{"id":192,"date":"2024-03-03T09:05:27","date_gmt":"2024-03-03T03:35:27","guid":{"rendered":"https:\/\/wordpress-505192-1602719.cloudwaysapps.com\/?p=192"},"modified":"2024-03-04T17:35:49","modified_gmt":"2024-03-04T12:05:49","slug":"samacheer-kalvi-10th-maths-chapter-8-ex-8-5","status":"publish","type":"post","link":"https:\/\/samacheerkalviguru.com\/samacheer-kalvi-10th-maths-chapter-8-ex-8-5\/","title":{"rendered":"Samacheer Kalvi 10th Maths Solutions Chapter 8 Statistics and Probability Ex 8.5"},"content":{"rendered":"

You can Download Samacheer Kalvi 10th Maths Book Solutions<\/a> Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations.<\/p>\n

Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 8 Statistics and Probability Ex 8.5<\/h2>\n

Multiple Choice Questions
\nQuestion 1.
\nWhich of the following is not a measure of dispersion?
\n(1) Range
\n(2) Standard deviation
\n(3) Arithmetic mean
\n(4) Variance
\nSolution:
\n(3) Arithmetic mean<\/p>\n

\"Samacheer<\/p>\n

Question 2.
\nThe range of the data 8, 8, 8, 8, 8. . . 8 is _____
\n(1) 0
\n(2) 1
\n(3) 8
\n(4) 3
\nAnswer:
\n(1) 0
\nHint:
\nRange = L – S = 8 – 8 = 0<\/p>\n

Question 3.
\nThe sum of all deviations of the data from its mean is
\n(1) Always positive
\n(2) always negative
\n(3) zero
\n(4) non-zero integer
\nSolution:
\n(3) zero<\/p>\n

Question 4.
\nThe mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is ______
\n(1) 40000
\n(2) 160900
\n(3) 160000
\n(4) 30000
\nAnswer:
\n(2) 160900
\nHint:
\n\"Samacheer<\/p>\n

\"Samacheer<\/p>\n

Question 5.
\nVariance of the first 20 natural numbers is
\n(1) 32.25
\n(2) 44.25
\n(3) 33.25
\n(4) 30
\nSolution:
\n(3) 33.25<\/p>\n

Question 6.
\nThe standard deviation of a data is 3. If each value is multiplied by 5 then the new variance is ______
\n(1) 3
\n(2) 15
\n(3) 5
\n(4) 225
\nAnswer:
\n(4) 225
\nHint:
\nStandard deviation = 3
\nEach value is multiplied by 5
\nNew standard deviation = 3 \u00d7 5 = 15
\nNew variance = 152 = 225<\/p>\n

Question 7.
\nIf the standard deviation of x, y, z is p then the standard deviation of 3x + 5, 3y + 5, 3z + 5 is
\n(1) 3p + 5
\n(2) 3p
\n(3) p + 5
\n(4) 9p + 15
\nSolution:
\n(2) 3p<\/p>\n

\"Samacheer<\/p>\n

Question 8.
\nIf the mean and coefficient of variation of a data are 4 and 87.5% then the standard deviation is _____
\n(1) 3.5
\n(2) 3
\n(3) 4.5
\n(4) 2.5
\nAnswer:
\n(1) 3.5
\nHint:
\n\"Samacheer<\/p>\n

Question 9.
\nWhich of the following is incorrect?
\n(1) P (A) > 1
\n(2) 0 \u2264 P(A) \u2264 1
\n(3) P(\u03d5) = 0 (4)
\n(4) P (A) + P(\\(\\overline{\\mathbf{A}}\\)) = 1
\nSolution:
\n(1) P(A) > 1<\/p>\n

Question 10.
\nThe probability a red marble selected at random from a jar containing p red, q blue and r green marbles is
\n\"Samacheer
\nSolution:
\n(2) \\(\\frac{p}{p+q+r}\\)<\/p>\n

\"Samacheer<\/p>\n

Question 11.
\nA page is selected at random from a book. The probability that the digit at units place of the page number chosen is less than 7 is
\n\"Samacheer
\nSolution:
\n(2) \\(\\frac{7}{10}\\)<\/p>\n

Question 12.
\nThe probability of getting a job for a person is \\(\\frac{x}{3}\\). If the probability of not getting the job is \\(\\frac{2}{3}\\) then the value of x is ____
\n(1) 2
\n(2) 1
\n(3) 3
\n(4) 1.5
\nAnswer:
\n(2) 1
\nHint:
\n\"Samacheer<\/p>\n

Question 13.
\nKamalam went to play a lucky draw contest. 135 tickets of the lucky draw were sold. If the probability of Kamalam winning is \\(\\frac{1}{9}\\), then the number of tickets bought by Kamalam is
\n(1) 5
\n(2) 10
\n(3) 15
\n(4) 20
\nSolution:
\n(3) 15
\nHint:
\n\\(=\\frac{1}{9} \\times 135=15\\)<\/p>\n

\"Samacheer<\/p>\n

Question 14.
\nIf a letter is chosen at random from the English alphabets {a, b, ……, z} then the probability that the letter chosen precedes x _______
\n(1) \\(\\frac{12}{13}\\)
\n(2) \\(\\frac{1}{13}\\)
\n(3) \\(\\frac{23}{26}\\)
\n(4) \\(\\frac{3}{26}\\)
\nAnswer:
\n(3) \\(\\frac{23}{26}\\)
\nHint:
\n\"Samacheer<\/p>\n

Question 15.
\nA purse contains 10 notes of \u20b9 2000, 15 notes of \u20b9 500, and 25 notes of \u20b9 200. One note is drawn at random. What is the probability that the note is either a \u20b9 500 note or \u20b9 200 note?
\n(1) \\(\\frac{1}{5}\\)
\n(2) \\(\\frac{3}{10}\\)
\n(3) \\(\\frac{2}{3}\\)
\n(4) \\(\\frac{4}{5}\\)
\nSolution:
\n(4) \\(\\frac{4}{5}\\)<\/p>\n","protected":false},"excerpt":{"rendered":"

You can Download Samacheer Kalvi 10th Maths Book Solutions Guide Pdf, Tamilnadu State Board help you to revise the complete Syllabus and score more marks in your examinations. Tamilnadu Samacheer Kalvi 10th Maths Solutions Chapter 8 Statistics and Probability Ex 8.5 Multiple Choice Questions Question 1. Which of the following is not a measure of …<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":"","footnotes":""},"categories":[2],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/192"}],"collection":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/comments?post=192"}],"version-history":[{"count":1,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/192\/revisions"}],"predecessor-version":[{"id":60698,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/posts\/192\/revisions\/60698"}],"wp:attachment":[{"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/media?parent=192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/categories?post=192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/samacheerkalviguru.com\/wp-json\/wp\/v2\/tags?post=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}