The table below gives the percent of children under five considered to be underweight. Percent of Underweight Children Number of Countries 16–21.45 23 21.45–26.9 4 26.9–32.35 7 32.35–37.8 6 37.8–43.25 6 43.25–48.7 2 What is the best estimate for the mean percentage of underweight children? (Round your answer to two decimal places.) What is the standard deviation? (Round your answer to two decimal places.) Which interval(s) could be considered unusual? Explain. The intervals 37.25-43.25 and 43.25-48.7 could be considered unusually high since they contain values that are at least two standard deviations above the mean percentage of underweight children. None of the intervals could be considered unusual since none of them contain any values in the range of ±2sx. The interval 16-21.45 could be considered unusually low since it contains values that are at least two standard deviations below the mean percentage of underweight children. The interval 43.25-48.7 could be considered unusually high since it contains values that are at least two standard deviations above the mean percentage of underweight children.
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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The table below gives the percent of children under five considered to be underweight.
| Percent of Underweight Children | Number of Countries |
|---|---|
| 16–21.45 | 23 |
| 21.45–26.9 | 4 |
| 26.9–32.35 | 7 |
| 32.35–37.8 | 6 |
| 37.8–43.25 | 6 |
| 43.25–48.7 | 2 |
What is the best estimate for the mean percentage of underweight children? (Round your answer to two decimal places.)
What is the standard deviation? (Round your answer to two decimal places.)
Which interval(s) could be considered unusual? Explain.
- The intervals 37.25-43.25 and 43.25-48.7 could be considered unusually high since they contain values that are at least two standard deviations above the mean percentage of underweight children.
- None of the intervals could be considered unusual since none of them contain any values in the
range of ±2sx.
- The interval 16-21.45 could be considered unusually low since it contains values that are at least two standard deviations below the mean percentage of underweight children.
- The interval 43.25-48.7 could be considered unusually high since it contains values that are at least two standard deviations above the mean percentage of underweight children.
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