EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
    • Weights of 10 students are given below. Find the median.
    • Weight (in kg)
      42
      46
      49
      51
      55
      56
      59
      60
      No. of students
      2
      2
      1
      1
      1
      1
      1
      1
  • (i)
    48
    kg
  • (ii)
    52
    kg
  • (iii)
    49
    kg
  • (iv)
    50
    kg
  • (v)
    51
    kg
Question 2
2.
    • Temperatures of 68 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Temperature (in degree)
    27 - 35
    36 - 44
    45 - 53
    54 - 62
    63 - 71
    72 - 80
    81 - 89
    No. of days
    13
    5
    6
    5
    6
    18
    12
  • (ii)
    Temperature (in degree)
    27 - 35
    36 - 44
    45 - 53
    54 - 62
    63 - 71
    72 - 80
    81 - 89
    No. of days
    13
    12
    6
    8
    6
    18
    5
  • (iii)
    Temperature (in degree)
    27 - 35
    36 - 44
    45 - 53
    54 - 62
    63 - 71
    72 - 80
    81 - 89
    No. of days
    13
    5
    6
    8
    6
    18
    12
  • (iv)
    Temperature (in degree)
    27 - 35
    36 - 44
    45 - 53
    54 - 62
    63 - 71
    72 - 80
    81 - 89
    No. of days
    13
    6
    5
    8
    6
    18
    12
  • (v)
    Temperature (in degree)
    27 - 35
    36 - 44
    45 - 53
    54 - 62
    63 - 71
    72 - 80
    81 - 89
    No. of days
    13
    5
    11
    8
    6
    18
    12
Question 3
3.
    • Ages of 25 students are given below. Find the median.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      5
      4
      5
      3
      3
      5
  • (i)
    13
    years
  • (ii)
    11
    years
  • (iii)
    12
    years
  • (iv)
    10
    years
  • (v)
    14
    years
Question 4
4.
The heights of 32 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Height (in cm)
    less than 129
    less than 137
    less than 145
    less than 153
    less than 161
    No. of pupils
    6
    12
    14
    25
    30
  • (ii)
    Height (in cm)
    less than 129
    less than 137
    less than 145
    less than 153
    less than 161
    No. of pupils
    6
    12
    16
    27
    32
  • (iii)
    Height (in cm)
    less than 129
    less than 137
    less than 145
    less than 153
    less than 161
    No. of pupils
    6
    9
    13
    24
    29
  • (iv)
    Height (in cm)
    less than 129
    less than 137
    less than 145
    less than 153
    less than 161
    No. of pupils
    6
    11
    15
    26
    32
  • (v)
    Height (in cm)
    less than 129
    less than 137
    less than 145
    less than 153
    less than 161
    No. of pupils
    6
    10
    16
    27
    32
Question 5
5.
    • Weights of 30 students are given below. Find the mean.
    • Weight (in kg)
      40
      46
      47
      50
      55
      58
      59
      No. of students
      6
      4
      7
      1
      3
      3
      6
  • (i)
    748
    15
    kg
  • (ii)
    778
    15
    kg
  • (iii)
    50
    kg
  • (iv)
    763
    15
    kg
  • (v)
    749
    15
    kg
Question 6
6.
    • Rainfall of 30 days are given below. Find the mean.
    • Rainfall (in mm)
      5
      7
      9
      10
      11
      13
      15
      No. of days
      4
      6
      3
      4
      4
      8
      1
  • (i)
    176
    15
    mm
  • (ii)
    146
    15
    mm
  • (iii)
    148
    15
    mm
  • (iv)
    49
    5
    mm
  • (v)
    161
    15
    mm
Question 7
7.
    • Heights of 104 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    69 - 78
    78 - 87
    87 - 96
    96 - 105
    105 - 114
    114 - 123
    123 - 132
    132 - 141
    No. of plants
    17
    11
    16
    16
    19
    7
    13
    5
  • (ii)
    Height (in cm)
    69 - 78
    78 - 87
    87 - 96
    96 - 105
    105 - 114
    114 - 123
    123 - 132
    132 - 141
    No. of plants
    17
    11
    20
    16
    19
    7
    13
    5
  • (iii)
    Height (in cm)
    69 - 78
    78 - 87
    87 - 96
    96 - 105
    105 - 114
    114 - 123
    123 - 132
    132 - 141
    No. of plants
    17
    5
    16
    16
    19
    7
    13
    11
  • (iv)
    Height (in cm)
    69 - 78
    78 - 87
    87 - 96
    96 - 105
    105 - 114
    114 - 123
    123 - 132
    132 - 141
    No. of plants
    17
    11
    16
    16
    23
    7
    13
    5
Question 8
8.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      28 - 33
      15
      33 - 38
      27
      38 - 43
      32
      43 - 48
      47
      48 - 53
      53
      53 - 58
      61
      58 - 63
      75
  • (i)
    Class-Interval
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    Frequency
    15
    14
    5
    15
    6
    8
    12
  • (ii)
    Class-Interval
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    Frequency
    15
    5
    12
    15
    6
    8
    14
  • (iii)
    Class-Interval
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    Frequency
    15
    12
    5
    18
    6
    8
    14
  • (iv)
    Class-Interval
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    Frequency
    15
    12
    10
    15
    6
    8
    14
  • (v)
    Class-Interval
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    Frequency
    15
    12
    5
    15
    6
    8
    14
Question 9
9.
    • Heights of 89 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    125 - 131
    132 - 138
    139 - 145
    146 - 152
    153 - 159
    160 - 166
    167 - 173
    No. of students
    14
    18
    10
    5
    18
    10
    11
  • (ii)
    Height (in cm)
    125 - 131
    132 - 138
    139 - 145
    146 - 152
    153 - 159
    160 - 166
    167 - 173
    No. of students
    14
    13
    18
    5
    18
    10
    11
  • (iii)
    Height (in cm)
    125 - 131
    132 - 138
    139 - 145
    146 - 152
    153 - 159
    160 - 166
    167 - 173
    No. of students
    14
    18
    13
    1
    18
    10
    11
  • (iv)
    Height (in cm)
    125 - 131
    132 - 138
    139 - 145
    146 - 152
    153 - 159
    160 - 166
    167 - 173
    No. of students
    14
    11
    13
    5
    18
    10
    18
  • (v)
    Height (in cm)
    125 - 131
    132 - 138
    139 - 145
    146 - 152
    153 - 159
    160 - 166
    167 - 173
    No. of students
    14
    18
    13
    5
    18
    10
    11
Question 10
10.
Find the Mode when Median is 78 and Mean is 44.
  • (i)
    145
  • (ii)
    146
  • (iii)
    148
  • (iv)
    147
  • (v)
    144
Question 11
11.
    • Identify the class interval table for the given less than cumulative frequency table
    • Class-Interval
      Cumulative Frequency
      13 - 17
      10
      17 - 21
      18
      21 - 25
      24
      25 - 29
      40
      29 - 33
      46
      33 - 37
      51
      37 - 41
      59
      41 - 45
      68
  • (i)
    Class-Interval
    13 - 17
    17 - 21
    21 - 25
    25 - 29
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    Frequency
    10
    8
    6
    16
    6
    5
    8
    9
  • (ii)
    Class-Interval
    13 - 17
    17 - 21
    21 - 25
    25 - 29
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    Frequency
    10
    8
    10
    16
    6
    5
    8
    9
  • (iii)
    Class-Interval
    13 - 17
    17 - 21
    21 - 25
    25 - 29
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    Frequency
    10
    8
    6
    16
    4
    5
    8
    9
  • (iv)
    Class-Interval
    13 - 17
    17 - 21
    21 - 25
    25 - 29
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    Frequency
    10
    9
    6
    16
    6
    5
    8
    8
  • (v)
    Class-Interval
    13 - 17
    17 - 21
    21 - 25
    25 - 29
    29 - 33
    33 - 37
    37 - 41
    41 - 45
    Frequency
    10
    8
    16
    6
    6
    5
    8
    9
Question 12
12.
    • During the medical check-up of 53 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 67 kg
    • Class-Interval
      40 - 49
      49 - 58
      58 - 67
      67 - 76
      76 - 85
      Frequency
      12
      11
      9
      9
      12
  • (i)
    31
  • (ii)
    29
  • (iii)
    32
  • (iv)
    34
  • (v)
    33
Question 13
13.
    • Wages of 20 labourers are given below. Find the mean.
    • Wage (in rupees)
      312
      320
      389
      405
      441
      465
      No. of labourers
      3
      2
      2
      3
      4
      6
  • (i)
    ₹
    407.15
  • (ii)
    ₹
    408.15
  • (iii)
    ₹
    406.15
  • (iv)
    ₹
    406.20
  • (v)
    ₹
    406.25
Question 14
14.
    • Heights of 69 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    89 - 97
    98 - 106
    No. of plants
    12
    9
    7
    17
    16
    6
  • (ii)
    Height (in cm)
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    89 - 97
    98 - 106
    No. of plants
    12
    9
    9
    19
    16
    6
  • (iii)
    Height (in cm)
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    89 - 97
    98 - 106
    No. of plants
    12
    6
    7
    19
    16
    9
  • (iv)
    Height (in cm)
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    89 - 97
    98 - 106
    No. of plants
    12
    9
    7
    19
    16
    6
  • (v)
    Height (in cm)
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    89 - 97
    98 - 106
    No. of plants
    12
    7
    9
    19
    16
    6
Question 15
15.
    • If the sum of the following frequency distribution is
    • 13
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      10 - 19
      2
      20 - 29
      1
      30 - 39
      2
      40 - 49
      x
      50 - 59
      1
      60 - 69
      3
      70 - 79
      1
  • (i)
    4
  • (ii)
    3
  • (iii)
    5
  • (iv)
    1
  • (v)
    2
Question 16
16.
    • Heights of 26 plants are given below. Find the mode.
    • Height (in cm)
      55
      60
      63
      72
      77
      83
      93
      96
      No. of plants
      2
      2
      3
      8
      4
      3
      2
      2
  • (i)
    71
    cm
  • (ii)
    72
    cm
  • (iii)
    73
    cm
  • (iv)
    70
    cm
  • (v)
    74
    cm
Question 17
17.
    • Temperatures of 105 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Temperature (in degree)
    32 - 41
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    92 - 101
    102 - 111
    No. of days
    11
    6
    15
    17
    20
    10
    10
    13
  • (ii)
    Temperature (in degree)
    32 - 41
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    92 - 101
    102 - 111
    No. of days
    11
    6
    18
    17
    23
    10
    10
    13
  • (iii)
    Temperature (in degree)
    32 - 41
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    92 - 101
    102 - 111
    No. of days
    11
    13
    18
    17
    20
    10
    10
    6
  • (iv)
    Temperature (in degree)
    32 - 41
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    92 - 101
    102 - 111
    No. of days
    11
    6
    18
    17
    20
    10
    10
    13
  • (v)
    Temperature (in degree)
    32 - 41
    42 - 51
    52 - 61
    62 - 71
    72 - 81
    82 - 91
    92 - 101
    102 - 111
    No. of days
    11
    6
    17
    18
    20
    10
    10
    13
Question 18
18.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    Frequency
    8
    1
    15
    10
    6
  • (ii)
    Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    Frequency
    5
    1
    16
    20
    1
  • (iii)
    Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    Frequency
    11
    8
    4
    4
    7
  • (iv)
    Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    Frequency
    8
    2
    9
    13
    8
  • (v)
    Class-Interval
    10 - 17
    17 - 24
    24 - 31
    31 - 38
    38 - 45
    Frequency
    15
    4
    6
    11
    10
Question 19
19.
    • Rainfall of 53 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    No. of days
    6
    5
    15
    9
    14
  • (ii)
    Rainfall (in mm)
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    No. of days
    6
    15
    9
    9
    14
  • (iii)
    Rainfall (in mm)
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    No. of days
    6
    14
    15
    9
    9
  • (iv)
    Rainfall (in mm)
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    No. of days
    6
    9
    13
    9
    14
  • (v)
    Rainfall (in mm)
    10 - 15
    16 - 21
    22 - 27
    28 - 33
    34 - 39
    No. of days
    6
    9
    15
    9
    14
Question 20
20.
    • The daily wages of
    • 184
    • workers in a factory are given below.
    • Find the
    • mean wage.
    • Wage (in rupees)
      20 - 30
      30 - 40
      40 - 50
      50 - 60
      60 - 70
      70 - 80
      80 - 90
      90 - 100
      No. of workers
      15
      26
      26
      29
      5
      28
      30
      25
  • (i)
    ₹
    61.96
  • (ii)
    ₹
    62.04
  • (iii)
    ₹
    62.00
  • (iv)
    ₹
    62.96
  • (v)
    ₹
    63.96
Question 21
21.
    • The daily wage of 44 workers of a factory is given below. Calculate the mean wage correct to 2 decimal places.
    • Daily income (in Rs)
      less than 210
      less than 220
      less than 230
      less than 240
      less than 250
      less than 260
      No. of workers
      10
      15
      21
      27
      36
      44
  • (i)
    ₹230.23
  • (ii)
    ₹243.23
  • (iii)
    ₹254.23
  • (iv)
    ₹216.23
  • (v)
    ₹228.23
Question 22
22.
    • Heights of 72 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    94 - 99
    99 - 104
    No. of plants
    16
    9
    8
    10
    8
    14
    10
  • (ii)
    Height (in cm)
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    94 - 99
    99 - 104
    No. of plants
    16
    10
    8
    7
    8
    14
    9
  • (iii)
    Height (in cm)
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    94 - 99
    99 - 104
    No. of plants
    16
    9
    8
    7
    8
    14
    10
  • (iv)
    Height (in cm)
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    94 - 99
    99 - 104
    No. of plants
    16
    9
    4
    7
    8
    14
    10
  • (v)
    Height (in cm)
    69 - 74
    74 - 79
    79 - 84
    84 - 89
    89 - 94
    94 - 99
    99 - 104
    No. of plants
    16
    8
    9
    7
    8
    14
    10
Question 23
23.
    • Ages of 25 students are given below. Find the mean.
    • Age (in years)
      10
      11
      12
      13
      14
      15
      No. of students
      4
      4
      2
      5
      7
      3
  • (i)
    366
    25
    years
  • (ii)
    318
    25
    years
  • (iii)
    341
    25
    years
  • (iv)
    317
    25
    years
  • (v)
    316
    25
    years
Question 24
24.
The following ogive shows the distribution of the heights of a group of factory workers. Estimate the median.
  • (i)
    167.29 cm
  • (ii)
    168.54 cm
  • (iii)
    169.79 cm
  • (iv)
    166.04 cm
  • (v)
    171.04 cm
Question 25
25.
    • Heights of 25 plants are given below. Find the median.
    • Height (in cm)
      57
      69
      74
      81
      85
      94
      100
      No. of plants
      7
      3
      1
      4
      3
      4
      3
  • (i)
    79
    cm
  • (ii)
    82
    cm
  • (iii)
    83
    cm
  • (iv)
    81
    cm
  • (v)
    80
    cm
    Assignment Key
  •  1) (iv)
  •  2) (iii)
  •  3) (iii)
  •  4) (ii)
  •  5) (i)
  •  6) (ii)
  •  7) (i)
  •  8) (v)
  •  9) (v)
  •  10) (ii)
  •  11) (i)
  •  12) (iii)
  •  13) (iii)
  •  14) (iv)
  •  15) (ii)
  •  16) (ii)
  •  17) (iv)
  •  18) (iii)
  •  19) (v)
  •  20) (i)
  •  21) (i)
  •  22) (iii)
  •  23) (v)
  •  24) (ii)
  •  25) (iv)