Skewness (p-2) - Maharashtra Board STD 11 Commerce / Arts Maths (commerce) Questions

Q 1Solve the following Question.(1 Marks)1 Mark

For a distribution, $Q_1=25, Q_2=35$ and $Q_3=50$. Find Bowley's coefficient of skewness $S k_b$.

Q 2Solve the following Question.(1 Marks)1 Mark

For a distribution, mean $=60$, median $=75$ and variance $=900$. Find Pearsonian coefficient of skewness Sk .

Q 3Solve the following Question.(1 Marks)1 Mark

For u distribution, mean $=100$, mode $=80$ and S.D. $=20$. Find Pearsonian coefficient of skewness $Sk _{ p }$. For u distribution, mean $=100$, mode $=80$ and S.D. $=20$. Find Pearsonian coefficient of skewness Skp.

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Q 4Solve the following Question.(1 Marks)1 Mark

For a distribution, mean $=100$, mode $=127$ and S.D. $=60$. Find the Pearson coefficient of skewness Sk ${ }_p$.

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Q 5Solve the Following Question.(2 Marks)2 Marks

For a distribution, Bowley’s coefficient of skewness is 0.6. The sum of upper and lower quartiles is 100 and median is 38. Find the upper and lower quartiles.

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Q 6Solve the Following Question.(2 Marks)2 Marks

For a distribution $Q_3-Q_2=40, Q_2-Q_1=60$. Find Bowlev's coefficient of skewness $S k_b$.

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Q 7Solve the Following Question.(2 Marks)2 Marks

For a frequency distribution $Q_3 – Q_2 = 90$ and $Q_2 – Q_1 = 120$. Find $S_{kb}.$

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Q 8Solve the Following Question.(2 Marks)2 Marks

Find $Sk _{ p }$ for the following set of observations.
$17,17,21,14,15,20,19,16,13,17,18$

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Q 9Solve the Following Question.(2 Marks)2 Marks

The mean and variance of a distribution are 60 and 100 respectively. Find the mode and the median of the distribution if $S k_p=-0.3$.

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Q 10Solve the Following Question.(3 Marks)3 Marks

For a frequency distribution, the mean is 200, the coefficient of variation is 8% and Karl Pearsonian’s coefficient of skewness is 0.3. Find the mode and median of the distribution.

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Q 11Solve the Following Question.(3 Marks)3 Marks

For a data set with an upper quartile equal to 55 and median equal to 42, if the distribution is symmetric, find the value of the lower quartile.

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Q 12Solve the Following Question.(3 Marks)3 Marks

For a data set, sum of upper and lower quartiles is 100, difference between upper and lower quartiles is 40 and the median is 30. Find the coefficient of skewness.

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Q 13Solve the Following Question.(4 Marks)4 Marks

Find $Sk _{ p }$ for the following set of observations:
$18,27,10,25,31,13,28$

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Q 14Solve the Following Question.(4 Marks)4 Marks

Find Skb for the following set of observations:
18, 27, 10, 25, 31, 13, 28

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Q 15Solve the Following Question.(5 Marks)5 Marks

Calculate Bowley’s coefficient of skewness Skb from the following data.

Marks above	0	10	20	30	40	50	60	70	80
No. of student	120	115	108	98	85	60	18	5	0

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Q 16Solve the Following Question.(5 Marks)5 Marks

Calculate Karl Pearsonian’s coefficient of skewness Skp from the follow ing data:

Marks above	0	10	20	30	40	50	60	70	80
No of students	120	115	108	98	85	60	18	5	0

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Q 17Solve the Following Question.(5 Marks)5 Marks

Calculate $Sk _{ b }$ for the following set of observations of the yield of wheat in kg from 13 plots:
$4.6,3.5,4.8,5.1,4.7,5.5,4.7,3.6,3.5,4.2,3.5,3.6,5.2$

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Q 18Solve the Following Question.(5 Marks)5 Marks

Obtain coefficient of skewness by formula and comment on the nature of the distribution.

Height in inches	No. of Females
Less than 60	10
60-64	20
64-68	40
68-72	10
72-76	2

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Skewness (p-2) Maths (commerce) - Skewness (p-2)

Skewness (p-2) question types

Skewness (p-2) questions

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