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The following data give the distribution...

The following data give the distribution of heights of students :
`{:(underset(("in cm"))"Height",160,150,152,161,156,154,155),(underset("students")"Numbers of ",12,8,4,4,3,3,7):}`
The median of the distribution is

A

154

B

155

C

160

D

161

Text Solution

Verified by Experts

The correct Answer is:
B
Arranging the data in ascending order of magnitude, we obtain

Here, total number of items is `(41+1)/(2)` th=21st item.
From cumulative frequency table, we find that median i.e., 21st item is 155.
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CENGAGE-STATISTICS-Exercise (Single)
  1. The harmonic mean of 4,8,16 is

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  2. The AM of the nnumbers x(1),x(2)......x(n) is M. If x(1) is replaced b...

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  3. The following data give the distribution of heights of students : {:...

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  4. For a slightly asymmetric distribution, mean and medain are 5 and 6, r...

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  5. Runs scored by a batsman in 10 innings are : 38, 70,48,34,42,55,63,46,...

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  6. If mu us the mean of distribution {y(1),f(1)}, then sumf(1)(i(1)-mu) ...

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  7. The range of the following set of observations 2,3,5,9, 8, 7, 6, 5, 7,...

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  8. If each observation of a raw data whose variance is sigma is multiplie...

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  9. If a variable x takes values 0,1,2,..,n with frequencies proportional ...

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  10. Variance of the data 2,4,6,8,10 is

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  11. If the standard deviation of 0,1,2,3...9 is K, then the standard devia...

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  12. For a given distribution of marks, the mean is 35.16 and its standard ...

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  13. The mean and S.D of 1, 2, 3, 4, 5, 6 is

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  14. The standard deviation of 25 numbers is 40. If each of the numbers in ...

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  15. Consider any set of observations x(1),x(2),x(3),..,x(101). It is given...

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  16. For (2n+1) observations x(1), x(2),-x(2),..,x(n),-x(n) and 0, where al...

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  17. Let r be the range and S^(2)=(1)/(n-1) sum(i=1)^(n) (x(i)-overline(x))...

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  18. The standard deviation of variate xi is σ. Then standard deviation of ...

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  19. The standard deviation of the data 6,5,9,13,12,8,10 is

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  20. If the mean of 100 observations is 50 and their standard deviations is...

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