Samacheer Kalvi Class 6 Maths Solutions Term 1 Chapter 5 Statistics Exercise 5.1

 

Question 1. Fill in the blanks.
1. The collected information is called .........
2. An example of Primary data is .........
3. An example of Secondary Data is .........
4. The tallu marlee for number o in standard form is .........
Answer:
1. Data
2. List of absentees in a class
3. Cricket scores gathered from a website
4. IIII II
In simple words: Data is raw facts and figures collected. Primary data is information gathered directly for the first time, like checking class attendance. Secondary data is information taken from sources already collected by someone else, such as looking up cricket scores online. The tally marks IIII II represent the number 7.

🎯 Exam Tip: Understand the basic definitions of data, primary data, and secondary data as they are fundamental concepts in statistics. Remember that tally marks are a simple way to count things, grouping five marks together.

 

Question 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.
1, 4, 3, 5, 5, 6, 6, 4, 3, 5, 4, 5, 6, 5, 2, 4, 2, 6, 5, 5, 6, 6, 4, 5, 6, 6, 5, 4, 1, 1
Answer:

In simple words: To make a tally table, we count how many times each number appeared when the die was rolled. We draw one line for each time it appeared, grouping every fifth line diagonally. Finally, we write the total count for each number in the frequency column. This helps organize the data easily.

🎯 Exam Tip: When preparing a tally table, always recheck your counts by summing the frequencies to ensure it matches the total number of observations given in the question.

 

Question 3. The following list tells colours liked by 25 students. Prepare a table using Tally Marks.
Red, Blue, White, Grey, White, Green, Grey, Blue, Green, Grey, Blue, Grey, Red, Green, Red, Blue, Blue, Green, Blue, Green, Grey, Grey, Green, Grey, Red
Answer:

In simple words: We count how many students liked each colour from the given list. For every count, we draw a tally mark, making groups of five. The total number of tally marks for each colour is its frequency. This organized table shows the preferences of the 25 students.

🎯 Exam Tip: When counting from a list, cross out each item as you tally it to avoid missing any or counting them twice. This simple step can prevent common errors.

 

Question 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.
11 12 13 12 12 15 16 17 18 12
20 13 13 14 14 14 15 15 15 15
16 16 16 15 14 13 12 11 19 17
Answer:

In simple words: We counted how many times each mark appeared in the list for the 30 students. Then, we made tally marks for each count, drawing a diagonal line for every fifth mark. Finally, the total tally marks for each score became its frequency. This table clearly shows the distribution of marks in the class.

🎯 Exam Tip: When making a frequency distribution table, ensure all data points are covered and the sum of frequencies matches the total number of items provided.

 

Question 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.
(i) Which type of call was recorded the most?
(ii) Which type of call was recorded the least?
(iii) How many calls were recorded in all?
Answer:
First, let's complete the table:

(i) The call for "Other Fires" was recorded the most (11 times).
(ii) The call for "Rescues" was recorded the least (4 times).
(iii) The total of 35 calls was recorded in all.
(iv) There were 7 calls recorded as False alarms.In simple words: First, we complete the table by counting the tally marks or converting the frequency to tally marks. After that, we look at the 'Frequency' column to find the highest and lowest numbers. The highest frequency shows the most common call, and the lowest frequency shows the least common call. Adding all the frequencies together gives us the total number of calls.

🎯 Exam Tip: Always double-check your calculations when completing a table, especially the total frequency, as errors here will lead to incorrect answers for subsequent questions.

 

Question 6. The tally marks for the number 7 in standard form is .........
(a) 7
(b) IIII II
(c) ✓✓✓✓✓✓✓
(d) IIII
Answer: (b) IIII II
In simple words: Tally marks are a way to count things. For the number 7, we draw a group of five marks (IIII) and then two more single marks (II), making a total of seven.

🎯 Exam Tip: Remember the standard way to write tally marks, where four vertical lines are crossed by a fifth diagonal line to represent a group of five, making counting easier.

 

Question 7. The tally marks IIII IIII represents the number count
(a) 5
(b) 8
(c) 9
(d) 10
Answer: (c) 9
In simple words: The tally marks IIII represent five, and another IIII represents four. So, adding five and four gives us a total count of nine.

🎯 Exam Tip: Practice counting tally marks quickly by recognizing the bundles of five and then adding the remaining single marks.

 

Question 8. The plural form of 'datum' is ______
(a) datum
(b) datums
(c) data
(d) dates
Answer: (c) data
In simple words: 'Datum' means a single piece of information, and 'data' is the plural form, meaning many pieces of information. It's similar to how 'medium' becomes 'media' or 'bacterium' becomes 'bacteria'.

🎯 Exam Tip: Be aware of Latin-derived words like 'datum' which have irregular plural forms in English; 'data' is always treated as a plural noun in academic contexts.