{"id":9039,"date":"2020-10-14T12:51:17","date_gmt":"2020-10-14T12:51:17","guid":{"rendered":"https:\/\/samacheer-kalvi.com\/?p=9039"},"modified":"2021-12-06T16:02:42","modified_gmt":"2021-12-06T10:32:42","slug":"samacheer-kalvi-8th-maths-guide-chapter-6-ex-6-2","status":"publish","type":"post","link":"https:\/\/samacheer-kalvi.com\/samacheer-kalvi-8th-maths-guide-chapter-6-ex-6-2\/","title":{"rendered":"Samacheer Kalvi 8th Maths Guide Chapter 6 Statistics Ex 6.2"},"content":{"rendered":"

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide<\/a> Pdf Chapter 6 Statistics Ex 6.2 Text Book Back Questions and Answers, Notes.<\/p>\n

Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 6 Statistics Ex 6.2<\/h2>\n

Question 1.
\nWhich of the following data can be represented in a histogram?
\n(i) The number of mountain climbers in the age group 20 to 60 in TamilNadu.
\nAnswer:
\nYes<\/p>\n

(ii) Production of cycles in different years.
\nAnswer:
\nNo<\/p>\n

\"Samacheer<\/p>\n

(iii) The number of students in each class of a school.
\nAnswer:
\nNo<\/p>\n

(iv) The number votes polled from 7 am to 6 pm in an election.
\nAnswer:
\nYes<\/p>\n

(v) The wickets fallen from 1 over to 50th over in a one day cricket match.
\nAnswer:
\nYes<\/p>\n

\"Samacheer<\/p>\n

Question 2.
\nFill in the blanks:
\n(i) The total area of the histogram is _________ to the total frequency of the given data.
\nAnswer:
\nproportional<\/p>\n

(ii) A graph that displays data that changes continuously over the periods of time is _________ .
\nAnswer:
\nHistogram<\/p>\n

(iii) Histogram is a graphical representation of_________ data.
\nAnswer:
\ngrouped<\/p>\n

\"Samacheer<\/p>\n

Question 3.
\nIn a village, there are 570 people who have cell phones. An NGO survey their cell phone usage. Based on this survey a histogram is drawn. Answer the following questions.
\n\"Samacheer<\/p>\n

(i) How many people use the cell phone for less than 3 hours?
\nAnswer:
\n330 people (110 + 220)<\/p>\n

(ii) How many of them use the cell phone for more than 5 hours?
\nAnswer:
\n150 of them (100 + 50)<\/p>\n

(iii) Are people using cell phone for less than 1 hour?
\nAnswer:
\nNo<\/p>\n

\"Samacheer<\/p>\n

Question 4.
\nDraw a histogram for the following data.
\n\"Samacheer
\nAnswer:
\nThe given (tata IS continuous frequency distribution taking class intervals on X axis and No. of students on Y-axis, the histogram is given below.
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 5.
\nConstruct a histogram from the following distribution of total marks of 40 students in a class.
\n\"Samacheer
\nAnswer:
\nThe given distribution is continuous taking marks on X axis and No. of students on Y-axis the histogram is constructed.
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 6.
\nThe distribution of heights (in cm ) of loo people is given below. Construct a histogram and the frequency polygon imposed on it.
\n\"Samacheer
\nAnswer:
\nThe given distribution is discontinuous.
\nConverting into continuous distribution we have
\nLower boundary = lower limit – \\(\\frac { 1 }{ 2 }\\) (gap between adjacent class interval)
\n= 125 – \\(\\frac { 1 }{ 2 }\\) (1) = 124.5
\nUpper boundary = Upper limit + \\(\\frac { 1 }{ 2 }\\) (gap between the adjacent class interval)
\n= 135 + \\(\\frac { 1 }{ 2 }\\) = 135.5
\n\u2234 The new frequency table is
\n\"Samacheer
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 7.
\nIn a study of dental problem, the following data were obtained.
\n\"Samacheer
\nRepresent the above data by a frequency polygon.
\nAnswer:
\nFinding the midpoints of the class interval we get.<\/p>\n\n\n\n\n\n\n\n\n\n\n\n
Ages<\/td>\nMid point (x)<\/td>\nNo. of patients<\/td>\n<\/tr>\n
0 \u2013 10<\/td>\n5<\/td>\n5<\/td>\n<\/tr>\n
10 \u2013 20<\/td>\n15<\/td>\n13<\/td>\n<\/tr>\n
20 \u2013 30<\/td>\n25<\/td>\n25<\/td>\n<\/tr>\n
30 \u2013 40<\/td>\n35<\/td>\n14<\/td>\n<\/tr>\n
40 \u2013 50<\/td>\n45<\/td>\n30<\/td>\n<\/tr>\n
50 \u2013 60<\/td>\n55<\/td>\n35<\/td>\n<\/tr>\n
60 – 70<\/td>\n65<\/td>\n43<\/td>\n<\/tr>\n
70 – 80<\/td>\n75<\/td>\n50<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

The points tobe plotted are A(5,5), B(15, 13), C(25, 25), D(35, 14), E(45, 30), G(65, 43.), H(75, 50) to obtain the frequency polygon ZABCDEFGHI.
\nWhere I imagined class between 80 and 90.
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 8.
\nThe marks obtained by 50 students in Mathematics are given below (j) Make a frequency distribution table taking a class size of 10 marks (ii) Draw a histogram and a frequency polygon.
\n\"Samacheer
\nAnswer:
\nMaximum marks obtained = 89
\nMinimum marks obtained = 08
\nRange = Maximum marks – Minimim marks
\n= 89 – 08
\n= 81
\nTaking the class size = 10, then
\n\"Samacheer
\n= \\(\\frac{81}{10}\\) = 8.1 = 9
\n\"Samacheer
\nNow we have the continuous frequency table.
\n\"Samacheer
\nWe will draw the histogram taking class interval in x-axis and frequency in y-axis as follows.
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Objective Type Questions<\/p>\n

Question 9.
\nData is a collection of _________
\n(A) numbers
\n(B) words
\n(C) measurements
\n(D) all the three
\nAnswer:
\n(D) all the three<\/p>\n

Question 10.
\nThe number of times an observation occurs in the given data is called _________
\n(A) tally marks
\n(B) data
\n(C) frequency
\n(D) none of these
\nAnswer:
\n(C) frequency<\/p>\n

\"Samacheer<\/p>\n

Question 11.
\nThe difference between the largest value and the smallest value of the given data is ________
\n(A) range
\n(B) frequency
\n(C) variable
\n(D) none of these
\nAnswer:
\n(A) range<\/p>\n

Question 12.
\nThe data that can take values between a certain range is called_________
\n(A) ungrouped
\n(B) grouped
\n(C) frequency
\n(D) none of these
\nAnswer:
\n(B) grouped<\/p>\n

\"Samacheer<\/p>\n

Question 13.
\nInclusive series is a _________series.
\n(A) continuous
\n(B) discontinuous
\n(C) both
\n(D) none of these
\nAnswer:
\n(B) discontinuous<\/p>\n

Question 14.
\nIn a class interval the upper limit of one class is the lower limit of the other class. This is _________ series.
\n(A) Inclusive
\n(B) exclusive
\n(C) ungrouped
\n(D) none of these
\nAnswer:
\n(B) exclusive<\/p>\n

\"Samacheer<\/p>\n

Question 15.
\nThe graphical representation of ungrouped data is ________
\n(A) histogram
\n(B) frequency polygon
\n(C) pie chart
\n(D) all the three
\nAnswer:
\n(C) pie chart<\/p>\n

Question 16.
\nHistogram is a graph of a ________ frequency distribution.
\n(A) continuous
\n(B) discontinuous
\n(C) discrete
\n(D) none of these
\nAnswer:
\n(A) continuous<\/p>\n

\"Samacheer<\/p>\n

Question 17.
\nA _________ is a line graph for the graphical representation of the continuous frequency
\ndistribution.
\n(A) frequency polygon
\n(B) histogram
\n(C) pie chart
\n(D) bar graph
\nAnswer:
\n(A) frequency polygon<\/p>\n

Question 18.
\nThe graphical representation of grouped data is _________
\n(A) bar graph
\n(B) pictograph
\n(C) pie chart
\n(D) histogram
\nAnswer:
\n(D) histogram<\/p>\n","protected":false},"excerpt":{"rendered":"

Tamilnadu State Board New Syllabus Samacheer Kalvi 8th Maths Guide Pdf Chapter 6 Statistics Ex 6.2 Text Book Back Questions and Answers, Notes. Tamilnadu Samacheer Kalvi 8th Maths Solutions Chapter 6 Statistics Ex 6.2 Question 1. Which of the following data can be represented in a histogram? (i) The number of mountain climbers in the …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[10],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts\/9039"}],"collection":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/comments?post=9039"}],"version-history":[{"count":1,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts\/9039\/revisions"}],"predecessor-version":[{"id":48362,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/posts\/9039\/revisions\/48362"}],"wp:attachment":[{"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/media?parent=9039"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/categories?post=9039"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheer-kalvi.com\/wp-json\/wp\/v2\/tags?post=9039"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}