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.
![**Interpret Box Plot**
**Jun 18, 10:29:13 PM**
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The box-and-whisker plot below represents some data set. What percentage of the data values are between 44 and 76?
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*Box-and-Whisker Plot Explanation*
A box-and-whisker plot is a data visualization tool that displays the distribution of a data set. This type of plot includes the minimum value, lower quartile, median, upper quartile, and maximum value. The "box" represents the interquartile range (IQR), and the "whiskers" represent the range of the data outside the IQR.
*Detailed Description of the Plot:*
1. **Horizontal Axis:** The scale runs from 0 to 100, marked at intervals of 20 units.
2. **Minimum Value:** The leftmost point on the plot (whisker) is at approximately 10.
3. **Lower Quartile (Q1):** The left edge of the box is at approximately 44.
4. **Median (Q2):** The middle line of the box is at approximately 55.
5. **Upper Quartile (Q3):** The right edge of the box is at approximately 76.
6. **Maximum Value:** The rightmost point on the plot (whisker) is at approximately 90.
The box-and-whisker plot shows the distribution of the data, with 25% of the data values lying between the minimum value and the lower quartile, 25% of the data between the median and the upper quartile, and the remaining 25% between the upper quartile and the maximum value.
Since the values between 44 and 76 cover the entire interquartile range (IQR), the percentage of the data values within this range is:
**Answer: 50%**
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