ICSE Board Practice

ICSE Grade IX - Frequency Distribution
Question 1
1.
Which of the following are true?
a)
The number of times a particular observation occurs is called its frequency.
b)
The true lower limit of the exclusive form class interval 30 - 40 is 30.
c)
The true lower limit of the inclusive form class interval 30 - 40 is 30.
d)
Each numerical figure in a data set is called an observation.
e)
The difference between the true upper limit and true lower limit is called the class mark.
  • {e,b}
  • {a,b,d}
  • {c,a,b}
  • {c,a}
  • {c,e,d}
Question 2
2.
    • Convert the inclusive form of the class interval 23 - 33 to exclusive form
  • 23
    -
    33
  • 22.5
    -
    34
  • 22.5
    -
    33.5
  • 22
    -
    33.5
  • 22
    -
    34
Question 3
3.
    • Identify the frequency distribution table for the given heights of 13 students in cm
      • 162
      • 163
      • 166
      • 170
      • 160
      • 167
      • 171
      • 172
      • 150
      • 167
      • 169
      • 152
      • 150
  • Height (in cm)
    150
    152
    160
    162
    163
    166
    167
    169
    170
    171
    172
    No. of Students
    2
    1
    1
    1
    1
    1
    2
    1
    1
    1
    1
  • Height (in cm)
    151
    154
    159
    160
    162
    168
    170
    172
    175
    180
    No. of Students
    1
    2
    1
    1
    1
    2
    1
    2
    1
    1
  • Height (in cm)
    150
    152
    156
    157
    169
    172
    174
    175
    178
    179
    180
    No. of Students
    2
    1
    1
    1
    2
    1
    1
    1
    1
    1
    1
  • Height (in cm)
    150
    152
    160
    162
    163
    166
    167
    169
    170
    171
    172
    No. of Students
    2
    1
    1
    1
    1
    1
    1
    1
    2
    1
    1
Question 4
4.
If the length of the class is 4, then the number of class intervals needed to represent data with range 30 is
  • 5
  • 9
  • 8
  • 7
  • 10
Question 5
5.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Heights of children in a class.
c)
Wages of workers in a factory.
d)
Weights of persons in a group.
e)
Number of members in a family.
  • {a,b}
  • {b,c,d}
  • {e,c}
  • {a,b,c}
  • {a,e,d}
Question 6
6.
    • In exclusive form representation, the observation
    • 21
    • falls in which class?
  • 21
    -
    31
  • 26
    -
    36
  • 31
    -
    41
  • 11
    -
    21
  • 16
    -
    21
Question 7
7.
    • The weights (in gm) of
    • 15
    • fruits are as follows.
    • Form the grouped frequency table
    • in inclusive form
    • by taking class size
    • 40
    • .
      • 251
      • 273
      • 244
      • 239
      • 374
      • 237
      • 248
      • 393
      • 250
      • 325
      • 201
      • 215
      • 395
      • 200
      • 247
  • Weight (in gm)
    200 - 239
    240 - 279
    280 - 319
    320 - 359
    360 - 399
    No. of Fruits
    5
    3
    0
    1
    3
  • Weight (in gm)
    200 - 239
    240 - 279
    280 - 319
    320 - 359
    360 - 399
    No. of Fruits
    5
    3
    0
    1
    6
  • Weight (in gm)
    200 - 239
    240 - 279
    280 - 319
    320 - 359
    360 - 399
    No. of Fruits
    5
    0
    6
    1
    3
  • Weight (in gm)
    200 - 239
    240 - 279
    280 - 319
    320 - 359
    360 - 399
    No. of Fruits
    5
    6
    0
    1
    3
  • Weight (in gm)
    200 - 239
    240 - 279
    280 - 319
    320 - 359
    360 - 399
    No. of Fruits
    5
    6
    4
    1
    3
Question 8
8.
    • The following outcomes were noted when a dice was thrown 20 times. Identify the frequency distribution table for the given data.
      • 5
      • 5
      • 1
      • 4
      • 4
      • 3
      • 6
      • 6
      • 4
      • 6
      • 4
      • 1
      • 2
      • 2
      • 2
      • 5
      • 6
      • 1
      • 3
      • 2
  • Outcome
    1
    3
    4
    5
    6
    No. of outcomes
    3
    7
    2
    5
    3
  • Outcome
    1
    2
    3
    4
    5
    6
    No. of outcomes
    3
    3
    2
    5
    3
    4
  • Outcome
    1
    2
    3
    4
    5
    6
    No. of outcomes
    3
    4
    2
    4
    3
    4
  • Outcome
    1
    2
    3
    4
    5
    6
    No. of outcomes
    3
    4
    2
    3
    3
    5
Question 9
9.
    • Convert the exclusive form of the class interval 44.5 - 47.5 to inclusive form
  • 45
    -
    47
  • 45.5
    -
    46.5
  • 44.5
    -
    47
  • 44.5
    -
    47.5
  • 45
    -
    47.5
Question 10
10.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      12 - 17
      17 - 22
      22 - 27
      27 - 32
      32 - 37
      37 - 42
      42 - 47
      47 - 52
      Frequency
      7
      9
      4
      13
      5
      29
      22
      19
  • 109
  • 105
  • 108
  • 110
  • 107