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Statistics - 3

Practice problems on frequency distribution tables, cumulative frequency calculations, class intervals, and class boundaries.

25 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230 - 240 5
240 - 250 7

What is cumulative frequency for first class?

  1. 0
  2. 2
  3. 4
  4. 6
Question 2 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students.

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Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - B
E
25
81 - 90
9
I

What is the value of H?

  1. 22
  2. 20
  3. 18
  4. 16
Question 3 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230 -240 5
240 - 250 7

What is the cumulative frequency for the second class interval?

  1. 2
  2. 3
  3. 5
  4. 6
Question 4 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students. </span
Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - 80
E
25
81 - 90
9
I

What is the value of D?

  1. 2
  2. 3
  3. 4
  4. 7
Question 5 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230-240 5
240- 250 7
What is the cumulative frequency for the fifth class interval?
  1. 16
  2. 18
  3. 19
  4. 20
Question 6 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students. </span
Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - 80
E
25
81 - 90
9
I

What is the value of E?

  1. 2
  2. 3
  3. 4
  4. 7
Question 7 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 -210 2
210 - 220 3
220 - 230 1
230 - 240 5
240 - 250 7

What is the cumulative frequency for height 230 to 240?

  1. 11
  2. 12
  3. 13
  4. 14
Question 8 Multiple Choice (Single Answer)

Directions: Choose the correct answer to fill in the blank.

Cumulative frequency is always ______ of a graph.

  1. Up the side
  2. Across
  3. Not up the side
  4. None of these
Question 9 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students.
Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - B
E
25
81 - 90
9
I

What is the value of F and C?

  1. 1, 2
  2. 2, 2
  3. 3, 5
  4. 4, 3
Question 10 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230 - 240 5
240- 250 7

What is the cumulative frequency for the third class interval?

  1. 6
  2. 7
  3. 8
  4. 9
Question 11 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230 - 240 5
240 - 250 7

What is the class width of the first class interval?

  1. 9
  2. 10
  3. 19
  4. 20
Question 12 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230 - 240 5
240 - 250 7

What is the modal class?

  1. 220- 230
  2. 230- 240
  3. 240- 250
  4. 200 - 210
Question 13 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students. </span
Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - B
E
25
81 - 90
9
I

What is the value of B?

  1. 80
  2. 70
  3. 81
  4. 90
Question 14 Multiple Choice (Single Answer)

Directions: The given cumulative frequency table shows the number of students in different grades
Number of students 1 2 3 4 5 6
Frequency 5 7 A 7 B 8
Cumulative frequency 5 12 21 28 31 39

What is value of A?

  1. 3
  2. 9
  3. 10
  4. 15
Question 15 Multiple Choice (Single Answer)

Which class boundary is considered for drawing a cumulative frequency on a graph?

  1. Upper class
  2. Lower class
  3. Middle value
  4. None of these
Question 16 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students.
Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - B
E
25
81 - 90
9
I

What is the value of A?

  1. 30
  2. 40
  3. 41
  4. 45
Question 17 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200 - 210 2
210 - 220 3
220 - 230 1
230 - 240 5
240 - 250 7

What is the upper class boundary of the last class interval?

  1. 200
  2. 240
  3. 250
  4. 260
Question 18 Multiple Choice (Single Answer)

Directions: The given cumulative frequency table shows the number of students in different grades
Number of students 1 2 3 4 5 6
Frequency 5 7 A 7 B 8
Cumulative frequency 5 12 21 28 31 39

What will be value of B?

  1. 5
  2. 4
  3. 3
  4. 2
Question 19 Multiple Choice (Single Answer)

Directions: Following is the table for the results of the heights of some plants which were grown in laboratory and recorded after 30 days (in mm)
Height (in mm) Frequency
200- 210 2
210 - 220 3
220 - 230 1
230 - 240 5
240 - 250 7

What is the lower class boundary for the third class interval?

  1. 200
  2. 220
  3. 240
  4. 260
Question 20 Multiple Choice (Single Answer)

Directions: The given table shows the marks obtained by different students. </span
Marks
Frequency
Cumulative frequency
11 - 20
2
F
21 - 30
3
5
31 - A
C
7
41 - 50
D
10
51 - 60
5
G
61 - 70
7
H
71 - B
E
25
81 - 90
9
I

What is the value of I?

  1. 34
  2. 30
  3. 24
  4. 20
Question 21 Multiple Choice (Single Answer)

Directions: The given table shows the ages of different children in a group
Ages (in years)
0 - 4
4 - 8
8 - 12
12 - 16
16 - 20
Frequency
7
2
3
7
5
Cumulative frequency
7
9
A
19
B

What is the value of A?

  1. 10
  2. 12
  3. 14
  4. 15
Question 22 Multiple Choice (Single Answer)

Directions: The given table shows the heights of different children in a school.
Height 150.5 16.5 170.5 180.5 190.5 200.5 210.5
Frequency 4 9 20 31 36 20 15
Cumulative frequency 4 13 A 64 100 120 B

What is the value of A?

  1. 31
  2. 33
  3. 35
  4. 45
Question 23 Multiple Choice (Single Answer)

Directions: The given table shows the ages of different children in a group
Ages (in years)
0 - 4
4 - 8
8 - 12
12 - 16
16 - 20
Frequency
7
2
3
7
5
Cumulative frequency
7
9
A
19
B
What is the value of B?
  1. 24
  2. 20
  3. 17
  4. 15
Question 24 Multiple Choice (Single Answer)

Directions: The given table shows the heights of different children in a school
Height 150.5 16.5 170.5 180.5 190.5 200.5 210.5
Frequency 4 9 20 31 36 20 15
Cumulative frequency 4 13 A 64 100 120 B

What will be value of B?

  1. 125
  2. 135
  3. 145
  4. 150
Question 25 Multiple Choice (Single Answer)

Directions: The given table shows the ages of different children in a group
Ages (in years)
0 - 4
4 - 8
8 - 12
12 - 16
16 - 20
Frequency
7
2
3
7
5
Cumulative frequency
7
9
A
19
B
What is lower class boundary of first class interval?
  1. 0
  2. 1
  3. 2
  4. 3
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