Cumulative Frequency

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

1. 15
2. 14
3. 25
4. 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?

1. 2
2. 30
3. 32
4. 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'

1. 7
2. 14
3. 13
4. 12

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

1. 5
2. 7
3. 2
4. 14

Q.

The median class for the following data is
$$\begin{array}{cccccc}Marks& Below10& Below20& Below30& Below40& Below50\\ CumulativeFequency& 5& 10& 23& 31& 40\end{array}$$

1. 10-20

2. 20-30

3. 30-40

4. 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 ?

1. 5
2. 3
3. 7
4. 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?

1. 7
2. 3
3. 16
4. 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?

1. Median

2. Mean

3. Mode

4. None of the above

Q.

What does cumulative frequency mean in a frequency table?

1. Sum of frequencies

2. Middle value of frequencies

3. Average of frequencies

4. 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?

1. 145

2. 129

3. 16

4. 21

Q.

1. 5, 12, 14, 18, 19
2. 5, 12, 14, 18, 18
3. 12, 12, 14, 18, 19
4. 5, 12, 18, 18, 19

Q.

Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}DataPoint& \text{frequency}& \text{Cumulative frequency}\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

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

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

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

4. 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.

1. True
2. False

Q. Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

1. p = 3, q = 13, r = 28, s = 35
2. p = 3, q = 13, r = 35, s = 42
3. p = 3, q = 13, r = 38, s = 45
4. p = 0, q = 10, r = 35, s = 42

Q. Identify the type of frequency distribution.

1. ungrouped data frequency distribution
2. relative frequency distribution
3. cumulative frequency distribution
4. 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

1. $48$
2. $24$
3. $72$
4. $56$

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

1. 7
2. 9
3. 10
4. 5

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

X	$2$	$3$	$4$	$5$	$6$
frequency	$2$	$7$	$14$	$22$	$30$

What is the cumulative frequency of variate $X=5$?

1. $36$
2. $44$
3. $45$
4. $52$

Q. Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}x& frequency& Cumulativefrequency\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

1. p = 0, q = 10, r = 35, s = 42
2. p = 3, q = 13, r = 28, s = 35
3. p = 3, q = 13, r = 35, s = 42
4. p = 3, q = 13, r = 38, s = 45

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

$\begin{array}{ccc}x& \text{frequency}& \text{Cumulative frequency}\\ 10& 3& p\\ 15& 10& q\\ 20& 25& r\\ 25& 7& s\\ 30& 5& 50\end{array}$

1. p = 0, q = 10, r = 35, s = 42
2. p = 3, q = 13, r = 28, s = 35
3. p = 3, q = 13, r = 35, s = 42
4. p = 3, q = 13, r = 38, s = 45

Q.

Find the values of p, q, r and s in the given cumulative frequency distribution.
$\begin{array}{ccc}DataPoint& \text{frequency}& \text{Cumulative frequency}\\ 10& 3& p=----\\ 15& 10& q=----\\ 20& 25& r=----\\ 25& 7& s=----\\ 30& 5& 50\end{array}$

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

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

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

4. 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?

1. $0-10$
2. $30-40$
3. $10-20$
4. $40-50$