# Cumulative Frequency

## Trending Questions

**Q.**Find the cumulative frequency for the class interval '20-25'

- 15
- 14
- 25
- 17

**Q.**

Find the median for the following frequency distribution table:

Class-intervals |
0 - 5 |
5 -10 |
10 - 15 |
15 - 20 |
20 - 25 |
25 - 30 |

Frequency |
5 |
3 |
9 |
10 |
8 |
5 |

**Q.**

Find the median for the following frequency distribution table:

Class Intervals |
110 - 119 |
120 - 129 |
130 - 139 |
140 - 149 |
150 - 159 |
160 - 169 |

Frequency |
6 |
8 |
15 |
10 |
6 |
5 |

**Q.**In a shop, different sizes of shoes sold in a week are represented in an ungrouped frequency distribution table shown below.

Show size | Frequency (Shoes sold) |

3 | 2 |

4 | 2 |

5 | 3 |

6 | 6 |

7 | 6 |

8 | 6 |

9 | 5 |

10 | 2 |

11 | 2 |

12 | 1 |

How many shoes of size 10 or less than 10 are sold out in a week?

- 2
- 30
- 32
- 35

**Q.**Given below are the marks of students in a less than cumulative frequency distribution table. Write the frequencies of the respective classes. Also, write the greater than cumulative frequencies. How many students’ marks are given in the table?

**Q.**Find the cumulative frequency for the class interval '10-15'

- 7
- 14
- 13
- 12

**Q.**Find the cumulative frequency for the class interval '5-10'

- 5
- 7
- 2
- 14

**Q.**

The median class for the following data is

MarksBelow 10Below 20Below 30Below 40Below 50Cumulative Fequency510233140

10-20

20-30

30-40

40-50

**Q.**Weight (in Kg) of the students in a class is represented in a ungrouped frequency distribution table.

Weight (Kg) | Cumulative Frequency |

30 | 21 |

35 | 17 |

40 | 12 |

45 | 5 |

50 | 2 |

What is the frequency of the data value of 45 ?

- 5
- 3
- 7
- 2

**Q.**Weight of the students in a class is represented in an ungrouped frequency table.

Weight (Kg) | Frequency |

30 | 4 |

35 | 5 |

40 | 7 |

45 | 3 |

50 | 2 |

What is the less than type cumulative frequency of the data value of 45?

- 7
- 3
- 16
- 19

**Q.**

There are lottery tickets labelled numbers from 1 to 500. I want to find the number which is most common in the lottery tickets. What quantity do I need to use?

Median

Mean

Mode

None of the above

**Q.**

What does cumulative frequency mean in a frequency table?

Sum of frequencies

Middle value of frequencies

Average of frequencies

Mean of frequencies

**Q.**In the following grouped frequency distribution table class marks are given. Find the greater than cumulative frequencies.

**Q.**

The frequency for class mark 42.5 is?

145

129

16

21

**Q.**

- 5, 12, 14, 18, 19
- 5, 12, 14, 18, 18
- 12, 12, 14, 18, 19
- 5, 12, 18, 18, 19

**Q.**

Find the values of p, q, r and s in the given cumulative frequency distribution.

DataPointfrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550

p = 0, q = 10, r = 35, s = 42

p = 3, q = 13, r = 28, s = 35

p = 3, q = 13, r = 35, s = 42

p = 3, q = 13, r = 38, s = 45

**Q.**Cumulative frequency is the progressive sum of frequencies from either first class or last class to particular class.

- True
- False

**Q.**Find the values of p, q, r and s in the given cumulative frequency distribution.

xfrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550

- p = 3, q = 13, r = 28, s = 35
- p = 3, q = 13, r = 35, s = 42
- p = 3, q = 13, r = 38, s = 45
- p = 0, q = 10, r = 35, s = 42

**Q.**

Marks | Frequency | Cumulative Frequency |

0-10 | 2 | 2 |

10-20 | 8 | 10 |

20-30 | 12 | 22 |

30-40 | 18 | 40 |

40-50 | 28 | 68 |

50-60 | 22 | 90 |

60-70 | 6 | 96 |

70-80 | 4 | 100 |

- ungrouped data frequency distribution
- relative frequency distribution
- cumulative frequency distribution
- grouped data frequency distribution

**Q.**Find the missing cumulative frequency.

x | 2-3 | 3-4 | 4-5 | 5-6 | 6-7 |

frequency | 12 | 36 | 24 | 48 | 52 |

cumulative frequency | 12 | 48 | ? | 120 | 172 |

- 48
- 24
- 72
- 56

**Q.**a person earns 16000 per month .he spends 14 of his income on food 310 of the remainder on house rent and 521 of the remainder on education of children .how much money is still left with him

**Q.**The class-width of the intervals in the given grouped frequency disribution table is:

Class interval | Frequency |

0-10 | 2 |

10-20 | 10 |

20-30 | 21 |

30-40 | 19 |

40-50 | 7 |

50-60 | 1 |

Total | 60 |

- 7
- 9
- 10
- 5

**Q.**The frequency distribution of a variate X is as given below:

X | 2 | 3 | 4 | 5 | 6 |

frequency | 2 | 7 | 14 | 22 | 30 |

- 36
- 44
- 45
- 52

**Q.**Find the values of p, q, r and s in the given cumulative frequency distribution.

xfrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550

- p = 0, q = 10, r = 35, s = 42
- p = 3, q = 13, r = 28, s = 35
- p = 3, q = 13, r = 35, s = 42
- p = 3, q = 13, r = 38, s = 45

**Q.**Find the values of p, q, r and s in the given cumulative frequency distribution.

xfrequencyCumulative frequency103p1510q2025r257s30550

- p = 0, q = 10, r = 35, s = 42
- p = 3, q = 13, r = 28, s = 35
- p = 3, q = 13, r = 35, s = 42
- p = 3, q = 13, r = 38, s = 45

**Q.**

Find the values of p, q, r and s in the given cumulative frequency distribution.

DataPointfrequencyCumulative frequency103p=−−−−1510q=−−−−2025r=−−−−257s=−−−−30550

p = 0, q = 10, r = 35, s = 42

p = 3, q = 13, r = 38, s = 45

p = 3, q = 13, r = 28, s = 35

p = 3, q = 13, r = 35, s = 42

**Q.**

**Question 103**

In a hypothetical sample of 20 people, the amount of money (in Rs thousands) with each was found to be as follows :

114, 108, 100, 98, 101, 109, 117, 119, 126, 131,

136, 143, 156, 169, 182, 195, 207, 219, 235, 118

Draw a histogram of the frequency distribution, taking one of the class intervals as 50-100.

**Q.**Which class-interval has the maximum frequency?

- 0−10
- 30−40
- 10−20
- 40−50