1) In the data set below, what are the lower quartile, the median, and the upper quartile? 48 48 58 74 80 84 93
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.
![### Understanding Quartiles in a Data Set
**Exercise: Identifying Quartiles**
Given the data set below, calculate the following quartiles:
- Lower quartile (Q1)
- Median (Q2)
- Upper quartile (Q3)
**Data Set:**
\[48, 48, 58, 74, 80, 84, 93\]
#### Instructions:
1. **Lower quartile (Q1)**: Fill in the value of Q1.
- \( \text{lower quartile} = \_\_\_\_\_ \)
2. **Median (Q2)**: Fill in the value of Q2.
- \( \text{median} = \_\_\_\_\_ \)
3. **Upper quartile (Q3)**: Fill in the value of Q3.
- \( \text{upper quartile} = \_\_\_\_\_ \)
Once you’ve determined the values, click the "Submit" button to verify your answers.
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Use this exercise to understand how to calculate and interpret quartiles in a given data set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4ece33a5-ce6e-460b-908e-aaa41c92505a%2F3a5347cc-502b-4317-92db-2da68c56ab6b%2Fz1l6vlk_processed.jpeg&w=3840&q=75)
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