Class 11

Math

JEE Main Questions

Statistics

Calculate mean deviation about mean from the following data: $x_{i}:$ 3 9 17 23 27 $f_{i}:$ 8 10 12 9 5

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The blood groups of 30 students of Class VIII are recorded as follows: A, B, O, O, AB, O, A, O, B, A, O, B, A, O, O,A, AB, O, A, A, O, O, AB, B, A, O, B, A, B, O. Represent this data in the form of a frequency distribution table. Which is the most common, and which is the rarest, blood group among these students?

Find the mean and standard deviation using short-cut method.

If for distribution of 18 observations $∑(x_{i}−5)=3and∑(x_{i}−5)_{2}=43,$ find the mean and standard deviation.

An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following result No. of wage earners Firm A Firm B Mean of monthly wages Rs 5253 Rs 5253 Variance of the distribution 100 121 of wages (i) Which firm A or B pays larger amount as monthly wages?(ii) Which firm, A or B, show greater variability in individual wages?

If the median of the distribution given below is 28.5, find the values of x and y.

The following table gives the distribution of the life time of 400 neon lamps Find the median life of a lamp.

Find the mode of the following marks (out of 10) obtained by 20 students:4, 6, 5, 9, 3, 2, 7, 7, 6, 5, 4, 9, 10, 10, 3, 4, 7, 6, 9, 9

Find the mean deviation about the mean for the following data:$6,7,10,12,13,4,8,12$