EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    20
    5
    17
    14
    4
  • (ii)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    7
    10
    5
    11
    7
  • (iii)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    20
    3
    17
    15
    4
  • (iv)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    1
    12
    15
    3
    1
  • (v)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    6
    19
    11
    18
    8
Question 2
2.
    • Temperatures of 118 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Temperature (in degree)
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    91 - 98
    No. of days
    13
    6
    19
    19
    15
    17
    12
    12
  • (ii)
    Temperature (in degree)
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    91 - 98
    No. of days
    13
    6
    19
    19
    20
    17
    12
    12
  • (iii)
    Temperature (in degree)
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    91 - 98
    No. of days
    13
    12
    19
    19
    20
    17
    12
    6
  • (iv)
    Temperature (in degree)
    35 - 42
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    91 - 98
    No. of days
    13
    6
    17
    19
    20
    17
    12
    12
Question 3
3.
    • The Marks obtained by 57 students of a class in an examination is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Marks
    6 - 16
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    No. of students
    6
    9
    6
    6
    6
    8
    10
    6
  • (ii)
    Marks
    6 - 16
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    No. of students
    6
    9
    6
    6
    10
    8
    10
    6
  • (iii)
    Marks
    6 - 16
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    No. of students
    6
    9
    4
    6
    6
    8
    10
    6
  • (iv)
    Marks
    6 - 16
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    No. of students
    6
    6
    6
    6
    6
    8
    10
    9
Question 4
4.
    • Ages of 101 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Age (in years)
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    No. of students
    6
    17
    18
    14
    18
    16
    12
  • (ii)
    Age (in years)
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    No. of students
    6
    12
    18
    14
    18
    16
    17
  • (iii)
    Age (in years)
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    No. of students
    6
    18
    17
    14
    18
    16
    12
  • (iv)
    Age (in years)
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    No. of students
    6
    17
    18
    18
    18
    16
    12
  • (v)
    Age (in years)
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    45 - 52
    52 - 59
    No. of students
    6
    17
    15
    14
    18
    16
    12
Question 5
5.
    • Heights of 69 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    122 - 127
    127 - 132
    132 - 137
    137 - 142
    142 - 147
    No. of students
    20
    10
    8
    11
    18
  • (ii)
    Height (in cm)
    122 - 127
    127 - 132
    132 - 137
    137 - 142
    142 - 147
    No. of students
    20
    18
    10
    11
    10
  • (iii)
    Height (in cm)
    122 - 127
    127 - 132
    132 - 137
    137 - 142
    142 - 147
    No. of students
    20
    10
    10
    11
    18
  • (iv)
    Height (in cm)
    122 - 127
    127 - 132
    132 - 137
    137 - 142
    142 - 147
    No. of students
    20
    13
    10
    11
    18
Question 6
6.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      14 - 19
      19 - 24
      24 - 29
      29 - 34
      34 - 39
      39 - 44
      44 - 49
      49 - 54
      frequency
      7
      21
      9
      25
      14
      24
      6
      23
  • (i)
    class interval
    Cumulative Frequency
    14 - 19
    7
    19 - 24
    28
    24 - 29
    53
    29 - 34
    62
    34 - 39
    76
    39 - 44
    100
    44 - 49
    106
    49 - 54
    129
  • (ii)
    class interval
    Cumulative Frequency
    14 - 19
    7
    19 - 24
    28
    24 - 29
    37
    29 - 34
    62
    34 - 39
    79
    39 - 44
    103
    44 - 49
    109
    49 - 54
    132
  • (iii)
    class interval
    Cumulative Frequency
    14 - 19
    7
    19 - 24
    28
    24 - 29
    37
    29 - 34
    62
    34 - 39
    76
    39 - 44
    100
    44 - 49
    106
    49 - 54
    129
  • (iv)
    class interval
    Cumulative Frequency
    14 - 19
    7
    19 - 24
    28
    24 - 29
    40
    29 - 34
    65
    34 - 39
    79
    39 - 44
    103
    44 - 49
    109
    49 - 54
    132
  • (v)
    class interval
    Cumulative Frequency
    14 - 19
    7
    19 - 24
    30
    24 - 29
    39
    29 - 34
    64
    34 - 39
    78
    39 - 44
    102
    44 - 49
    108
    49 - 54
    129
Question 7
7.
    • Scores of 20 students are given below. Find the median.
    • Score
      71
      73
      74
      77
      80
      86
      90
      No. of students
      3
      3
      2
      2
      4
      5
      1
  • (i)
    79
  • (ii)
    157

    2
  • (iii)
    161

    2
  • (iv)
    159

    2
Question 8
8.
    • Heights of 26 plants are given below. Find the mode.
    • Height (in cm)
      51
      52
      55
      66
      72
      74
      79
      80
      95
      100
      No. of plants
      2
      1
      1
      4
      6
      2
      3
      3
      1
      3
  • (i)
    70
    cm
  • (ii)
    72
    cm
  • (iii)
    74
    cm
  • (iv)
    73
    cm
  • (v)
    71
    cm
Question 9
9.
    • A frequency distribution table is given below.
    • Find the
    • median .
    • Class-Interval
      17 - 27
      27 - 37
      37 - 47
      47 - 57
      57 - 67
      67 - 77
      77 - 87
      87 - 97
      Frequency
      7
      26
      11
      39
      44
      29
      48
      7
  • (i)
    2821

    44
  • (ii)
    2735

    44
  • (iii)
    2733

    44
  • (iv)
    1367

    22
  • (v)
    2777

    44
Question 10
10.
    • The following frequency distribution table gives
    • the monthly consumption of electricity of
    • 127
    • consumers in a locality.
    • Find the
    • mean units.
    • Monthly consumption (in units)
      44 - 54
      54 - 64
      64 - 74
      74 - 84
      84 - 94
      94 - 104
      104 - 114
      No. of consumers
      25
      14
      18
      19
      19
      18
      14
  • (i)
    9920

    127
    units
  • (ii)
    9793

    127
    units
  • (iii)
    10047

    127
    units
  • (iv)
    9795

    127
    units
  • (v)
    9794

    127
    units
Question 11
11.
    • The daily wages of
    • 90
    • workers in a factory are given below.
    • Find the
    • median wage.
    • Wage (in rupees)
      30 - 38
      39 - 47
      48 - 56
      57 - 65
      66 - 74
      No. of workers
      7
      19
      30
      13
      21
  • (i)
    ₹
    54.20
  • (ii)
    ₹
    55.20
  • (iii)
    ₹
    53.20
  • (iv)
    ₹
    53.40
  • (v)
    ₹
    53.60
Question 12
12.
    • Rainfall of 96 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    61 - 70
    71 - 80
    No. of days
    5
    7
    8
    15
    19
    18
    19
  • (ii)
    Rainfall (in mm)
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    61 - 70
    71 - 80
    No. of days
    5
    7
    10
    20
    19
    18
    19
  • (iii)
    Rainfall (in mm)
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    61 - 70
    71 - 80
    No. of days
    5
    8
    7
    20
    19
    18
    19
  • (iv)
    Rainfall (in mm)
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    61 - 70
    71 - 80
    No. of days
    5
    7
    8
    20
    19
    18
    19
  • (v)
    Rainfall (in mm)
    11 - 20
    21 - 30
    31 - 40
    41 - 50
    51 - 60
    61 - 70
    71 - 80
    No. of days
    5
    19
    8
    20
    19
    18
    7
Question 13
13.
    • Daily wages of 72 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    262 - 272
    273 - 283
    284 - 294
    295 - 305
    306 - 316
    317 - 327
    No. of labourers
    15
    11
    7
    8
    14
    17
  • (ii)
    Daily wage (in Rs)
    262 - 272
    273 - 283
    284 - 294
    295 - 305
    306 - 316
    317 - 327
    No. of labourers
    15
    17
    11
    8
    14
    7
  • (iii)
    Daily wage (in Rs)
    262 - 272
    273 - 283
    284 - 294
    295 - 305
    306 - 316
    317 - 327
    No. of labourers
    15
    7
    7
    8
    14
    17
  • (iv)
    Daily wage (in Rs)
    262 - 272
    273 - 283
    284 - 294
    295 - 305
    306 - 316
    317 - 327
    No. of labourers
    15
    7
    11
    3
    14
    17
  • (v)
    Daily wage (in Rs)
    262 - 272
    273 - 283
    284 - 294
    295 - 305
    306 - 316
    317 - 327
    No. of labourers
    15
    7
    11
    8
    14
    17
Question 14
14.
    • Ages of 52 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    No. of students
    5
    19
    7
    13
    8
  • (ii)
    Age (in years)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    No. of students
    5
    19
    11
    13
    8
  • (iii)
    Age (in years)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    No. of students
    5
    7
    19
    13
    8
  • (iv)
    Age (in years)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    No. of students
    5
    8
    7
    13
    19
  • (v)
    Age (in years)
    11 - 17
    17 - 23
    23 - 29
    29 - 35
    35 - 41
    No. of students
    5
    17
    7
    13
    8
Question 15
15.
The daily income of 35 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    less than 250
    No. of workers
    5
    10
    22
    31
    38
  • (ii)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    less than 250
    No. of workers
    5
    14
    19
    28
    35
  • (iii)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    less than 250
    No. of workers
    5
    12
    21
    30
    35
  • (iv)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    less than 250
    No. of workers
    5
    10
    19
    28
    35
  • (v)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    less than 250
    No. of workers
    5
    7
    16
    25
    32
Question 16
16.
    • Ages of 117 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    No. of students
    11
    20
    20
    13
    16
    5
    20
    12
  • (ii)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    No. of students
    11
    12
    13
    20
    16
    5
    20
    20
  • (iii)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    No. of students
    11
    20
    13
    20
    16
    5
    20
    12
  • (iv)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    No. of students
    11
    20
    9
    20
    16
    5
    20
    12
  • (v)
    Age (in years)
    16 - 26
    27 - 37
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    No. of students
    11
    20
    13
    20
    18
    5
    20
    12
Question 17
17.
    • Heights of 25 plants are given below. Find the mean.
    • Height (in cm)
      57
      60
      65
      69
      70
      76
      84
      91
      100
      No. of plants
      4
      1
      1
      2
      3
      2
      3
      4
      5
  • (i)
    394

    5
    cm
  • (ii)
    1971

    25
    cm
  • (iii)
    1994

    25
    cm
  • (iv)
    1969

    25
    cm
  • (v)
    2019

    25
    cm
Question 18
18.
    • Temperatures of 20 days are given below. Find the median.
    • Temperature (in degree C)
      25
      26
      27
      28
      31
      33
      35
      No. of days
      2
      3
      2
      4
      1
      3
      5
  • (i)
    28
    °C
  • (ii)
    27
    °C
  • (iii)
    29
    °C
  • (iv)
    26
    °C
  • (v)
    30
    °C
Question 19
19.
    • Rainfall of 101 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    7
    20
    16
    17
    15
    13
    16
  • (ii)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    7
    20
    13
    17
    15
    13
    16
  • (iii)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    7
    16
    13
    17
    15
    13
    20
  • (iv)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    7
    13
    20
    17
    15
    13
    16
  • (v)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    7
    20
    13
    19
    15
    13
    16
Question 20
20.
The following ogive shows the daily wages of workers in a factory. Estimate the median.
  • (i)
    ₹240.00
  • (ii)
    ₹232.50
  • (iii)
    ₹237.50
  • (iv)
    ₹235.00
  • (v)
    ₹230.00
Question 21
21.
    • Daily wages of 86 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    292 - 298
    298 - 304
    304 - 310
    310 - 316
    316 - 322
    322 - 328
    No. of labourers
    14
    15
    17
    10
    18
    12
  • (ii)
    Daily wage (in Rs)
    292 - 298
    298 - 304
    304 - 310
    310 - 316
    316 - 322
    322 - 328
    No. of labourers
    14
    12
    17
    10
    18
    15
  • (iii)
    Daily wage (in Rs)
    292 - 298
    298 - 304
    304 - 310
    310 - 316
    316 - 322
    322 - 328
    No. of labourers
    14
    12
    17
    8
    18
    15
  • (iv)
    Daily wage (in Rs)
    292 - 298
    298 - 304
    304 - 310
    310 - 316
    316 - 322
    322 - 328
    No. of labourers
    14
    17
    12
    10
    18
    15
  • (v)
    Daily wage (in Rs)
    292 - 298
    298 - 304
    304 - 310
    310 - 316
    316 - 322
    322 - 328
    No. of labourers
    14
    12
    19
    10
    18
    15
Question 22
22.
    • Heights of 63 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of plants
    13
    19
    15
    8
    8
  • (ii)
    Height (in cm)
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of plants
    13
    15
    8
    8
    19
  • (iii)
    Height (in cm)
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of plants
    13
    8
    12
    8
    19
  • (iv)
    Height (in cm)
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of plants
    13
    8
    15
    8
    19
  • (v)
    Height (in cm)
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of plants
    13
    11
    15
    8
    19
Question 23
23.
    • The production yield in kg per hectare of wheat of 44 farms of a village is given below. Calculate the mean yield correct to 2 decimal places.
    • Production yield (in kg/ha)
      less than 82
      less than 89
      less than 96
      less than 103
      less than 110
      less than 117
      Number of farms
      7
      17
      26
      31
      36
      44
  • (i)
    89.89
  • (ii)
    94.89
  • (iii)
    99.89
  • (iv)
    91.89
  • (v)
    97.89
Question 24
24.
    • Daily wages of 82 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    241 - 248
    248 - 255
    255 - 262
    262 - 269
    269 - 276
    No. of labourers
    20
    19
    21
    16
    9
  • (ii)
    Daily wage (in Rs)
    241 - 248
    248 - 255
    255 - 262
    262 - 269
    269 - 276
    No. of labourers
    20
    9
    18
    16
    19
  • (iii)
    Daily wage (in Rs)
    241 - 248
    248 - 255
    255 - 262
    262 - 269
    269 - 276
    No. of labourers
    20
    18
    19
    16
    9
  • (iv)
    Daily wage (in Rs)
    241 - 248
    248 - 255
    255 - 262
    262 - 269
    269 - 276
    No. of labourers
    20
    19
    18
    16
    9
  • (v)
    Daily wage (in Rs)
    241 - 248
    248 - 255
    255 - 262
    262 - 269
    269 - 276
    No. of labourers
    20
    16
    18
    16
    9
Question 25
25.
    • A frequency distribution table is given below.
    • Find the
    • mean .
    • Class-Interval
      10 - 18
      19 - 27
      28 - 36
      37 - 45
      46 - 54
      55 - 63
      Frequency
      1
      37
      4
      22
      1
      29
  • (i)
    1922

    47
  • (ii)
    1830

    47
  • (iii)
    1829

    47
  • (iv)
    1875

    47
  • (v)
    1828

    47
    Assignment Key

  •  1) (v)
  •  2) (ii)
  •  3) (i)
  •  4) (i)
  •  5) (iii)
  •  6) (iii)
  •  7) (ii)
  •  8) (ii)
  •  9) (iii)
  •  10) (ii)
  •  11) (iii)
  •  12) (iv)
  •  13) (v)
  •  14) (i)
  •  15) (iv)
  •  16) (iii)
  •  17) (iv)
  •  18) (i)
  •  19) (ii)
  •  20) (iv)
  •  21) (ii)
  •  22) (iv)
  •  23) (ii)
  •  24) (iv)
  •  25) (v)