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15. Statistics
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Q21 of 23 Page 15

The sum and sum of squares corresponding to length x (in cm) and weight y (in gm) of 50 plant products are given below:


Which is more varying, the length or weight?

For length x:

Mean,



=


Standard deviation σ = √variance= √0.0784=0.28



For Weight Y


Mean,


Variance



Standard deviation (



Since C.V.y C.V. x


⇒ weight is more varying.

More from this chapter

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19

While calculating the mean and variance of 10 readings, a student wrongly used the reading of 52 for the correct reading 25. He obtained the mean and variance as 45 and 16 respectively. Find the correct mean and the variance.

20

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.

22

Calculate the mean deviation about median age for the age distribution of 100 persons given below:


[Hint Convert the given data into continuous frequency distribution by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit of each class interval]

24

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.

Questions · 23
15. Statistics
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