class 11

Math

Algebra

Statistics

All the students of a class performed poorly in Mathematics. The teacher decided to give grace marks of 10 to each of the students. Which of the following statistical measures will not change even after the grace marks were given ?

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The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is Rs 18. Find the missing frequency f.

The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.

Let $x_{1},x_{2},......,x_{n}$ be n observations, and let $x$ be their arithematic mean and $σ_{2}$ be their variance. Statement 1: Variance of $2x_{1},2x_{2},......,2x_{n}is4σ_{2}$ . Statement 2: Arithmetic mean of $2x_{1},2x_{2},......,2x_{n}is4x$ . (1) Statement 1 is false, statement 2 is true (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement 2 is not a correct explanation for statement 1 (4) Statement 1 is true, statement 2 is false

What is the mean of - 7, - 5, 4, 8?

Complete the variance and standard deviation of the following observations of marks of 5 students of a tutorial group: Marks out of 25:8,12,13,15,22

The table below gives the percentage distribution of female teachers in the primary schools of rural areas of various states and union territories (U.T.) of India. Find the mean percentage of female teachers by all the three methods discussed in this section.

Coefficient of variation of two distributions are 60 and 70, and their standard deviations are 21 and 16, respectively. What are their arithmetic means.

The following table gives the literacy rate (in percentage) of 35 cities. Find the mean literacy rate.