Question

The frequency table of the weights (in kilograms) of the students is given
alongside:
Answer the questions with reference to the given table:
Frequency (Number of Students)
8
15
Class intervals (Wt. in.kg)
40 ? 45
45 ? 50
50? 55
55 ? 60
60 ? 65
14
9
3
(1) How many classes are there in the given table?
(ii) What is the frequency of the class 50 to 55?
(iii) Which class has the maximum frequency?
(iv) Which is the class with frequency 9?
(v) What is the lower limit of the class 50 to 55?
(vi) What is the upper limit of the class 55 to 60?
(vii) in which class will a student weighing 57 kg be included?
(viii) How many studentil weights are given in the table?
(ix) State the number of students weighing less than 56 kg?
(x) What is the maximum weight of the student which can be included in
the given table?​

Answer 1

Step-by-step explanation:

1. 5
2. 14
3. 45-50
4. 55-60
5. 50
6. 60
7. 55-60
8. 49
9. 37

Answer 2

Correct Question

The frequency table of the weights (in kilograms) of the students is given

alongside:

$\begin{tabular}{|c|} \underline{Class Intervals}\\ 40 - 45\\45 - 50\\50- 55\\55 - 60\\60 - 65\\ \\\end{tabular}$$\begin{tabular}{|c|} \underline{Frequency (Number of Students)}\\ 8\\15\\ 14\\9\\3\\ \sum f = 49 \\\end{tabular}$

Answer the questions with reference to the given table:

(i) How many classes are there in the given table?

(ii) What is the frequency of class 50 - 55?

(iii) Which class has the maximum frequency?

(iv) Which is the class with frequency 9?

(v) What is the lower limit of class 50 - 55?

(vi) What is the upper limit of class 55 - 60?

(vii) in which class will a student weighing 57 kg be included?

(viii) How many student weights are given in the table?

(ix) State the number of students weighing less than 55 kg?

(x) What is the maximum weight of the student which can be included in

the given table?​

Answer

The answers are i) 5 classes ii) 14students iii) 45-50 kg iv) 9 students v) 50 kg  vi) 60 kg vii) 55-60 kg viii) 49 students ix) 37 students x) 64.99

Given

Frequency Table

To Find

(i) How many classes are there in the given table?

(ii) What is the frequency of class 50 - 55?

(iii) Which class has the maximum frequency?

(iv) Which is the class with frequency 9?

(v) What is the lower limit of class 50 - 55?

(vi) What is the upper limit of class 55 - 60?

(vii) in which class will a student weighing 57 kg be included?

(viii) How many student weights are given in the table?

(ix) State the number of students weighing less than 56 kg?

(x) What is the maximum weight of the student which can be included in

the given table?​

Solution

Here we are given

$\begin{tabular}{|c|} \underline{Class Intervals}\\ 40 - 45\\45 - 50\\50- 55\\55 - 60\\60 - 65 \\\end{tabular}$$\begin{tabular}{|c|} \underline{Frequency (Number of Students)}\\ 8\\15\\ 14\\9\\3\\\end{tabular}$

i)

We can physically count the number of classes here.

Therefore, there are 5 classes.

ii)

As we can see from the table that the frequency that is written in the same row as 50-55 is 14.

Hence, the frequency of class 50-55 is 14 students.

iii)

We can see that in the frequency column the maximum value is 15. The class corresponding to this is 45-50

Hence, the class with the highest frequency is 45-50 kg.

iv)

The frequency 9 is written in the same row as class 55-60

Hence, 55-60 is the class with a frequency of 9 students.

v)

The lower limit of any class is the value written on the left or the least value of the class.

Therefore, the lower limit of the class 50-55 is 50 kg

vi)

The upper limit of any class is the value written on the right or the highest value of the class.

Therefore, the upper limit of the class 55-60 is 60 kg.

vii)

57 kg falls between 55 kg and 60 kg.

Hence, a student weighing 57 kg will be included in class 55-60 kg.

viii)

The number of student weights is the summation of the frequencies given

= 8 + 15 + 14 + 9 + 3 students

= 49 students

Hence, there are 49 students' weights given.

ix)

The number of students weighing less than 55 kg is the sum of frequencies before the 55-60 kg class

= 8 + 15 + 14 students

= 37 students

Hence 37 students weigh less than 55 kg

x)

According to the rule for continuous frequency table,

The value of the upper limit cannot be included in that class. Instead, it is included in the next class.

Hence, the maximum value that can be included must be less than 65 kg.

Hence, the maximum value we can include in the table is 64.99 kg

Hence the answers are i) 5 classes ii) 14students iii) 45-50 kg iv) 9 students v) 50 kg  vi) 60 kg vii) 55-60 kg viii) 49 students ix) 37 students x) 64.99

%SPJ2