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प्रश्न
Explain the difference between a frequency distribution and a cumulative frequency distribution.
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उत्तर
Frequencies table or frequency distribution is a method to represent raw data in the form from which one can easily understand the information contained in a raw data , where as a table which plays the manner in which cumulative frequencies are distributed over various classes is called a cumulative frequency distribution.
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संबंधित प्रश्न
Describe some fundamental characteristics of statistics.
Explain the meaning of the term Frequency.
Define cumulative frequency distribution.
Find the mean, median and mode of the following data:
| Class | 0 – 50 | 50 – 100 | 100 – 150 | 150 – 200 | 200 – 250 | 250 – 300 | 300 - 350 |
| Frequency | 2 | 3 | 5 | 6 | 5 | 3 | 1 |
The table below shows the daily expenditure on food of 30 households in a locality:
| Daily expenditure (in Rs) | Number of households |
| 100 – 150 | 6 |
| 150 – 200 | 7 |
| 200 – 250 | 12 |
| 250 – 300 | 3 |
| 300 – 350 | 2 |
Find the mean and median daily expenditure on food.
While calculating the mean of a given data by the assumed-mean method, the following
values were obtained.
`A=25, sum f_i d_i=110, sum f_i= 50`
Find the mean.
If the median of `x/5,x/4,x/2,x and x/3`, where x > 0, is 8, find the value of x.
Hint Arranging the observations in ascending order, we have `x/5,x/4,x/3,x/2,x Median= x/3=8.`
The monthly income of 100 families are given as below :
| Income in ( in ₹) | Number of families |
| 0-5000 | 8 |
| 5000-10000 | 26 |
| 10000-15000 | 41 |
| 15000-20000 | 16 |
| 20000-25000 | 3 |
| 25000-30000 | 3 |
| 30000-35000 | 2 |
| 35000-40000 | 1 |
Calculate the modal income.
Explain the meaning of the following terms: Frequency
The times, in seconds, taken by 150 athletes to run a 110 m hurdle race are tabulated below:
| Class | Frequency |
| 13.8 - 14 | 3 |
| 14 - 14.2 | 4 |
| 14.2 - 14.4 | 6 |
| 14.4 - 14.6 | 69 |
| 14.6 - 14.8 | 48 |
| 14.8 - 15.0 | 20 |
The number of athletes who completed the race in less than 14.6 seconds is?
