The following frequency distribution represents the amount of sugar in mg/I for a sample of 104 bottled drinks: Amount of sugar (mg/l) 0 - 5 5 - 10 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40 40 – 45 45 - 50 Number of bottled drinks 12 14 19 2X+3 13 11 6. 2 a. Compute the average amount of sugar in mg/l of the bottled drinks. Answer in exact fraction, or rounded to at least 3 decimal places mg/l b. Determine the standard deviation of the amount of sugar of the bottled drinks. Answer in exact fraction, or rounded to at least 4 decimal places.
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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