miscellaneous-ch-15 (ncert class 11th maths) – eduhilfe

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Asked: September 4, 2020In: NCERT 11th Maths

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.

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Asked: September 4, 2020In: NCERT 11th Maths

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:

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which of the three subjects shows the highest variability in marks and which shows the lowest?

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Asked: September 4, 2020In: NCERT 11th Maths

5. The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in each of the following cases:

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(i) If wrong item is omitted. (ii) If it is replaced by 12.

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Asked: September 4, 2020In: NCERT 11th Maths

4. Given that $\overline{x}$ is the mean and $\sigma ^2$ is the variance of n observations $x_1, x_2, ...,x_n$ . Prove that the mean and variance of the observations $ax_1, ax_2, ax_3, ...., ax_n$ are $a\overline{x}$ and $a^2 \sigma ^2$ , respectively, (a ≠ 0).

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Asked: September 4, 2020In: NCERT 11th Maths

3. The mean and standard deviation of six observations are 8 and 4, respectively. If each observation is multiplied by 3, find the new mean and new standard deviation of the resulting observations.

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Asked: September 4, 2020In: NCERT 11th Maths

2. The mean and variance of 7 observations are 8 and 16, respectively. If five of the observations are 2, 4, 10, 12, 14. Find the remaining two observations.

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Asked: September 4, 2020In: NCERT 11th Maths

1. The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations.

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