The table below gives the flavours of ice cream liked by children (boys and girls) of a society. Flavours Vanilla Chocolate Strawberry Mango Butterscotch Boys 4 9 3 8 13 Girls 8 12 7 9 10 Study the table and answer the following questions:
- (a)Draw a double bar graph using appropriate scale to represent the above information.
- (b)Which flavour is liked the most by the boys?
- (c)How many girls are there in all?
- (d)How many children like chocolate flavour of ice cream? (e) Find the ratio of children who like strawberry flavour to vanilla flavour of ice cream. Application 1: Create a table like the one shown Object Estimate Measure (in cm) (in cm) Length of a pen Length of an eraser Length of your palm Length of your geometry box Length of your math notebook Draw a double bar graph for the above. How accurate are your estimations? 15-04-2018 Application 2: The Body Mass Index (BMI) is a statistical measurement which compares an individual’s weight and height. It is a very useful tool to estimate a healthy body weight based on how tall an individual is. Indeed, it is the most widely used tool to identify the weight problem. BMI is very easy to measure and evaluate. With the help of BMI, one can come to know whether one is underweight, normal weight, over weight or in the category of obesity. Its value is measured in kg/m2. BMI of any individual is calculated with the help of the following formula : Body Weight Body Mass Index (BMI) = Height × Height Here the weight of the individual is measured in kilograms and the height of that individual is taken in metres. The categories in BMI are given in the following table : Category BMI Under weight <18.5 Normal weight 18.5 – 24.9 Over weight 25.0 – 29.9 Obesity Class I 30.0 – 34.9 Obesity Class II 35.0 – 39.9 Obesity Class III ≥ 40 After having a glance at the table given above, one can come to know the category in which any individual falls. Now fill the table given below using the data for the children of your class : Sl. No. Name of Body Weight Height Value Cateogry Student (in kg) (in mtrs) (BMI) Also draw a bar graph for the data received. 15-04-2018 Game 3: Collect the data from students of your class about their favourite programmes on television and prepare a table as shown below: Sl.No. Programmes Number Number of Girls of Boys 1. Cartoons 2. Serials 3. Reality shows 4. Songs 5. Movies 6. News 7. Others (a) Represent the above information on a double bar graph using appropriate scale. (b) Study the graph and find out the favourite programme of the most of students. (c) Which programme is liked by most of the boys? (d) Name the programme for which difference between likings of the number of boys and girls is the maximum. (e) Calculate the percentage of boys who like to watch News. (f) Calculate the percentage of girls who like to watch Cartoons. Game 4: Throw a die 20 times and record the outcomes in the following table: No. on Die 1 2 3 4 5 6 No. of Times (Frequency) Calculate the probability of getting the following numbers using your recorded data: (i) 6 (ii) greater than 6 (iii) 3 or 4 15-04-2018 Write about your observation about the certainty of getting any particular number by throwing a die. Cross Word Puzzle 5 Solve the given crossword and then fill up the given blanks and then boxes. Clues are given below for across as well as downward filling. Also for across and down clues. Clue number is written at the corner of boxes. Answers of clues have to fill up their respective boxes. Clues Across Down 1. Arranging the collected 6. The most common data in tabular form is representative value of a called _______ of data. group of data is the _______. 2. Mean is defined as sum of 7. Tossing a coin gives all observations divided by outcomes. ________ number of 8. The observation that occurs observations. most often is called the _____. 3. Mean, median and mode 9. The difference between the are collectively known as highest and lowest measures of ________. observations gives the ______. 4. Throwing a die gives 10. gives the middle ________ possible observation of a given data. outcomes. 11. A _______ bar graph helps in 5. A ________ is the comparing two collections of representation of data data at a glance. using bars of uniform width and varying 12. The number of times each heights. observation occurs can be represented by ________. 15-04-2018 UNIT 3 DATA HANDLING 97 15-04-2018
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(a) Draw a double bar graph using appropriate scale to represent the above information.
(b) Which flavour is liked the most by the boys?
(c) How many girls are there in all?
(d) How many children like chocolate flavour of ice cream? (e) Find the ratio of children who like strawberry flavour to vanilla flavour of ice cream. Application 1: Create a table like the one shown Object Estimate Measure (in cm) (in cm) Length of a pen Length of an eraser Length of your palm Length of your geometry box Length of your math notebook Draw a double bar graph for the above. How accurate are your estimations? 15-04-2018 Application 2: The Body Mass Index (BMI) is a statistical measurement which compares an individual’s weight and height. It is a very useful tool to estimate a healthy body weight based on how tall an individual is. Indeed, it is the most widely used tool to identify the weight problem. BMI is very easy to measure and evaluate. With the help of BMI, one can come to know whether one is underweight, normal weight, over weight or in the category of obesity. Its value is measured in kg/m2. BMI of any individual is calculated with the help of the following formula : Body Weight Body Mass Index (BMI) = Height × Height Here the weight of the individual is measured in kilograms and the height of that individual is taken in metres. The categories in BMI are given in the following table : Category BMI Under weight <18.5 Normal weight 18.5 – 24.9 Over weight 25.0 – 29.9 Obesity Class I 30.0 – 34.9 Obesity Class II 35.0 – 39.9 Obesity Class III ≥ 40 After having a glance at the table given above, one can come to know the category in which any individual falls. Now fill the table given below using the data for the children of your class : Sl. No. Name of Body Weight Height Value Cateogry Student (in kg) (in mtrs) (BMI) Also draw a bar graph for the data received. 15-04-2018 Game 3: Collect the data from students of your class about their favourite programmes on television and prepare a table as shown below: Sl.No. Programmes Number Number of Girls of Boys 1. Cartoons 2. Serials 3. Reality shows 4. Songs 5. Movies 6. News 7. Others (a) Represent the above information on a double bar graph using appropriate scale. (b) Study the graph and find out the favourite programme of the most of students. (c) Which programme is liked by most of the boys? (d) Name the programme for which difference between likings of the number of boys and girls is the maximum. (e) Calculate the percentage of boys who like to watch News. (f) Calculate the percentage of girls who like to watch Cartoons. Game 4: Throw a die 20 times and record the outcomes in the following table: No. on Die 1 2 3 4 5 6 No. of Times (Frequency) Calculate the probability of getting the following numbers using your recorded data: (i) 6 (ii) greater than 6 (iii) 3 or 4 15-04-2018 Write about your observation about the certainty of getting any particular number by throwing a die. Cross Word Puzzle 5 Solve the given crossword and then fill up the given blanks and then boxes. Clues are given below for across as well as downward filling. Also for across and down clues. Clue number is written at the corner of boxes. Answers of clues have to fill up their respective boxes. Clues Across Down 1. Arranging the collected 6. The most common data in tabular form is representative value of a called _______ of data. group of data is the _______. 2. Mean is defined as sum of 7. Tossing a coin gives all observations divided by outcomes. ________ number of 8. The observation that occurs observations. most often is called the _____. 3. Mean, median and mode 9. The difference between the are collectively known as highest and lowest measures of ________. observations gives the ______. 4. Throwing a die gives 10. gives the middle ________ possible observation of a given data. outcomes. 11. A _______ bar graph helps in 5. A ________ is the comparing two collections of representation of data data at a glance. using bars of uniform width and varying 12. The number of times each heights. observation occurs can be represented by ________. 15-04-2018 UNIT 3 DATA HANDLING 97 15-04-2018