Chapter 5: Statistics
Exercise 5.1 Solutions
1. Fill in the blanks.
Solution:
- (i) The collected information is called Data.
- (ii) An example of a Primary Data is Attendance list of students collected by a teacher in a class (or any direct headcount/survey).
- (iii) An example of a Secondary Data is Cricket match scores obtained from a website/television (or data gathered from a pre-published source).
- (iv) The tally marks for number 8 in standard form is |||| ||| (A bundle of 5 followed by 3 vertical lines).
2. Viji threw a die 30 times and noted down the result each time as follows. Prepare a table on the numbers shown using Tally Marks.
Solution:
| Number on Die | Tally Marks | Frequency (No. of times) |
|---|---|---|
| 1 | |||| | 4 |
| 2 | || | 2 |
| 3 | || | 2 |
| 4 | |||| | 5 |
| 5 | |||| ||| | 8 |
| 6 | |||| || | 9 |
| Total | - | 30 |
3. The following list tells colours liked by 25 students. Prepare a table using Tally Marks.
Solution:
| Colours | Tally Marks | Frequency (No. of students) |
|---|---|---|
| Red | |||| | 4 |
| Blue | |||| || | 7 |
| White | || | 2 |
| Grey | |||| || | 7 |
| Green | |||| | 5 |
| Total | - | 25 |
4. The following are the marks obtained by 30 students in a class test out of 20 in Mathematics subject. Prepare a table using Tally Marks.
Solution:
| Marks | Tally Marks | Frequency (No. of students) |
|---|---|---|
| 11 | || | 2 |
| 12 | |||| | 5 |
| 13 | |||| | 4 |
| 14 | |||| | 4 |
| 15 | |||| || | 7 |
| 16 | |||| | 4 |
| 17 | || | 2 |
| 18 | | | 1 |
| 19 | | | 1 |
| 20 | | | 1 |
| Total | - | 30 |
5. The table shows the number of calls recorded by a Fire Service Station in one year. Complete the table and answer the following questions.
Solution:
Completed Table:
| Types of Calls | Tally Marks | Frequency |
|---|---|---|
| Building Fires | |||| || | 7 |
| Other Fires | |||| |||| | | 11 |
| Hazardous Materials | |||| || | 7 |
| Rescues | |||| | 4 |
| False Alarms | |||| || | 7 |
| Total | - | 36 |
Answers to sub-questions:
- (i) Which type of call was recorded the most?
Answer: Other Fires (11 calls). - (ii) Which type of call was recorded the least?
Answer: Rescues (4 calls). - (iii) How many calls were recorded in all?
Answer: 36 calls ($7 + 11 + 7 + 4 + 7 = 36$). - (iv) How many calls were recorded as False Alarms?
Answer: 7 calls.
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