The data show the number of hours of television watched per day by a sample of 11 people. 25 19 4 6 10 3 8 7 7 9 a. Obtain the quartiles. b. Determine the interquartile range (IQR). c. Find the five-number summary. a. Obtain the quartiles. Q1 = Q2 Q3 (Type integers or decimals.) b. Calculate the interquartile range. IQR = (Type an integer or a decimal.) c. Find the five-number summary.
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.
![**Data Analysis Exercise: Understanding Quartiles and the Five-Number Summary**
The exercise focuses on analyzing a dataset showing the number of hours of television watched per day by a sample of 11 people. The data points are as follows:
```
2, 5, 1, 9, 4, 6, 10, 3, 8, 7, 7
```
### Tasks:
1. **Obtain the Quartiles**
- Determine the first quartile (Q1), second quartile (Q2), and third quartile (Q3).
2. **Determine the Interquartile Range (IQR)**
- Calculate the interquartile range, which is the difference between the third quartile and the first quartile.
3. **Find the Five-Number Summary**
- Identify the five key data points: minimum, Q1, median (Q2), Q3, and maximum.
### Exercise Details:
#### a. Obtain the Quartiles:
- **Q1 =** [Enter response here]
- **Q2 =** [Enter response here]
- **Q3 =** [Enter response here]
*(Type integers or decimals.)*
#### b. Calculate the Interquartile Range:
- **IQR =** [Enter response here]
*(Type an integer or a decimal.)*
#### c. Find the Five-Number Summary:
- [Enter response here in ascending order]
*(Type integers or decimals. Use ascending order.)*
This exercise helps to understand the distribution of the dataset by identifying central tendencies and dispersions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60822544-7bcc-45bf-bdad-6034f818d229%2F54c9f1d0-a127-408b-89d8-53b014a1b955%2Fi6fy6h_processed.jpeg&w=3840&q=75)
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