does the bulk of the data seem to be between 8 and 12 in all three histograms?
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