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“Statistics” chapter of Class 11 Maths teaches analysis of frequency distributions with equal means but different variances, the measure of dispersion, the standard deviation of grouped/ungrouped data, mean deviation, etc.
Question 1:
Find the mean deviation about the mean
for the following data :
6, 7, 10, 12, 13, 4, 8, 12.
Answer:
Question 2:
Find the mean deviation from the mean
for the following data :
12, 3, 18, 17, 4, 9, 17, 19, 20, 15, 8, 17, 2, 3, 16, 11, 3, 1, 0, 5.
Answer:
Question 3:
Find the mean deviation from the median for the following data :
3, 9, 5, 3, 12, 10, 18, 4, 7, 19, 21.
Answer:
Question 4:
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Question 5:
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Question 6:
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Question 7:
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Question 8:
Find the variance of the following data :
6, 8, 10, 12, 14, 16, 18, 20, 22, 24.
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Question 9:
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Question 10:
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Question 11:
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Question 12:
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Question 13:
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Question 14:
Coefficient of variations of two distributions are 60 and 70 and their standard deviations are 21 and 16 respectively. What are their arithmetic means ?
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Question 15:
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Question 16:
The variance of 20 observations is 5. If each observation is multiplied by 2, find the new variance of the resulting observations.
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Question 17:
The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6, find the other two observations.
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Question 18:
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Question 19:
Find the mean deviation about the mean for the data in:
4, 7, 8, 9, 10, 12, 13, 17.
Answer:
Question 20:
Find the mean deviation about the mean for the data in:
38, 70, 48, 40, 42, 55, 63, 46, 54, 44.
Answer:
Question 21:
Find the mean deviation about the median for the data in:
13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17.
Answer:
Question 22:
Find the mean deviation about the median for the data in:
36, 72, 46, 42, 60, 45, 53, 46, 51, 49.
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Question 23:
Find the mean deviation about the mean for the data in:
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Question 24:
Find the mean deviation about the mean for the data in:
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Question 25:
Find the mean deviation about the median for the data in:
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Question 26:
Find the mean deviation about the median for the data in:
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Question 27:
Find the mean deviation about mean for data in:
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Question 28:
Find the mean deviation about mean for data in:
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Question 29:
Find the mean deviation about median for the following data :
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Question 30:
Calculate the mean deviation about median for the age distribution of 100 persons given below :
Answer:
Converting the given data into continuous frequency distribution by subtracting 0·5 from the lower and adding 0·5 to the upper limit of each class-interval, we have :
Question 31:
Find the mean and variance for the following data in:
6, 7, 10, 12, 13, 4, 8, 12.
Answer:
Question 32:
Find the mean and variance for the following data in:
First n natural numbers.
Answer:
Question 33:
Find the mean and variance for the following data in:
First 10 multiples of 3.
Answer:
Question 34:
Find the mean and variance for the following data in:
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Question 35:
Find the mean and variance for the following data in:
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Question 36:
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Question 37:
Find the mean and variance for the following distribution in:
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Question 38:
Find the mean and variance for the following distribution in:
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Question 39:
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Question 40:
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Converting the given data into continuous frequency distribution by subtracting 0·5 from the lower and adding 0·5 to the upper but of each class-interval, we have :
Question 41:
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Question 42:
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Hence the shares Y is more stable than the shares X.
Question 43:
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Question 44:
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Question 45:
Which is more varying the length or weight ?
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