{"id":26599,"date":"2023-04-01T12:53:52","date_gmt":"2023-04-01T07:23:52","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=26599"},"modified":"2023-04-01T17:18:06","modified_gmt":"2023-04-01T11:48:06","slug":"ncert-solutions-for-class-9-maths-chapter-14-ex-14-4","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-14-ex-14-4\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.4"},"content":{"rendered":"

These NCERT Solutions for Class 9 Maths<\/a> Chapter 14 Statistics Ex 14.4 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 14 Statistics Exercise 14.4<\/h2>\n

Question 1.
\nThe following number of goals were scored by a team in a series of 10 matches:
\n2, 3, 4, 5, 0, 3, 3, 4, 3
\nFind the mean median and mode of these scores.
\nSolution:
\nWe know that
\n\"NCERT
\nor, Mean = 2.8
\nTo obtain the median we arrange the goals in ascending order to get 0, 1, 2, 3, 3, 4, 4, 5
\nSince the number of observations is 10.
\nSo, there are two middle terms, i.e. the \\(\\left(\\frac{10^{\\mathrm{th}}}{2}\\right)\\) and \\(\\left(\\frac{10}{2}+1\\right)^{\\text {th }}\\) i.e. the 5th and 6th term.
\ni.e. The median = \\(\\frac{3+3}{2}\\) = 3
\nSo, the median goat was scored is 3.
\nIn the given observation, 3 occurs most frequently i.e. four times.
\nSo, the mode is 3.<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nIn a mathematics test given to 15 students, the following marks (out of 100) are recorded.
\n41, 39, 48, 52, 46, 62, 54, 40, 96, 52, 98, 40, 42, 52, 60
\nFind the mean, median and mode of the above marks.
\nSolution:
\nWe know that
\n\"NCERT
\nTo obtain the median we arrange the marks in ascending order to get.
\n39, 40, 40, 41, 42, 46, 48, 52, 52, 54, 54, 60, 62, 96, 98
\nSince the number of observation is 15.
\nSo their are one middle term i.e. \\(\\left(\\frac{15+1}{2}\\right)^{\\mathrm{th}}\\) i.e. 8th term.
\ni.e. the median = 52.
\nSo, the median marks get by students is 52.
\nIn the given observation, 52 occur most frequently i.e. 3 times. So the mode is 52.<\/p>\n

Question 3.
\nThe following observations have been arranged in ascending order. If the median of the data is 63, find the value of x.
\n29, 32, 48, 50, x, x + 2, 72, 78, 84, 95
\nSolution:
\nWe have given that the data arranged in ascending order i.e. 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95.
\nSince the number of observations is 10.
\nSo there are two middle terms, i.e. the \\(\\left(\\frac{10^{\\mathrm{th}}}{2}\\right)\\) and \\(\\left(\\frac{10}{2}+1\\right)^{\\text {th }}\\) term.
\ni.e. the 5th and 6th term.
\ni.e. the median = \\(\\frac{x+(x+2)}{2}\\)
\n\u21d2 63= \\(\\frac{2 x+2}{2}\\) (\u2235 median =63)
\n\u21d2 63 = x + 1
\n\u21d2 x = 62
\nTherefore, the value of x is 62.<\/p>\n

\"NCERT<\/p>\n

Question 4.
\nFind the mode of
\n14, 25, 14, 28, 18, 17, 18, 14, 23, 22, 14, 18
\nSolution:
\nwe arrange the data in the following form:
\n14, 14, 14, 14, 17, 18, 18, 18, 22, 23, 25, 28.
\nHere 14 occur most frequently i.e. four times.
\nSo, the mode is 14.<\/p>\n

Question 5.
\nFind the mean salary of 60 workers of a factory from the following table:
\n\"NCERT
\nSolution:
\nFirst, we make the frequency distribution table of given data.
\n\"NCERT<\/p>\n

\"NCERT<\/p>\n

Question 6.
\nGive one example of a situation in which
\n(i) the mean an appropriate measure of central tendency.
\n(ii) the mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.
\nSolution:
\nConsider a situation when a student Vikas received their test copies.
\nThe test had five questions, each carrying ten marks. His scores were as follows:
\n\"NCERT
\nVikas’s average score = \\(\\frac{42}{5}\\) = 8.4
\nTo arranged his scores in ascending order and found out the middle score as:
\n\"NCERT
\nIn this situation means is an appropriate measure of central tendency.
\n(ii) Consider another situation when a student Tanvi received their test copies. The test had again five questions, each carrying the marks. Her scores were as follows:
\n\"NCERT
\nTanvi’s average score = \\(\\frac{41}{5}\\) = 8.2
\nTo arranged her scores in ascending order and found out the middle score as:
\nTanvi’s Score 4 7 10 10 10
\nIn this situation meaning is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.4 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 14 Statistics Exercise 14.4 Question 1. The following number of goals were scored by a team in a series of 10 matches: 2, 3, 4, …<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.4<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.4 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-14-ex-14-4\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.4 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 9 Maths Chapter 14 Statistics Ex 14.4 Questions and Answers are prepared by our highly skilled subject experts. 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