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PUC Science कक्षा ११ - Karnataka Board PUC Question Bank Solutions for Mathematics

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Mathematics
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Find the mean deviation from the mean for the data:

Classes 95-105 105-115 115-125 125-135 135-145 145-155
Frequencies 9 13 16 26 30 12

 

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation from the mean for the data:

Classes 0-10 10-20 20-30 30-40 40-50 50-60
Frequencies 6 8 14 16 4 2
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

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Compute mean deviation from mean of the following distribution:

Mark 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No. of students 8 10 15 25 20 18 9 5
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

The age distribution of 100 life-insurance policy holders is as follows:

Age (on nearest birth day) 17-19.5 20-25.5 26-35.5 36-40.5 41-50.5 51-55.5 56-60.5 61-70.5
No. of persons 5 16 12 26 14 12 6 5

Calculate the mean deviation from the median age

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Find the mean deviation from the mean and from median of the following distribution:

Marks 0-10 10-20 20-30 30-40 40-50
No. of students 5 8 15 16 6
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

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

Age: 16-20 21-25 26-30 31-35 36-40 41-45 46-50 51-55
Number of persons 5 6 12 14 26 12 16 9
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Calculate the mean deviation about the mean for the following frequency distribution:
 

Class interval: 0–4 4–8 8–12 12–16 16–20
Frequency 4 6 8 5 2
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Calculate mean deviation from the median of the following data: 

Class interval: 0–6 6–12 12–18 18–24 24–30
Frequency 4 5 3 6 2
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

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.

 
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

For a frequency distribution mean deviation from mean is computed by

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

The mean deviation from the median is

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

The mean deviation of the series aa + da + 2d, ..., a + 2n from its mean is

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

A batsman scores runs in 10 innings as 38, 70, 48, 34, 42, 55, 63, 46, 54 and 44. The mean deviation about mean is

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

The mean deviation of the numbers 3, 4, 5, 6, 7 from the mean is

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

The mean deviation for n observations \[x_1 , x_2 , . . . , x_n\]  from their mean \[\bar{X} \]  is given by

 
  
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

Let \[x_1 , x_2 , . . . , x_n\]  be n observations and  \[X\]  be their arithmetic mean. The standard deviation is given by

 
[13] Statistics
Chapter: [13] Statistics
Concept: undefined >> undefined

If second, third and sixth terms of an A.P. are consecutive terms of a G.P., write the common ratio of the G.P. 

[8] Sequence and Series
Chapter: [8] Sequence and Series
Concept: undefined >> undefined

Write the quadratic equation the arithmetic and geometric means of whose roots are Aand G respectively. 

[8] Sequence and Series
Chapter: [8] Sequence and Series
Concept: undefined >> undefined

If abc are in A.P. and xyz are in G.P., then the value of xb − c yc − a za − b is

[8] Sequence and Series
Chapter: [8] Sequence and Series
Concept: undefined >> undefined
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