A physiological study examined the rate of energy conversion for adults and children. This was measured as number of grams of fat converted per day. The results for forty adults and forty children are summarised in the table. Group Cases Min 25th Median 75th Max Child 40 47 51 53 55 60 Adult 40 19 54.5 72.5 90 116 Summary of rate of energy conversions in g of fat per day. Use an appropriate graphical display to compare the distributions for the groups. Comment on the two distributions.
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 physiological study examined the rate of energy conversion for adults and children. This was measured as number of grams of fat converted per day. The results for forty adults and forty children are summarised in the table.
|
Group |
Cases |
Min |
25th |
|
75th |
Max |
|
Child |
40 |
47 |
51 |
53 |
55 |
60 |
|
Adult |
40 |
19 |
54.5 |
72.5 |
90 |
116 |
Summary of rate of energy conversions in g of fat per day.
Use an appropriate graphical display to compare the distributions for the groups.
Comment on the two distributions.
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