Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ 2 Correct x Correct standard deviation= i Correct mean n 2160 -(10.2) 2 20 108 104.04 3.96 =1.98 2 Question 6: The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below: Subject Mathematics Physics Chemistry Mean 42 32 40.9 Standard deviation 12 15 20 Which of the three subjects shows the highest variability in marks and which shows the lowest? Solution 6: Standard deviation of Mathematics = 12 Standard deviation of Physics = 15 Standard deviation of Chemistry = 20 The coefficient of variation (C.V.) is given by Standard deviation 100 Mean 12 C.V.(in Mathematics)= 100 28.57 42 15 C.V.(in Physics)= 100 46.87 32 20 C.V.(in Chemistry)= 100 48.89 40.9 The subject with greater C.V. is more variable than others. Therefore, the highest variability in marks is in Chemistry and the lowest variability in marks is in Mathematics. Question 7: The mean and standard deviation of a group of 100 observations were found to be 20 and 3, respectively. Later on it was found that three observations were incorrect, which were recorded as 21, 21 and 18. Find the mean and standard deviation if the incorrect observations are omitted. Solution 7: Number of observations (n) = 100 Incorrect mean x 20 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

Class XI Chapter 15 – Statistics Maths ______________________________________________________________________________ Incorrect standard deviation 3 1 100 20 x 100 i i1 100 xi 20 100 2000 i1 Incorrect sum of observations = 2000 ⇒ Correct sum of observations = 2000 â€“ 21 â€“ 21 â€“ 18 = 2000 â€“ 60 = 1940 Correct sum 1940 Correct mean= 20 100 3 97 Standard deviation 1 100 2 x x x x 2 2 3 Incorrect xi 20 2 Incorrect xi 100 9 400 40900 n n 2 n 1 1 1 n n n i 2 i i1 i1 i1 n n 2 2 2 2 2 Correct xi Incorrect xi 21 21 18 i1 i1 40900 441 441 324 39694 Correct standard deviation= 39694 20 97 2 409.216 400 9.216 3.036 Correct n 2 x i Correct mean 2 2 Printed from Vedantu.com. Register now to book a Free LIVE Online trial session with a Top tutor.

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