\nQuestion 1.
\nFill in the blanks:
\n(i) Bar graphs are ……….. representation of ungrouped data.
\n(ii) In a grouped frequency distribution, the difference between lower limit and upper limit of a class is called ………..
\n(iii) The mid point of the class interval is called ………..
\n(iv) Bar graphs of grouped data are called ………..
\n(v) The circle graphs are commonly called ………..
\n(vi) An experiment which has more than one possible outcomes and it is not possible to predict the outcome in advance is called ………..
\n(vii) The outcomes which ensures the occurrence of an event are called ………..
\n(viii) An event which never happens is called ………..
\nSolution:
\n(i) Bar graphs are visual representation of ungrouped data.
\n(ii) In a grouped frequency distribution, the difference between lower limit
\nand upper limit of a class is called class size or class width.
\n(iii) The mid point of the class interval is called class mark.
\n(iv) Bar graphs of grouped data are called histogram.
\n(v) The circle graphs are commonly called pie chart or pie diagram.
\n(vi) An experiment which has more than one possible outcomes
\nand it is not possible to predict the outcome in advance
\nis called random experiment.
\n(vii) The outcomes which ensures the occurrence of
\nan event are called favourable outcomes.
\n(viii) An event which never happens is called impossible event.<\/p>\n
Question 2.
\nState whether the following statements are true (T) or false (F):
\n(i) The data arranged in ascending or descending order of size is called data array.
\n(ii) The lower limit of class 10-20 is 20.
\n(iii) The class size of class 20-30 is 10.
\n(iv) The class mark of 25-35 is 30.
\n(v) There is no difference between bar graphs and histograms.
\n(vi) In histograms the breadth of a rectangle is meaningless.
\n(vii) In histograms, there is no gap between two adjacent rectangle.
\n(viii) In a pie chart, size of each sector is proportional to the value of item represented by it.
\n(ix) In a pie chaiangle of sector
\n= \\(\\frac{\\text { value of item }}{\\text { sum of values of all items }} \\times 180^{\\circ}\\)
\n(x) In tossing a coin getting head or tail are equally likely events.
\n(xi) Probability of an event E satisfies 0 \u2264 P(E) \u2264 1.
\n(xii) P(occurrence of an event) = P(non occurence of an event).
\n(xiii) Total number of outcomes when two dice are rolled togehter = 6 + 6.
\nSolution:
\n(i) The data arranged in ascending or descending
\norder of size is called data array. True
\n(ii) The lower limit of class 10-20 is 20. False
\nCorrect: Lower limit is 10.
\n(iii) The class size of class 20-30 is 10. True
\n(iv) The class mark of 25-35 is 30. True
\n(v) There is no difference between bar graphs and histograms. False
\nCorrect:
\nHistogram is for continued classed and in
\nbar graph there is gap between the two bars.
\n(vi) In histograms the breadth of a rectang’e is meaningless. False
\nCorrect:
\nThe rectangles are of equal width.
\n(vii) In histograms, there is no gap between two adjacent rectangle. True
\n(viii) In a pie chart, size of each sector is proportional
\nto the value of item represented by it. True
\n(ix) In a pie chart, angle of sector =
\n\\(\\frac{\\text { value of item }}{\\text { sum of values of all items }} \\times 180^{\\circ}\\) False
\nCorrect:
\nIt is \\(\\frac{\\text { value of item }}{\\text { sum of values of all items }}\\) \u00d7 360\u00b0
\n(x) In tossing a coin getting head or tail are equally likely events. True
\n(xi) Probability of an event E satisfies 0 \u2264 P(E) \u2264 1. True
\n(xii) P(occurrence of an event) = P(non-occurence of an event). False
\nCorrect:
\nProbability is of occurence of an event.
\n(xiii) Total number of outcomes when two dice are rolled together = 6 + 6. False
\nCorrect: It is 6 \u00d7 6 = 36<\/p>\n
Multiple Choice Questions<\/strong> Question 3. Question 4. Question 5. Question 6. Question 7. The pie graph shown in the adjoining figure representing the different subjects liked by the students of class VIII. Study the pie graph carefully and choose the correct answer from the given four options for questions 8 to 11. Question 9. Question 10. Question 11. Choose the correct answer from the given four options (12 to 17):<\/strong> Question 13. Question 14. Question 15. Question 16. Question 17. Value Based Questions<\/strong> Question 2. Question 3. Higher Order Thinking Skills (Hots)<\/strong> Question 2. ML Aggarwal Class 8 Solutions for ICSE Maths Chapter 19 Data Handling Objective Type Questions Mental Maths Question 1. Fill in the blanks: (i) Bar graphs are ……….. representation of ungrouped data. (ii) In a grouped frequency distribution, the difference between lower limit and upper limit of a class is called ……….. (iii) The mid …<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[3034],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts\/44029"}],"collection":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/comments?post=44029"}],"version-history":[{"count":1,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts\/44029\/revisions"}],"predecessor-version":[{"id":159122,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/posts\/44029\/revisions\/159122"}],"wp:attachment":[{"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/media?parent=44029"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/categories?post=44029"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/icsesolutions.com\/wp-json\/wp\/v2\/tags?post=44029"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\nStudy the following frequency distribution table:
\nThe table shows the pocket money (in ?) per month of 50 students. Choose the correct answer from the given four options for questions 3 to 7;<\/p>\n\n\n
\n Class interval (Pocket money in T)<\/strong><\/td>\n Frequency (No. of students)<\/strong><\/td>\n<\/tr>\n \n 10-20<\/td>\n 14<\/td>\n<\/tr>\n \n 20-30<\/td>\n 11<\/td>\n<\/tr>\n \n 30-40<\/td>\n 11<\/td>\n<\/tr>\n \n 40-50<\/td>\n 10<\/td>\n<\/tr>\n \n 50-60<\/td>\n 4<\/td>\n<\/tr>\n \n Total<\/td>\n 50<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n
\nSize of the class-intervals is
\n(a) 50
\n(b) 20
\n(c) 10
\n(d) 30
\nSolution:
\nSize of the class interval is 10. (c)<\/p>\n
\nThe class having the maximum frequency is
\n(a) 10-20
\n(b) 20-30
\n(c) 30-40
\n(d) 40-50
\nSolution:
\nThe class having the maximum frequency is 10-20. (a)<\/p>\n
\nThe upper limit of the class having minimum frequency is
\n(a) 30
\n(b) 40
\n(c) 50
\n(d) 60
\nSolution:
\nThe upper limit of the class having minimum frequency is 60. (d)<\/p>\n
\nWhich two are classes having the same frequency?
\n(a) 10-20 and 20-30
\n(b) 20-30 and 30-40
\n(c) 30-40 and 50-60
\n(d) 40-50 and 50-60
\nSolution:
\nThe two-class 20-30 and 30-40 have the same frequency. (b)<\/p>\n
\nThe frequency of class whose class mark is 25 is
\n(a) 14
\n(b) 11
\n(c) 10
\n(d) 4
\nSolution:
\n25 is the class mark of the class whose frequency is 11. (b)<\/p>\n
\n![\"ML](\"https:\/\/i1.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Q7.1.png?resize=228%2C226&ssl=1\")
\nQuestion 8.
\nWhich subject is liked by the maximum number of students
\n(a) Maths
\n(b) Science
\n(c) S. Science
\n(d) English
\nSolution:
\nMathematics is liked by the maximum number of students. (a)<\/p>\n
\nWhich subject is liked by the minimum number of students
\n(a) Maths
\n(b) Science
\n(c) S. Science
\n(d) English
\nSolution:
\nEnglish is liked by the minimum number of students. (d)<\/p>\n
\nIf there are 200 students in class VIII then the number of students who like S. Science
\n(a) 10
\n(b) 20
\n(c) 40
\n(d) 80
\nSolution:
\nIn class VIII, there are 200 students,
\nthen the number of students who like S. Science
\n= 200 \u00d7 \\(\\frac{20}{100}\\) = 40 (c)<\/p>\n
\nNumber of students who like Science
\n(a) 20
\n(b) 40
\n(c) 60
\n(d) 80
\nSolution:
\nNumber of students who like science = 200 \u00d7 \\(\\frac{30}{100}\\) = 60 (c)<\/p>\n
\nQuestion 12.
\nProbability of getting the sum as 4 when a pair of dice is rolled
\n![\"ML](\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Q12.1.png?resize=241%2C109&ssl=1\")
\nSolution:
\nA pair of dice is rolled, then total number of outcomes = 6 \u00d7 6 = 36
\nGetting sum as 4 (1, 3), (2, 2), (3, 1) = 3
\nProbability P(E) = \\(\\frac{3}{36}=\\frac{1}{12}\\) (b)<\/p>\n
\nProbability of getting exactly 2 heads when three coins are tossed together
\n![\"ML](\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Q13.1.png?resize=232%2C107&ssl=1\")
\nSolution:
\nThree coins are tossed,
\nthen total number of outcomes = 23<\/sup> = 2 \u00d7 2 \u00d7 2 = 8
\nGetting two heads (2, 2…), (2…, 2), (…2, 2) = 3
\nProbability = \\(\\frac{3}{8}\\) (c)<\/p>\n
\nProbability of selecting a consonant from the letters of the word ‘FATHER’
\n![\"ML](\"https:\/\/i1.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Q14.1.png?resize=234%2C109&ssl=1\")
\nSolution:
\nFrom the letter ‘FATHER’
\nTotal outcomes = 6
\n\u2234 Consonant = \\(\\frac{4}{6}=\\frac{2}{3}\\) (d)<\/p>\n
\nProbability of getting more than 2 heads when a pair of coins is tossed.
\n(a) 1
\n(b) \\(\\frac{1}{2}\\)
\n(c) \\(\\frac{1}{3}\\)
\n(d) 0
\nSolution:
\nA pair of coins tossed, then
\nTotal number of outcomes = 2 \u00d7 2 = 4
\nGetting more than two heads – None
\n\u2234 Probability = 0 (d)<\/p>\n
\nProbability of getting a red ball from a bag containing 20 red balls
\n(a) 0
\n(b) 1
\n(c) \\(\\frac{1}{20}\\)
\n(d) \\(\\frac{1}{2}\\)
\nSolution:
\nTotal red balls = 20
\nProbability a red ball = \\(\\frac{20}{20}\\) = 1 (b)<\/p>\n
\nProbability of getting a non-red ball from a bag containing 4 red, 5 blue and 3 black balls is
\n![\"ML](\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Q17.1.png?resize=238%2C113&ssl=1\")
\nSolution:
\nIn a bag, there are 4 red balls, 5 blue and 3 black balls.
\n\u2234 Total outcomes = 4 + 5 + 3 = 12
\nProbability of a non-red ball (5 blue + 3 black) = 8
\n= \\(\\frac{8}{12}=\\frac{2}{3}\\) (b)<\/p>\n
\nQuestion 1.
\nDraw a pie chart of the data given below:
\nThe time spent by a Class VIII student during a day.
\n![\"ML](\"https:\/\/i0.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Value-Q1.1.png?resize=547%2C82&ssl=1\")
\nShould a student of class VIII study for just 2 hours daily? Which time is considered the best time for self-study?
\nSolution:
\nTime spent during a day
\n![\"ML](\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Value-Q1.2.png?resize=500%2C459&ssl=1\")
\nPie chart of the above data is given here:
\n![\"ML](\"https:\/\/i2.wp.com\/icsesolutions.com\/wp-content\/uploads\/2019\/07\/ML-Aggarwal-Class-8-Solutions-for-ICSE-Maths-Chapter-19-Data-Handling-Objective-Type-Questions-Value-Q1.3.png?resize=250%2C214&ssl=1\")
\nMore time should be given for self-study and it should be
\nearly in the morning when the mind is fresh.<\/p>\n
\nFrom a bag containing 2 saffron, 3 white and 4 green balls a ball is drawn at random. Find the probability that ball drawn is
\n(i) Saffron
\n(ii) White
\n(iii) Green
\nWhich are three colours in our National Flag? What values did they indicate? What values are being promoted?
\nSolution:
\nA bag contains 2 saffron, 3 white and 4 green ball
\n\u2234 Total outcomes = 2 + 3 + 4 = 9
\nOne ball is drawn at random.
\n(i) Probability of a saffron ball P(E) = \\(\\frac{2}{9}\\)
\n(ii) Probability of a white ball P(E) = \\(\\frac{3}{9}=\\frac{1}{3}\\)
\n(iii) Probability of a green ball P(E) = \\(\\frac{4}{9}\\)
\nThese three colours are of our national flag.
\nSaffron colour is for braving and sacrifice,
\nwhite is for peace and green is for the prosperity of the nation.<\/p>\n
\nFour defective oranges are accidentally mixed with 16 good ones. One orange is drawn at random. Find the probability that the orange drawn is good one.
\nWhat will happen if 4 bad persons are mixed with 16 good ones?
\nSolution:
\nFour defective oranges are mixed with 16 good oranges.
\n\u2234 Total number of outcomes = 4 + 16 = 20
\nOne orange is drawn at random.
\n\u2234 Probability of an orange being a good one = \\(\\frac{16}{20}=\\frac{4}{5}\\)
\nSimilarly, when 4 bad boys are mixed with 16 good boys,
\nthey will spoil the good boys.
\nBad boys arc curse on society. So, try to avoid them.<\/p>\n
\nQuestion 1.
\nA bag contains 12 balls out of which x are black.
\n(i) If a ball drawn at random, what is the probability that it will be a black ball?
\n(ii) If 6 more black balls are put in the bag, the probability of drawing a black ball will be double than that of (i). Find the value of x.
\nSolution:
\nIn a bag there are 12 balls, x is black.
\n(i) A bal1 is drawn at random.
\nProbability of a ball being black P(E) = \\(\\frac{x}{12}\\)
\n(ii) By putting 6 more black balls, total number of black balls = x + 6
\nand total balls = 12 + 6 = 18
\nNow, probability of a black ball = \\(\\frac{x+6}{18}\\)
\nAccording to the condition,
\n\\(\\frac{x+6}{18}=2 \\times \\frac{x}{12}\\)
\n6x + 36 = 18 \u21d2 36 = 18x – 6x = 12x
\n\u2234 x = \\(\\frac{36}{12}\\) = 3<\/p>\n
\nAnkita and Nagma are friends. They were both born in 1998. What is the probability that they have
\n(i) same birthday?
\n(ii) different birthday?
\nSolution:
\nAnkita and Nagma both born in 1998.
\n(i) Probability of being same birth date = \\(\\frac{1}{365}\\).
\n(ii) Probability of being different birth dates = \\(\\frac{365-1}{365}=\\frac{364}{365}\\).<\/p>\nML Aggarwal Class 8 Solutions for ICSE Maths<\/a><\/h4>\n","protected":false},"excerpt":{"rendered":"