The following frequency distribution table contains information about the data usage of internet customers in a certain region during the past year.
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.
![### Bar Graph Analysis: Frequency Distribution
#### Description:
The image presents a bar graph that illustrates the frequency distribution of various categories numbered along the x-axis. The data is displayed across a grid with corresponding frequencies on the y-axis. Each bar is color-coded to represent different categories, with their frequencies numerically labeled at the top of each bar.
#### Graph Specifications:
- **X-Axis (Categories)**:
- The categories are labeled from 1 to 12.
- Each category corresponds to an individual bar.
- **Y-Axis (Frequency)**:
- The frequency ranges from 0 to 10.
- Each bar's height corresponds to the frequency of that category.
#### Detailed Breakdown:
1. **Category 2**:
- **Color**: Red
- **Frequency**: 4
2. **Category 4**:
- **Color**: Blue
- **Frequency**: 9
3. **Category 5**:
- **Color**: Green
- **Frequency**: 1
4. **Category 7**:
- **Color**: Orange
- **Frequency**: 2
5. **Category 8**:
- **Color**: Purple
- **Frequency**: 7
6. **Category 12**:
- **Color**: Gray
- **Frequency**: 2
#### Key Observations:
- The highest frequency is observed in Category 4, with a frequency of 9.
- The lowest frequency is observed in Category 5, with a frequency of 1.
- Categories 7 and 12 share the same frequency of 2.
- Category 8 has a high frequency of 7.
This bar graph aids in visualizing the frequency distribution across different categories, allowing for easy comparison and analysis of the data.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0c77ec1-cc04-466d-9f5e-c11aa0231983%2F56aeeb47-c50e-4691-b37c-48f2ff7d6556%2Fn27mppi.jpeg&w=3840&q=75)
![### Internet Customer Data Usage Analysis
The following frequency distribution table contains information about the data usage of internet customers in a certain region during the past year.
| Data Usage (in GB) | Number of Customers (in tens of millions) |
|--------------------|------------------------------------------|
| 0.5-2.5 | 9 |
| 2.5-4.5 | 4 |
| 4.5-6.5 | 7 |
| 6.5-8.5 | 9 |
| 8.5-10.5 | 6 |
| 10.5-12.5 | 6 |
### Instructions:
To better understand the distribution, create the corresponding histogram to represent this data below. Drag the dots on the top of the histogram to create the chart.
### Histogram Details:
1. **X-Axis (Data Usage in GB)**:
- This axis should be divided into intervals as indicated in the table: 0.5-2.5, 2.5-4.5, 4.5-6.5, 6.5-8.5, 8.5-10.5, and 10.5-12.5.
2. **Y-Axis (Number of Customers in Tens of Millions)**:
- The height of each bar on the histogram should correspond to the number of customers in each data usage interval as provided in the table.
3. **Data Points**:
- Bar for 0.5-2.5 GB at 9 (tens of millions)
- Bar for 2.5-4.5 GB at 4 (tens of millions)
- Bar for 4.5-6.5 GB at 7 (tens of millions)
- Bar for 6.5-8.5 GB at 9 (tens of millions)
- Bar for 8.5-10.5 GB at 6 (tens of millions)
- Bar for 10.5-12.5 GB at 6 (tens of millions)
The created histogram will allow visual comparison of internet data usage among customers in the region, highlighting how many customers fall into each data usage category.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff0c77ec1-cc04-466d-9f5e-c11aa0231983%2F56aeeb47-c50e-4691-b37c-48f2ff7d6556%2F93dnk4m.jpeg&w=3840&q=75)
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