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प्रश्न
What do you understand by the word “statistics” in
(i) Singular form
(ii) Plural form?
उत्तर
The word “Statistics” is used in both its singular as well as its plural senses.
(i) In singular sense: Statistics may be defined as the science of collection, presentation, analysis and interpretation of numerical data
(ii) In plural sense: Statistics means numerical facts or observations collected with definite purpose
(iii) For example: Income and expenditure of persons in a particular locality, number males and females in a particular town are statistics.
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संबंधित प्रश्न
What is primary data?
Which of the two – the primary or the secondary data – is more reliable and why?
Explain the meaning of the term Class limits.
Find the mean, median and mode of the following data
| Class | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 | 100 – 120 | 120 – 140 |
| Frequency | 6 | 8 | 10 | 12 | 6 | 5 | 3 |
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.
For a certain distribution, mode and median were found to be 1000 and 1250 respectively. Find mean for this distribution using an empirical relation.
Find the class marks of classes 10 -25 and 35 – 55.
The median of 19 observations is 30. Two more observation are made and the values of these are 8 and 32. Find the median of the 21 observations taken together.
Hint Since 8 is less than 30 and 32 is more than 30, so the value of median (middle value) remains unchanged.
In the following data, find the values of p and q. Also, find the median class and modal class.
| Class | Frequency (f) | Cumulative frequency (cf) |
| 100 – 200 | 11 | 11 |
| 200 – 300 | 12 | p |
| 300 – 400 | 10 | 33 |
| 400- 500 | Q | 46 |
| 500 – 600 | 20 | 66 |
| 600 – 700 | 14 | 80 |
The daily income of a sample of 50 employees are tabulated as follows:
| Income (in Rs.): | 1-1200 | 201 -400 | 401-600 | 601 - 800 |
| No.of employees : | 14 | 15 | 14 | 7 |
Find the mean daily income of employees.
