EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Statistics
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
Students of a certain locality use different modes of travel to school as given below. Find the mode of travel that has 217 students.
  • (i)
    Bicycle
  • (ii)
    School Van
  • (iii)
    Car
  • (iv)
    RTC Bus
  • (v)
    Scooter
Question 2
2.
Which of the following tables represent the given histogram with varying base widths
  • (i)
    Rainfall (in mm)
    12 - 42
    42 - 52
    52 - 82
    82 - 112
    112 - 132
    No. of days
    8
    9
    9
    6
    11
  • (ii)
    Rainfall (in mm)
    12 - 42
    42 - 52
    52 - 82
    82 - 112
    112 - 132
    No. of days
    3
    9
    7
    2
    6
  • (iii)
    Rainfall (in mm)
    12 - 42
    42 - 52
    52 - 82
    82 - 112
    112 - 132
    No. of days
    3
    9
    3
    2
    6
  • (iv)
    Rainfall (in mm)
    12 - 42
    42 - 52
    52 - 82
    82 - 112
    112 - 132
    No. of days
    8
    9
    14
    6
    11
  • (v)
    Rainfall (in mm)
    12 - 42
    42 - 52
    52 - 82
    82 - 112
    112 - 132
    No. of days
    8
    13
    9
    6
    11
Question 3
3.
    • Rainfall of 13 days (in mm) are given below. Find the median rainfall.
      • 13
      • 15
      • 15
      • 15
      • 8
      • 14
      • 14
      • 7
      • 6
      • 9
      • 8
      • 8
      • 8
  • (i)
    11
    mm
  • (ii)
    9
    mm
  • (iii)
    8
    mm
  • (iv)
    10
    mm
  • (v)
    7
    mm
Question 4
4.
    • The marks obtained by 14 students in a test are given below. Find their median marks.
      • 9
      • 8
      • 4
      • 10
      • 11
      • 13
      • 32
      • 41
      • 50
      • 48
      • 12
      • 49
      • 48
      • 36
  • (i)
    45

    2
  • (ii)
    89

    4
  • (iii)
    43

    2
  • (iv)
    47

    2
  • (v)
    23
Question 5
5.
Identify the class interval table for the given histogram.
  • (i)
    Class-Interval
    125 - 128
    129 - 132
    133 - 136
    137 - 140
    141 - 144
    Frequency
    135
    88
    76
    101
    69
  • (ii)
    Class-Interval
    125 - 128
    129 - 132
    133 - 136
    137 - 140
    141 - 144
    Frequency
    135
    72
    76
    101
    88
  • (iii)
    Class-Interval
    125 - 128
    129 - 132
    133 - 136
    137 - 140
    141 - 144
    Frequency
    135
    76
    69
    101
    88
  • (iv)
    Class-Interval
    125 - 128
    129 - 132
    133 - 136
    137 - 140
    141 - 144
    Frequency
    135
    69
    76
    101
    88
  • (v)
    Class-Interval
    125 - 128
    129 - 132
    133 - 136
    137 - 140
    141 - 144
    Frequency
    135
    69
    71
    101
    88
Question 6
6.
    • Given the mean of
    • 12
    • samples as
    • 10
      1

      2
    • ,
    • what is the mean if a sample value is
    • decreased
    • by
    • 10
    • ?
  • (i)
    47

    5
  • (ii)
    9
  • (iii)
    11
  • (iv)
    29

    3
  • (v)
    31

    3
Question 7
7.
    • The marks obtained by 12 students in a test are given below. Find their mode marks.
      • 47
      • 16
      • 14
      • 25
      • 21
      • 32
      • 14
      • 29
      • 15
      • 22
      • 38
      • 42
  • (i)
    13
  • (ii)
    14
  • (iii)
    15
  • (iv)
    12
  • (v)
    17
Question 8
8.
    • Daily wages of 12 labourers (in ₹) are given below. Find the mean wage.
      • 392
      • 454
      • 434
      • 323
      • 461
      • 460
      • 303
      • 396
      • 354
      • 412
      • 418
      • 445
  • (i)
    405.33
  • (ii)
    404.67
  • (iii)
    405.00
  • (iv)
    406.33
  • (v)
    404.33
Question 9
9.
    • Marks obtained by 141 students of a class in an examination are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    27
    14
    28
    23
    19
    30
  • (ii)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    27
    14
    23
    23
    19
    30
  • (iii)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    27
    14
    28
    20
    19
    30
  • (iv)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    27
    28
    14
    23
    19
    30
  • (v)
    Marks
    0 - 10
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    No. of students
    27
    30
    28
    23
    19
    14
Question 10
10.
    • Rainfall of 186 days (in mm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Rainfall (in mm)
    9 - 15
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    No. of days
    45
    20
    34
    22
    26
    12
    22
    5
  • (ii)
    Rainfall (in mm)
    9 - 15
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    No. of days
    45
    5
    32
    22
    26
    12
    22
    20
  • (iii)
    Rainfall (in mm)
    9 - 15
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    No. of days
    45
    5
    34
    22
    26
    12
    22
    20
  • (iv)
    Rainfall (in mm)
    9 - 15
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    No. of days
    45
    5
    22
    34
    26
    12
    22
    20
  • (v)
    Rainfall (in mm)
    9 - 15
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    No. of days
    45
    5
    34
    22
    24
    12
    22
    20
Question 11
11.
    • Construct a frequency table
    • in exclusive form
    • for the following
    • ages (in years) of
    • 20
    • students, taking class size
    • 4
    • .
      • 23
      • 21
      • 20
      • 20
      • 24
      • 15
      • 13
      • 25
      • 23
      • 19
      • 11
      • 11
      • 16
      • 10
      • 17
      • 12
      • 14
      • 24
      • 24
      • 14
  • (i)
    Age (in years)
    10 - 14
    14 - 18
    18 - 22
    22 - 26
    No. of Students
    5
    4
    5
    6
  • (ii)
    Age (in years)
    10 - 14
    14 - 18
    18 - 22
    22 - 26
    No. of Students
    6
    5
    4
    5
  • (iii)
    Age (in years)
    10 - 14
    14 - 18
    18 - 22
    22 - 26
    No. of Students
    5
    5
    1
    6
  • (iv)
    Age (in years)
    10 - 14
    14 - 18
    18 - 22
    22 - 26
    No. of Students
    5
    5
    4
    6
  • (v)
    Age (in years)
    10 - 14
    14 - 18
    18 - 22
    22 - 26
    No. of Students
    5
    8
    4
    6
Question 12
12.
    • If the sum of the following frequency distribution is
    • 30
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      5
      3
      6
      3
      7
      3
      8
      4
      9
      1
      10
      5
      11
      x
      12
      4
      13
      5
  • (i)
    2
  • (ii)
    4
  • (iii)
    3
  • (iv)
    0
  • (v)
    1
Question 13
13.
    • If the mean of the following frequency distribution is
    • 5
      20

      29
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      2
      4
      3
      4
      4
      4
      5
      2
      6
      4
      7
      x
      8
      2
      9
      3
      10
      2
      11
      1
  • (i)
    3
  • (ii)
    5
  • (iii)
    1
  • (iv)
    4
  • (v)
    2
Question 14
14.
    • Heights of 20 students are given below. Find the median.
    • Height (in cm)
      137
      140
      142
      146
      159
      161
      169
      No. of students
      2
      3
      3
      3
      1
      5
      3
  • (i)
    148
    cm
  • (ii)
    146
    cm
  • (iii)
    144
    cm
  • (iv)
    145
    cm
  • (v)
    147
    cm
Question 15
15.
    • Heights of 150 students (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    153 - 158
    159 - 164
    No. of students
    10
    13
    30
    34
    17
    35
    11
  • (ii)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    153 - 158
    159 - 164
    No. of students
    10
    30
    13
    38
    17
    35
    11
  • (iii)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    153 - 158
    159 - 164
    No. of students
    10
    30
    16
    34
    17
    35
    11
  • (iv)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    153 - 158
    159 - 164
    No. of students
    10
    11
    13
    34
    17
    35
    30
  • (v)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    153 - 158
    159 - 164
    No. of students
    10
    30
    13
    34
    17
    35
    11
Question 16
16.
Following bar graph gives the average temperature of a place during a week. Find the day that has 25 °C temperature.
  • (i)
    Wed.
  • (ii)
    Tues.
  • (iii)
    Thurs.
  • (iv)
    Sat.
  • (v)
    Mon.
Question 17
17.
The marks obtained by Kiran in his annual exam are shown below. Find the subject that has minimum score.
  • (i)
    German
  • (ii)
    Biology
  • (iii)
    Mathematics
  • (iv)
    Sanskrit
  • (v)
    Science
Question 18
18.
    • Ages of 216 students (in years) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of students
    28
    27
    24
    41
    44
    21
    31
  • (ii)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of students
    28
    27
    24
    39
    44
    21
    31
  • (iii)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of students
    28
    24
    27
    41
    44
    21
    31
  • (iv)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of students
    28
    27
    19
    41
    44
    21
    31
  • (v)
    Age (in years)
    16 - 24
    24 - 32
    32 - 40
    40 - 48
    48 - 56
    56 - 64
    64 - 72
    No. of students
    28
    31
    24
    41
    44
    21
    27
Question 19
19.
On a certain day, the temperature in a city was recorded as shown below. Find the time that has 29 °C temperature.
  • (i)
    1 p.m.
  • (ii)
    3 p.m.
  • (iii)
    5 a.m.
  • (iv)
    7 a.m.
  • (v)
    5 p.m.
Question 20
20.
There are certain creatures in a zoo. Find the type of creature that has minimum presense in the zoo.
  • (i)
    Domestic animals
  • (ii)
    Land animals
  • (iii)
    Water animals
  • (iv)
    Wild animals
  • (v)
    Beast animals
Question 21
21.
    • If the mean of
      • 7
      • 10
      • 5
    • x
      • 2
      • 8
      • 9
    • is
    • 6
      3

      7
    • ,
    • find the value of x.
  • (i)
    4
  • (ii)
    3
  • (iii)
    2
  • (iv)
    7
  • (v)
    5
Question 22
22.
    • Identify the frequency distribution table for the given heights of 11 students in cm
      • 167
      • 157
      • 161
      • 162
      • 170
      • 151
      • 160
      • 157
      • 174
      • 160
      • 167
  • (i)
    Height (in cm)
    154
    158
    161
    168
    175
    179
    180
    No. of Students
    1
    2
    1
    1
    3
    2
    1
  • (ii)
    Height (in cm)
    151
    157
    160
    161
    162
    167
    170
    No. of Students
    2
    2
    2
    1
    1
    2
    1
  • (iii)
    Height (in cm)
    151
    154
    158
    163
    166
    169
    172
    173
    174
    177
    No. of Students
    1
    1
    1
    1
    1
    1
    1
    1
    1
    2
  • (iv)
    Height (in cm)
    151
    157
    160
    161
    162
    167
    170
    174
    No. of Students
    1
    2
    2
    1
    1
    2
    1
    1
Question 23
23.
Given below is the column-graph showing heights of some mountain peaks. Find the mountain that has 6454 m height.
  • (i)
    Nanda Devi
  • (ii)
    Kilimanjaro
  • (iii)
    Nanga Parbat
  • (iv)
    Kanchenjunga
  • (v)
    Appalachian
Question 24
24.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      31 - 38
      22
      39 - 46
      x
      47 - 54
      11
      55 - 62
      4
      63 - 70
      3
  • (i)
    38.5
    -
    47
  • (ii)
    38
    -
    46.5
  • (iii)
    38.5
    -
    46.5
  • (iv)
    38
    -
    47
  • (v)
    39
    -
    46
Question 25
25.
    • Ages of 98 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    No. of students
    6
    27
    6
    6
    25
    28
  • (ii)
    Age (in years)
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    No. of students
    6
    28
    27
    6
    25
    6
  • (iii)
    Age (in years)
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    No. of students
    6
    6
    27
    6
    25
    28
  • (iv)
    Age (in years)
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    No. of students
    6
    6
    32
    6
    25
    28
  • (v)
    Age (in years)
    19 - 29
    30 - 40
    41 - 51
    52 - 62
    63 - 73
    74 - 84
    No. of students
    6
    6
    27
    8
    25
    28
    Assignment Key

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