Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ ∴ Standard deviation of the distribution of wages in firm A ((Ïƒ1) = 100 10 2 Variance of the distribution of wages in firm B 2 = 121 2 ∴ Standard deviation of the distribution of wages in firm 2 B 121 **11** The mean of monthly wages of both the firms is same i.e., 5253. Therefore, the firm with greater standard deviation will have more variability. Thus, firm B has greater variability in the individual wages. Question 4: The following is the record of goals scored by team A in a football session: No. of goals 0 1 2 3 4 scored No. of 1 9 7 5 3 matches 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? Solution 4: The mean and the standard deviation of goals scored by team A are calculated as follows. No. of goals No. of matches 2 2 fi x i x i fi x i scored 0 1 0 0 0 1 9 9 1 9 2 7 14 4 28 3 5 15 9 45 4 3 12 16 48 25 50 130 15 50 Mean= fixi 2 i1 25 Thus, the mean of both the teams is same. 1 2 N f 2 i x i f i x i N Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 1 25130 50 2 25 1 750 25 1 27.38 25 1.09 The standard deviation of team B is 1.25 goals. The average number of goals scored by both the teams is same i.e., 2. Therefore, the team with lower standard deviation will be more consistent. Thus, team A is more consistent than team B. Question 5: The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below: 50 50 2 50 50 2 i1 i i1 i i1 i i1 i x 212, x 902.8, y 261, y 1457.6 Which is more varying, the length or weight? Solution 5: 50 50 x 212, x 902.8 i i1 i1 Here, N = 50 50 2 i yi i1 212 Mean, x= 4.24 N 50 50 2 1 2 Variance 1 xi-x N i1 1 50 2 xi -4.24 50 i1 1 50 2 xi 8.48x i 17.97 50 i1 1 50 50 2 xi 8.48 xi 17.97 50 50 i1 i1 1 902.8 8.48 212 898.5 50 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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