Construct a frequency distribution using 5 classes

In summary, the data represents the time spent reading a political blog in a day, with a range of 0-49 minutes. To construct a frequency distribution with 5 classes, we divide the range into equal parts of 10 minutes each, resulting in the following classes: 0-9, 10-19, 20-29, 30-39, and 40-49. The table includes the midpoints, relative frequencies, and cumulative frequencies for each class. The class with the greatest frequency is 10-19 minutes and the class with the least frequency is 40-49 minutes.
  • #1
rihnavy
3
0
41 35 29 43 16 49 32 6 20 10 26 28 47 43 7 36 13 10 0 2 The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using 5 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?
Class Frequency Midpoint Relative Frequency Cumulative Fre.
0- 4
-
-
-
-
-

How do you know what the classes are?
 
Mathematics news on Phys.org
  • #2
rihnavy said:
41 35 29 43 16 49 32 6 20 10 26 28 47 43 7 36 13 10 0 2 The data represent the time, in minutes, spent reading a political blog in a day. Construct a frequency distribution using 5 classes. In the table, include the midpoints, relative frequencies, and cumulative frequencies. Which class has the greatest frequency and which has the least frequency?
Class Frequency Midpoint Relative Frequency Cumulative Fre.
0- 4
-
-
-
-
-

How do you know what the classes are?

Hi rihnavy! Welcome to MHB! ;)

By dividing the range into 5 equal parts.
The minimum is 0 and the maximum is 49.
So pick 0-9, 10-19, 20-29, 30-39, 40-49.
 

FAQ: Construct a frequency distribution using 5 classes

1. How do I determine the number of classes to use in a frequency distribution?

The number of classes to use in a frequency distribution can vary depending on the data being analyzed. A general rule of thumb is to aim for 5-20 classes, with 5 being a good starting point. It is important to consider the range and distribution of the data when determining the appropriate number of classes.

2. Can I use unequal class intervals in a frequency distribution?

Yes, it is possible to use unequal class intervals in a frequency distribution. This can be useful when dealing with data that has a wide range or extreme values. However, it is important to ensure that the intervals are still meaningful and accurately represent the data.

3. How do I determine the class limits for each class in a frequency distribution?

The class limits for each class in a frequency distribution can be determined by dividing the range of the data by the number of classes. For example, if the data ranges from 0-100 and you want to use 5 classes, the class limits would be 0-20, 21-40, 41-60, 61-80, and 81-100.

4. Should I include the highest or lowest value in the last class of a frequency distribution?

This can vary depending on the data and the purpose of the frequency distribution. In some cases, it may make sense to include the highest and lowest values in the last class in order to capture any extreme values. However, it may also be appropriate to exclude them in order to have more evenly distributed data in each class.

5. How do I determine the frequency for each class in a frequency distribution?

The frequency for each class in a frequency distribution can be determined by counting the number of data points that fall within each class interval. This can be done manually or with the help of a spreadsheet or statistical software. It is important to ensure that each data point is only counted once and is placed in the appropriate class.

Back
Top