The newspapers Hindu (H), Times of India (T), Indian Express (I), and Deccan chronicle (D) are read by 24 members as follows.
H, H, I, D, T, H, T, D, I, T, D, D, H, I, T, H, D, I, D, D, H, I, T, T
Represent the above data in the form of a frequency distribution table.
Answer
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Hint: Here we count the total number of observations first and arrange the data in ascending order. Count the number of times each observation is being repeated. Draw a frequency table that shows the frequency of each observation.
Complete step-by-step answer:
We are given the data H, H, I, D, T, H, T, D, I, T, D, D, H, I, T, H, D, I, D, D, H, I, T, and T.
Representation of data in a tabular or graphic format which states the frequency (number of times observation occurs within a particular interval) is known as frequency distribution. The importance of frequency distribution in statistics is immense. A well-structured frequency distribution creates the possibility of a detailed analysis of the structure of information. So, the groups where the population breaks down can easily be determined.
The frequency distribution table is a table that represents the frequency (number of times observation is repeated) of an observation. The Sum of frequencies is always equal to the total number of observations in the data.
The total number of observations is 24.
We arrange the data in ascending order.
D, D, D, D, D, D, D, H, H, H, H, H, H, I, I, I, I, I, T, T, T, T, T, T
The observations that are being repeated are D, H, I, and T.
Now we draw a frequency distribution table.
Note: Frequency of a number is the number of times the number occurred in the experiment. Frequencies can be represented using histograms, bar graphs, etc. Arrange the frequencies in an order i.e from largest to smallest. The total sum of the frequencies must be equal to the number of observations given.
Complete step-by-step answer:
We are given the data H, H, I, D, T, H, T, D, I, T, D, D, H, I, T, H, D, I, D, D, H, I, T, and T.
Representation of data in a tabular or graphic format which states the frequency (number of times observation occurs within a particular interval) is known as frequency distribution. The importance of frequency distribution in statistics is immense. A well-structured frequency distribution creates the possibility of a detailed analysis of the structure of information. So, the groups where the population breaks down can easily be determined.
The frequency distribution table is a table that represents the frequency (number of times observation is repeated) of an observation. The Sum of frequencies is always equal to the total number of observations in the data.
The total number of observations is 24.
We arrange the data in ascending order.
D, D, D, D, D, D, D, H, H, H, H, H, H, I, I, I, I, I, T, T, T, T, T, T
The observations that are being repeated are D, H, I, and T.
Now we draw a frequency distribution table.
| Observations | Frequency |
| D | 7 |
| I | 6 |
| H | 5 |
| T | 6 |
Note: Frequency of a number is the number of times the number occurred in the experiment. Frequencies can be represented using histograms, bar graphs, etc. Arrange the frequencies in an order i.e from largest to smallest. The total sum of the frequencies must be equal to the number of observations given.
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