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HSC Science (General) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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Find variance and S.D. for the following set of numbers:

65, 77, 81, 98, 100, 80, 129

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Compute variance and standard deviation for the following data:

X 2 4 6 8 10 12 14 16 18 20
F 8 10 10 7 6 4 3 4 2 6
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

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Compute the variance and S.D.

X 31 32 33 34 35 36 37
Frequency 15 12 10 8 9 10 6
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Following data gives age of 100 students in a college. Calculate variance and S.D.

Age (In years) 16 17 18 19 20 21
No. of Students 20 7 11 17 30 15
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Find mean, variance and S.D. of the following data:

Classes 10 – 20 20 – 30 30 – 40 40 – 50 50 – 60 60 – 70 70  –  80 80 – 90 90 – 100
Frequency 7 14 6 13 9 15 11 10 15
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Find the variance and S.D. of the following frequency distribution which gives the distribution of 200 plants according to their height:

Height (in cm) 14 – 18 19 – 23 24 – 28 29 – 33 34 – 38 39 – 43 44 – 48
No. of plants 5 18 44 70 36 22 5
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

The mean of 5 observations is 4.8 and the variance is 6.56. If three of the five observations are 1, 3 and 8, find the other two observations

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Select the correct option from the given alternatives :

The standard deviation of a distribution divided by the mean of the distribution and expressing in percentage is called:

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Select the correct option from the given alternatives :

If the S.D. of first n natural numbers is `sqrt(2)`, then the value of n must be ––––––.

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Select the correct option from the given alternatives :

The positive square root of the mean of the squares of the deviations of observations from their mean is called:

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Select the correct option from the given alternatives :

For any two numbers, SD is always

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Find variance and S.D. for the following set of numbers:

25, 21, 23, 29, 27, 22, 28, 23, 21, 25

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Find variance and S.D. for the following set of numbers: 125, 130, 150, 165, 190, 195, 210, 230, 245, 260

[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Following data gives no. of goals scored by a team in 100 matches. Compute the standard deviation

No. of Goals Scored 0 1 2 3 4 5
No. of matches 5 20 25 15 20 5
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Compute the variance and S.D. for the following data:

X 62 30 64 47 63 46 35 28 60
F 5 8 3 4 5 7 8 3 7
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

Answer the following :

Given below is the frequency distribution of marks obtained by 100 students. Compute arithmetic mean and S.D.

Marks 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 99
No. of students 4 12 25 28 26 5
[1.8] Measures of Dispersion
Chapter: [1.8] Measures of Dispersion
Concept: undefined >> undefined

From a pack of well-shuffled cards, two cards are drawn at random. Find the probability that both the cards are diamonds when first card drawn is kept aside

[1.9] Probability
Chapter: [1.9] Probability
Concept: undefined >> undefined

From a pack of well-shuffled cards, two cards are drawn at random. Find the probability that both the cards are diamonds when the first card drawn is replaced in the pack

[1.9] Probability
Chapter: [1.9] Probability
Concept: undefined >> undefined

Three fair coins are tossed. What is the probability of getting three heads given that at least two coins show heads?

[1.9] Probability
Chapter: [1.9] Probability
Concept: undefined >> undefined

Two cards are drawn one after the other from a pack of 52 cards without replacement. What is the probability that both the cards drawn are face cards?

[1.9] Probability
Chapter: [1.9] Probability
Concept: undefined >> undefined
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