Frequency

Q.

What is the $N$ in statistics?

Q.

Question 51

The number of times a particular observation occurs in a given data, is called its ___,

Q.

Following figures relate to the weekly wages (in Rs) of 15 workers in a factory :

300, 250, 200, 250, 200, 150, 350, 200, 250, 200, 150;300, 150, 200, 250

Prepare a frequency table.

(i) What is the.range in wages (in Rs)?

(ii) How many workers are getting its 350 ?

(iii) How many workers are getting the minimum wages ?

Q. A __________ is a pictorial representation of data with rectangular bars of uniform width.

1. Bar Graph
2. Histogram
3. Frequency Polygon
4. Pie Chart

Q. The difference between the upper class limit and lower class limit is called class .

1. width
2. frequency
3. interval
4. mark

Q. In a frequency distribution, the first and the second classes are 0-10 and 10-20 respectively. What is the lower limit of the fourth class if the class size is same?

1. 40
2. 50
3. 20
4. 30

Q.

Prepare a frequency table of the following scores obtained by 50 students in a test:

42, 51, 21, 42, 37, 37, 42, 49, 38, 52, 7, 33, 17,

44, 39, 7, 14, 27, 39, 42, 42, 62, 37, 39, 67, 51,

53, 53, 59, 41, 29, 38, 27, 31, 54, 19, 53, 51, 22,

61, 42, 39, 59, 47, 33, 34, 16, 37, 57, 43

Q.

A company manufactures car batteries of a particular type. The lives (in years) of $40$ such batteries were recorded as follows: $$\begin{gathered} 2.6,3.0,3.7,3.2,2.2,4.1,3.5,4.5,3.5,2.3,3.2,3.4,3.8,3.2,4.6,3.7, \\ 2.5,4.4,3.4,3.3,2.9,3.0,4.3,2.8,3.5,3.2,3.9,3.2,3.2,3.1,3.7,3.4, \\ 4.6,3.8,3.2,2.6,3.5,4.2,2.9,3.6. \end{gathered}$$

Construct a grouped frequency distribution table for this data, using class intervals of size $0.5$ starting from the interval $2-2.5$.

Q.

Consider the sequence of numbers

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, ..

Identify $5^{th}$, $8^{th}$ & ${12}^{th}$ term in the above sequence.

1. 14, 23, 32

2. 17, 26 , 38

3. 11, 20, 32

4. 14, 23, 35

Q.

The list below shows the number of members in 20 families in a village.

Make a frequency table and then answer these questions:

(i) How many families have exactly 6 members?

(ii) How many have fewer than 5 members?

(iii) How many have just 2 members?

Now make three such questions of your own.

Q.

a) Which class has the highest frequency?

b) If Sachin scores 20 then in which interval will he be placed in?

c) What is the upper-class limit of the class interval 10-20?

$\begin{array}{cc}Runs& Cricketers\\ 0-10& 10\\ 10-20& 3\\ 20-30& 14\\ 30-40& 25\\ 40-50& 11\end{array}$

1. a) 30-40; b) 10 - 20; c) 20

2. a) 30-40; b) 20 - 30; c) 20

3. a) 30-40; b) 20 - 30; c) 10

4. a) 30-40; b) 10 - 20; c) 10

Q. In a frequency distribution, the first and the second classes are 0 -10 and 10 -20. Then, the lower limit of the fourth class is

1. 40
2. 50
3. 20
4. 30

Q. Question 2(i)
A group of 360 people were asked to vote for their favourite season from the seasons rainy, winter and summer.
Which season got the most votes?

Q. In a frequency distribution, the first and the second classes are 0-10 and 10-20 respectively. What is the lower limit of the fourth class if the class size is same?

1. 40
2. 50
3. 20
4. 30

Q.

Choose the correct option(s) according to the following table:
$\begin{array}{cccccc}Class& \text{0-20}& \text{20-40}& \text{40-60}& \text{60-80}& \text{80-100}\\ Frequency& \text{10}& \text{7}& \text{16}& \text{18}& \text{8}\end{array}$

1. True

2. False

3. Frequency of class interval (20-40) is 16.

4. Frequency of class interval (20-40) is 7.

Q. A basket constants three types of fruits weighting $19\frac{1}{3}kg$ in all. If $8\frac{1}{9}kg$ of these be apples. $3\frac{1}{6}kg$ be oranges and the pears. What is the weight of the pears in the basket?

Q.

Question 51

The number of times a particular observation occurs in a given data, is called its ___,

Q.

Explain the meaning of class size.

Q.

In the following data:

10, 12, 14, 12, 10, 10, 15, 19, 10, 11

the frequency of number 10 is:

1. 4

2. 3

3. 1

4. 2

Q. In the frequency distribution table given below, which class interval has the lowest frequency?
$$\begin{array}{cc}ClassInterval& Frequency\\ 25-35& 1\\ 35-45& 5\\ 45-55& 5\\ 55-65& 4\\ 65-75& 0\\ 75-85& 8\\ 85-95& 2\\ Total& 25\end{array}$$

1. 65 – 75
2. 25 – 35
3. 85 – 95
4. 55 – 65

Q.

An arithmetic sequence has $6^{th}$ term as 52 and ${15}^{th}$ term as 142. Find a & d .

1. 2, 10

2. 10, 2

3. 2, 20

4. 20, 2

Q.

Question 65

Using the frequency table, answer the following:

9 students got full marks ?
$\begin{array}{ccccccc}\text{Marks(Obtained out of 10)}& 4& 5& 7& 8& 9& 10\\ \text{Frequency}& 5& 10& 8& 6& 12& 9\end{array}$

Q. The unit for frequency of a wave is:

1. sec (second)
2. n (nu)
3. F (faraday)
4. Hz (Hertz)

Q. The class marks of a frequency distribution are 88, 99, 110, 121, 132, 143. Find the class size.

1. 10
2. 11
3. 88
4. 143

Q. Question 4
The width of each of five continuous classes in a frequency distribution is 5 and the lower class limit of the lowest class is 10. The upper class limit of the highest class is:

A) 15
B) 25
C) 35
D) 40

Q. The difference in S.I. and C.I. on a certain sum of money in $2$ years at $15\%$ p.a. is Rs. $144$. Find the sum.

1. Rs. $6000$
2. Rs. $6200$
3. Rs. $6300$
4. Rs. $6400$

Q. How many students have height more than or equal to 135 cm but less than 150 cm?

1. 46
2. 53
3. 42
4. 47

Q.

Question 67

Using the frequency table, answer the following:

$\begin{array}{ccccccc}\text{Marks(Obtained out of 10)}& 4& 5& 7& 8& 9& 10\\ \text{Frequency}& 5& 10& 8& 6& 12& 9\end{array}$
The frequency of more than 8 marks is 21 ?

Q.

Question 65

Using the frequency table, answer the following:

9 students got full marks ?
$\begin{array}{ccccccc}\text{Marks(Obtained out of 10)}& 4& 5& 7& 8& 9& 10\\ \text{Frequency}& 5& 10& 8& 6& 12& 9\end{array}$

Q. The number of times a particular item occurs in a class interval is called its ________.

1. mean
2. frequency
3. cumulative frequency
4. none of these