The Table Shows Information About the Number of Hours 30 Children Spent on Their Tablets One Evening

Oct 13, 2025 by magicalceylontours.com 34 views

The Table Shows Information About the Number of Hours 30 Children Spent on Their Tablets One Evening

Understanding the Problem

The given table displays the number of hours 30 children spent on their tablets one evening. The table consists of two columns: the number of hours spent on the tablet and the corresponding frequency. In this problem, we are required to find the class interval that contains the median.

Analyzing the Data

To find the class interval that contains the median, we need to first understand the concept of median. The median is the middle value of a dataset when it is arranged in ascending order. Since there are 30 children in the dataset, the median will be the 15th value when the data is arranged in ascending order.

Calculating the Median

To calculate the median, we need to find the cumulative frequency of each class interval. The cumulative frequency is the total frequency of all class intervals up to a particular class interval.

Number of hours (h)	Frequency	Cumulative Frequency
0	2	2
1	4	6
2	6	12
3	4	16
4	6	22
5	4	26
6	2	28
7	2	30

Finding the Class Interval that Contains the Median

From the cumulative frequency table, we can see that the 15th value falls in the class interval 2-3. This is because the cumulative frequency of the class interval 0-1 is 6, and the cumulative frequency of the class interval 1-2 is 12. Therefore, the class interval 2-3 contains the median.

Conclusion

In conclusion, the class interval that contains the median is 2-3. This means that the 15th value in the dataset falls in the range of 2-3 hours.

Discussion Category: Mathematics

The problem presented in this article involves the concept of median and its calculation. The median is an important measure of central tendency in statistics, and it is widely used in various fields such as medicine, economics, and social sciences.

Key Concepts

Median: The middle value of a dataset when it is arranged in ascending order.
Cumulative frequency: The total frequency of all class intervals up to a particular class interval.
Class interval: A range of values that a variable can take.

Real-World Applications

The concept of median has numerous real-world applications. For example, in medicine, the median can be used to calculate the average blood pressure of a group of patients. In economics, the median can be used to calculate the average income of a group of people. In social sciences, the median can be used to calculate the average age of a group of people.

Tips and Tricks

When calculating the median, make sure to arrange the data in ascending order.
When calculating the cumulative frequency, make sure to add the frequency of each class interval to the cumulative frequency of the previous class interval.
When finding the class interval that contains the median, make sure to look for the class interval that contains the 15th value.

Conclusion

In conclusion, the class interval that contains the median is 2-3. This means that the 15th value in the dataset falls in the range of 2-3 hours. The concept of median is an important measure of central tendency in statistics, and it has numerous real-world applications.
The Table Shows Information About the Number of Hours 30 Children Spent on Their Tablets One Evening: Q&A

Understanding the Problem

Q&A

Q: What is the median? A: The median is the middle value of a dataset when it is arranged in ascending order.

Q: How do I calculate the median? A: To calculate the median, you need to first arrange the data in ascending order. Then, you need to find the cumulative frequency of each class interval. The cumulative frequency is the total frequency of all class intervals up to a particular class interval.

Q: What is the cumulative frequency? A: The cumulative frequency is the total frequency of all class intervals up to a particular class interval.

Q: How do I find the class interval that contains the median? A: To find the class interval that contains the median, you need to look for the class interval that contains the 15th value when the data is arranged in ascending order.

Q: What if the dataset has an even number of values? A: If the dataset has an even number of values, the median is the average of the two middle values.

Q: What if the dataset has a large number of values? A: If the dataset has a large number of values, you can use a calculator or a computer program to calculate the median.

Q: Can I use the median to compare two datasets? A: Yes, you can use the median to compare two datasets. However, you need to make sure that the datasets have the same units and that the data is normally distributed.

Q: What are some real-world applications of the median? A: The median has numerous real-world applications, including medicine, economics, and social sciences. For example, in medicine, the median can be used to calculate the average blood pressure of a group of patients. In economics, the median can be used to calculate the average income of a group of people. In social sciences, the median can be used to calculate the average age of a group of people.

Q: What are some tips and tricks for calculating the median? A: Here are some tips and tricks for calculating the median:

Make sure to arrange the data in ascending order.
Make sure to calculate the cumulative frequency correctly.
Make sure to look for the class interval that contains the 15th value.
Use a calculator or a computer program to calculate the median if the dataset has a large number of values.

Conclusion

In conclusion, the median is an important measure of central tendency in statistics. It has numerous real-world applications and can be used to compare two datasets. However, it requires careful calculation and attention to detail.

Discussion Category: Mathematics

Key Concepts

Median: The middle value of a dataset when it is arranged in ascending order.
Cumulative frequency: The total frequency of all class intervals up to a particular class interval.
Class interval: A range of values that a variable can take.

Real-World Applications

Tips and Tricks

When calculating the median, make sure to arrange the data in ascending order.
When calculating the cumulative frequency, make sure to add the frequency of each class interval to the cumulative frequency of the previous class interval.
When finding the class interval that contains the median, make sure to look for the class interval that contains the 15th value.

Conclusion