Statistics

Study Planner Theory Videos Assignments Quiz Discussion
  • Statistics Assignments 1

    Name different methods of measuring dispersion

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  • Statistics Assignments 2

    Find the range of the following 12, 3, 18, 17, 4, 9, 17, 19, 20, 15, 8, 17, 2, 3, 16,
    11, 3, 1, 0, 5

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  • Statistics Assignments 3

    Find the mean and variance for the following 6, 7, 10, 12, 13, 4, 8, 12

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  • Statistics Assignments 4

    Find the mean deviation about the medias from the data
    13, 16, 17, 14, 13, 11, 16, 10, 18, 11, 12, 17

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  • Statistics Assignments 5

    Find the mean deviation about mean from the following data.
    4, 7, 8, 9, 10, 12, 13, 17

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  • Statistics Assignments 6

    Find the range 20, 28, 40, 12, 30, 15, 50

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  • Statistics Assignments 7

    What do you understand by measures of dispersion

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  • Statistics Assignments 8

    Find the mean deviation about the mean from the following data
    38, 70, 48, 40, 42, 55, 63, 46, 54, 44

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  • Statistics Assignments 9

    Find the mean and variance of first n natural numbers.

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  • Statistics Assignments 10

    Write limit ion of mean deviation.

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  • Statistics Assignments 11

    Find mean deviation about mean of the following observation 3, 9, 5, 3, 12, 10, 17,
    4, 7, 19, 21 marks respectively.

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  • Statistics Assignments 12

    Find the mean deviation from the mean 6,7,10,12,13,4,8,20

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  • Statistics Assignments 13

    200 candidates the mean and standard deviation was found to be 10 and 15
    respectively. After that if was found that the scale 43 was misread as 34. Find the
    correct mean and correct S.D

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  • Statistics Assignments 14

    Find the mean of the following data 3,6,11,12,18

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  • Statistics Assignments 15

    Find the rang of the following series 6,7,10,12,13,4,8,12

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  • Statistics Assignments 16

    Write the formula of mean deviation about the median

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  • Statistics Assignments 17

    The mean and the standard deviation of 100 observations were calculated as 40 and
    5.1 respectively by a student who mistook one observation as 50 instead of 40.
    What are the correct mean and standard deviation?

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  • Statistics Assignments 18

    Prove that the standard deviation is independent of any change of origin, but is
    dependent on the change of scale.

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  • Statistics Assignments 19

    The mean and standard deviation of 6 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.

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  • Statistics Assignments 20

    Find the mean variance and standard deviation for following data

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  • Statistics Assignments 21

    Find the mean, standard deviation and variance of the first n natural numbers.

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  • Statistics Assignments 22

    The mean of 2,7,4,6,8 and p is 7. Find the mean deviation about the median of these
    observations.

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  • Statistics Assignments 23

    Write the formula for variance

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  • Statistics Assignments 24

    Write the formula for mean deviation.

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  • Statistics Assignments 25

    Coefficient of variation of two distributions is 70 and 75, and their standard
    deviations are 28 and 27 respectively what are their arithmetic mean?

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  • Statistics Assignments 26

    In a test with a maximum sure 25, eleven students scored
    3,9,5,3,12,10,17,4,7,19,21 marks respectively. Calculate the range.

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  • Statistics Assignments 27

    The mean and standard deviation of a group of 100 observations were found to be 20 and 3, respectively. Later on it was found that three observations were incorrect, which were recorded as 21, 21 and 18. Find the mean and standard deviation if the incorrect observations are omitted.

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  • Statistics Assignments 28

    The mean and standard deviation of marks obtained by 50 students of a class in three subjects, Mathematics, Physics and Chemistry are given below:

    Subject

    Mathematics

    Physics

    Chemistry

    Mean

    42

    32

    40.9

    Standard deviation

    12

    15

    20

    Which of the three subjects shows the highest variability in marks and which shows the lowest?

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  • Statistics Assignments 29

    The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On rechecking, it was found that an observation 8 was incorrect. Calculate the correct mean and standard deviation in each of the following cases:

    (i) If wrong item is omitted.

    (ii) If it is replaced by 12.

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  • Statistics Assignments 30

    Given that is the mean and σ2 is the variance of n observations x1, x2 â€¦ xn. Prove that the mean and variance of the observations ax1, ax2, ax3 â€¦axn are  and a2 Ïƒ2, respectively (a ≠ 0).

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  • Statistics Assignments 31

    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.

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  • Statistics Assignments 32

    The mean and variance of 7 observations are 8 and 16, respectively. If five of the observations are 2, 4, 10, 12 and 14. Find the remaining two observations.

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  • Statistics Assignments 33

    The mean and variance of eight observations are 9 and 9.25, respectively. If six of the observations are 6, 7, 10, 12, 12 and 13, find the remaining two observations.

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  • Statistics Assignments 34

    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?

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  • Statistics Assignments 35

    The following is the record of goals scored by team A in a football session:

    No. of goals scored

    0

    1

    2

    3

    4

    No. of matches

    1

    9

    7

    5

    3

    For the team B, mean number of goals scored per match was 2 with a standard

    deviation 1.25 goals. Find which team may be considered more consistent?

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  • Statistics Assignments 36

    An analysis of monthly wages paid to workers in two firms A and B, belonging to the same industry, gives the following results:

     

    Firm A

    Firm B

    No. of wage earners

    586

    648

    Mean of monthly wages

    Rs 5253

    Rs 5253

    Variance of the distribution of wages

    100

    121

    (i) Which firm A or B pays larger amount as monthly wages?

    (ii) Which firm, A or B, shows greater variability in individual wages?

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  • Statistics Assignments 37

    From the prices of shares X and Y below, find out which is more stable in value:

    X

    35

    54

    52

    53

    56

    58

    52

    50

    51

    49

    Y

    108

    107

    105

    105

    106

    107

    104

    103

    104

    101

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  • Statistics Assignments 38

    From the data given below state which group is more variable, A or B?

    Marks

    10-20

    20-30

    30-40

    40-50

    50-60

    60-70

    70-80

    Group A

    9

    17

    32

    33

    40

    10

    9

    Group B

    10

    20

    30

    25

    43

    15

    7

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  • Statistics Assignments 39

     

    From the data given below state which group is more variable, A or B?

    Marks

    10-20

    20-30

    30-40

    40-50

    50-60

    60-70

    70-80

    Group A

    9

    17

    32

    33

    40

    10

    9

    Group B

    10

    20

    30

    25

    43

    15

    7

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  • Statistics Assignments 40

    The diameters of circles (in mm) drawn in a design are given below:

    Diameters

    No. of children

    33-36

    15

    37-40

    17

    41-44

    21

    45-48

    22

    49-52

    25

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  • Statistics Assignments 41

    Find the mean, variance and standard deviation using short-cut method

    Height

    in cms

    No. of children

    70-75

    3

    75-80

    4

    80-85

    7

    85-90

    7

    90-95

    15

    95-100

    9

    100-105

    6

    105-110

    6

    110-115

    3

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  • Statistics Assignments 42

     

    Find the mean and variance for the following frequency distribution.

    Classes

    0-10

    10-20

    20-30

    30-40

    40-50

    Frequencies

    5

    8

    15

    16

    6

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  • Statistics Assignments 43

    Find the mean and variance for the following frequency distribution.

    Classes

    0-30

    30-60

    60-90

    90-120

    120-150

    150-180

    180-210

    Frequencies

    2

    3

    5

    10

    3

    5

    2

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  • Statistics Assignments 44

     

    Find the mean and standard deviation using short-cut method.

    xi

    60

    61

    62

    63

    64

    65

    66

    67

    68

    fi

    2

    1

    12

    29

    25

    12

    10

    4

    5

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  • Statistics Assignments 45

    Find the mean and variance for the data

    xi

    92

    93

    97

    98

    102

    104

    109

    f i

    3

    2

    3

    2

    6

    3

    3

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  • Statistics Assignments 46

    Find the mean and variance for the data

    xi

    6

    10

    14

    18

    24

    28

    30

    f i

    2

    4

    7

    12

    8

    4

    3

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  • Statistics Assignments 47

    Find the mean and variance for the first 10 multiples of 3

     

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  • Statistics Assignments 48

    Find the mean and variance for the first n natural numbers

     

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  • Statistics Assignments 49


    Find the mean and variance for the data 6, 7, 10, 12, 13, 4, 8, 12

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  • Statistics Assignments 50

     

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

    Age

    Number

    16-20

    5

    21-25

    6

    26-30

    12

    31-35

    14

    36-40

    26

    41-45

    12

    46-50

    16

    51-55

    9

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  • Statistics Assignments 51

    Find the mean deviation about the mean for the data

    Height in cms

    Number of boys

    95-105

    9

    105-115

    13

    115-125

    26

    125-135

    30

    135-145

    12

    145-155

    10

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  • Statistics Assignments 52

     

    Find the mean deviation about the mean for the data.

    Income per day

    Number of persons

    0-100

    4

    100-200

    8

    200-300

    9

    300-400

    10

    400-500

    7

    500-600

    5

    600-700

    4

    700-800

    3

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  • Statistics Assignments 53

    Find the mean deviation about the median for the data

    xi

    15

    21

    27

    30

    35

    fi

    3

    5

    6

    7

    8

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  • Statistics Assignments 54

     

    Find the mean deviation about the median for the data.

    xi

    5

    7

    9

    10

    12

    15

    fi

    8

    6

    2

    2

    2

    6

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  • Statistics Assignments 55

     

    Find the mean deviation about the mean for the data

    xi

    10

    30

    50

    70

    90

    fi

    4

    24

    28

    16

    8

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  • Statistics Assignments 56

     

    Find the mean deviation about the mean for the data.

    xi

    5

    10

    15

    20

    25

    fi

    7

    4

    6

    3

    5

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  • Statistics Assignments 57

    Find the mean deviation about the median for the data

    36, 72, 46, 42, 60, 45, 53, 46, 51, 49

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  • Statistics Assignments 58

    Find the mean deviation about the median for the data.

    13, 17, 16, 14, 11, 13, 10, 16, 11, 18, 12, 17

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  • Statistics Assignments 59

    Find the mean deviation about the mean for the data

    38, 70, 48, 40, 42, 55, 63, 46, 54, 44

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  • Statistics Assignments 60

    Find the mean deviation about the mean for the data

    4, 7, 8, 9, 10, 12, 13, 17

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