dietician obtains a sample of the amounts of sugar (in centigrams) in each of 10 different cereals, including Cheerios, Corn Flakes, Fruit Loops and others. 24 30 47 43 7 47 13 44 39 10 Find the mean amount of sugar. – If necessary R
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.
A dietician obtains a sample of the amounts of sugar (in centigrams) in each of 10 different cereals, including Cheerios, Corn Flakes, Fruit Loops and others.
24 30 47 43 7 47 13 44 39 10
- Find the mean amount of sugar. – If necessary ROUND to the nearest hundredth place. The mean is ___(blank)
- Complete the table. HINT: use your graphing calculator
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Data Values
"X"The distance from the "X"
value to the meanThe (distance)^2 24 -6.4 ___ 30 ___ ___ 47 16.6 ___ 43 ___ ___ 7 -23.4 ___ 47 ___ ___ 13 ___ 302.76 44 ___ ___ 39 ___ 73.96 10 ___ ___ - Find the VARIANCE. If necessary, round the variance to the nearest thousandths. The variance is ___ (blank)
- Find the standard deviation. If necessary, round the standard deviation to the nearest hundredths. The standard deviation is ___ (blank)
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