1Thirty students of class 6 got these marks in a mathematics test of full marks 20. Use tally marks and make a frequency table: 2, 14, 9, 6, 13, 7, 8, 11, 12, 9, 5, 4, 15, 19, 20, 17, 16, 13, 20, 19, 15, 9, 15, 12, 17, 13, 18, 19, 16, 15
2The heights in centimetres of 32 students of class 10 are given below. Show them in a frequency table using tally marks: 123, 122, 121, 120, 124, 120, 122, 121, 120, 123, 120, 122, 124, 123, 121, 124, 120, 124, 122, 121, 123, 122, 123, 123, 122, 121, 120, 124, 120, 121, 123, 122
3The daily wages in rupees of the workers of a shoe factory are given below. Show them in a frequency table using tally marks: 170, 200, 150, 180, 220, 170, 190, 160, 220, 200, 150, 180, 160, 220, 210, 180, 210, 200, 180, 160, 180, 170, 200, 150, 180, 210, 220, 190, 180, 170, 160, 180, 150, 200, 220, 190, 180, 170, 180, 160
4The way class 6 students travel to school was collected, and the counts are bus 9, cycle 7, taxi 7, motorcycle 5 and walking 12. (a) Which group has the most students? (b) Which group has the fewest? (c) How many walk to school? (d) Which groups have equal numbers, and why? (e) How many students are there in that class?
5Show this data in a simple bar diagram: absent students on Sunday 5, Monday 10, Tuesday 25, Wednesday 10, Thursday 5 and Friday 5.
6In the first terminal examination Saurab scored 65 in Nepali, 90 in mathematics, 75 in English, 80 in science and technology and 55 in social studies. Show this in a bar diagram.
7A bar diagram of a school shows the number of students from class 6 to class 12 like this: class 6 has 80, class 7 has 85, class 8 has 100, class 9 has 90, class 10 has 70, class 11 has 75 and class 12 has 90. (a) Which class has the most students? (b) Which class has the fewest? (c) How many students are in class 8 and in class 11? (d) How many students are there from class 6 to class 12 altogether?
8An animal farm has 15 cows, 10 buffaloes, 35 sheep, 40 goats and 25 pigs. Show the numbers of these animals in a bar diagram.
9Thirty nine students of class 6 were asked how many members their family has, and these numbers came: 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 4, 5, 6, 7, 4, 5, 6, 3, 5. Make a frequency table with tally marks and also draw a simple bar diagram of the same data.
10A bar diagram shows a town's population in lakh over six years: 35 in 2070, 40 in 2071, 50 in 2072, 65 in 2073, 90 in 2074 and 100 in 2075. (a) In which year was the population largest? (b) What was the population in 2072? (c) In which year was the rise in population smallest, and by how much?
11A bar diagram of a family's yearly spending in thousands of rupees shows food 50, clothes 15, health 15, education 20, house rent 25 and others 15. (a) Which heading takes the most money? (b) How much goes on education? (c) Which headings take equal amounts, and how much? (d) What is the total yearly spending? (e) What percentage of the total is spent on food?
12What does the total of the frequency column tell you, and what should you do if it does not match?
13Why is there a rule that all the bars of a bar diagram must have the same width?
14Twenty students of a class named their favourite fruit, and the counts were mango 8, banana 5, apple 4 and orange 3. Describe how you would show this in a bar diagram.
15What is the difference between raw data and a frequency table? Explain with an example.