{"id":4637,"date":"2016-05-17T11:49:00","date_gmt":"2016-05-17T06:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-15-3\/"},"modified":"2016-05-17T13:39:16","modified_gmt":"2016-05-17T08:09:16","slug":"ncert-solutions-class-11-maths-exercise-15-3","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-15-3\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 15.3"},"content":{"rendered":"

Exercise 15.3<\/strong><\/p>\n

1. From the data given below state which group is more variable, A or B:<\/strong><\/p>\n

<\/p>\n

Ans. Group A<\/strong><\/p>\n

<\/p>\n

Mean <\/p>\n

= = 45 \u2013 0.4 = 44.6<\/p>\n

Standard deviation <\/p>\n

= <\/p>\n

= = = 15.09<\/p>\n

Group B<\/strong><\/p>\n

<\/p>\n

Mean <\/p>\n

= = 45 \u2013 0.4 = 44.6<\/p>\n

Standard deviation <\/p>\n

= <\/p>\n

= <\/p>\n

= = 15.61<\/p>\n

\n

2. From the prices of shares X and Y below, find out which is more stable in value:<\/strong><\/p>\n

<\/p>\n

Ans. <\/strong><\/p>\n

<\/p>\n

Mean = 51and Mean 105<\/p>\n

= = 5.92 and = = 2<\/p>\n

C.V. of = = 11.61andC.V. of = = 1.9<\/p>\n

C.V. of Y < C.V. of X<\/p>\n

Therefore, prices of share Y are more stable.<\/p>\n

\n

3. An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:<\/strong><\/p>\n

Firm A Firm B<\/strong><\/p>\n

No. of wage earners 586 648<\/strong><\/p>\n

Mean of monthly wages Rs. 5253Rs. 5253<\/strong><\/p>\n

Variance of the distribution of wages 100 121<\/strong><\/p>\n

(i) Which firm A or B larger amount as monthly wages?<\/strong><\/p>\n

(ii) Which firm A or B shows greater variability in individual wages?<\/strong><\/p>\n

Ans. (i)<\/strong> Firm A: Number of wages earners = 586<\/p>\n

Mean of monthly wages = Rs. 5253<\/p>\n

Total money wages = = Rs. 3078258<\/p>\n

Firm B: Number of wages earners = 648<\/p>\n

Mean of monthly wages = Rs. 5253<\/p>\n

Total money wages = = Rs. 3403944<\/p>\n

(ii)<\/strong> Since both the firms have same mean of monthly wages, so the firm with greater variance will have more variability in individual wages. Thus firm B will have more variability in individual wages.<\/p>\n

\n

4. The following is the record of goals scored by team A in a football session:<\/strong><\/p>\n

<\/p>\n

For the team B, mean number of goals scored per match was 2 with a standard deviation 1.25 goals. Find which team may be considered more consistent?<\/strong><\/p>\n

Ans. <\/strong>Team A<\/p>\n

<\/p>\n

Mean = = 2<\/p>\n

Standard deviation = <\/p>\n

= = = 1.09<\/p>\n

C.V. of Team A = = 54.5 and C.V. of Team B = = 62.5<\/p>\n

Here, C.V. of Team A < C.V. of team B<\/p>\n

Therefore, team A is more consistent.<\/p>\n

\n

5. The sum and sum of squares corresponding to lengths <\/strong> (in cm) and weight <\/strong> (in gm) of 5- plant products are given below:<\/strong><\/p>\n

<\/strong><\/p>\n

Which is more varying, the length or weight?<\/strong><\/p>\n

Ans. <\/strong>Given: <\/p>\n

= 4.24<\/p>\n

<\/p>\n

= 18.056 \u2013 17.978 = 0.078<\/p>\n

= 0.28<\/p>\n

Also = 5.22<\/p>\n

<\/p>\n

= 29.152 \u2013 27.248 = 1.904<\/p>\n

= 1.38<\/p>\n

C.V. of length = = 6.6 and C.V. of weight = <\/p>\n

Here, C.V of weight > C.V. of length<\/p>\n

Therefore, weights have more variability than lengths.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 15.3 1. From the data given below state which group is more variable, A or B: Ans. Group A Mean = = 45 \u2013 0.4 = 44.6 Standard deviation = = = = 15.09 Group B Mean = = 45 \u2013 0.4 = 44.6 Standard deviation = = = = 15.61 2. From the … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4637","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 15.3 | myCBSEguide<\/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:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-15-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 15.3 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 15.3 1. From the data given below state which group is more variable, A or B: Ans. Group A Mean = = 45 \u2013 0.4 = 44.6 Standard deviation = = = = 15.09 Group B Mean = = 45 \u2013 0.4 = 44.6 Standard deviation = = = = 15.61 2. From the ... 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