Mid Point of Class Interval

Q.

The mid-value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are

Q.

Choose the correct answer in each of the following questions:
Let m be the midpoint and u be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is
(a) 2m - u
(b) 2m + u
(c) m - u
(d) m + u

Q.

In a frequency distribution, the mid-value of a class is 15 and the class intervals is 4. The lower limit of the class is

1. 10

2. 12

3. 13

4. 14

Q. Question 6
The class marks of a frequency distribution are given as follows 15, 20, 25….. the class corresponding to the classmark 20 is:

A) 12.5 - 17.5
B) 17.5 - 22.5
C) 18.5 - 21.5
D) 19.5 - 20.5

Q.

Choose the correct answer in each of the following questions:
Let L be the lower class boundary of a class in a frequency distribution and m be the midpoint of the class. Which one of the following is the upper class boundary of the class?
(a) $m+\frac{(m+L)}{2}$
(b) $L+\frac{(m+L)}{2}$
(c) $2m-L$
(d) $m-2L$

Q.

If the class Mark in a frequency distribution are 2.03, 2.23, 2.43, 2.63, 2.83, 3.03, and 3.23 determine class size and boundaries

Q.

Let I be the lower class limit of a class-inerval in a frequency distribution and m be the mid-point of the class. Then, the upper class limit of the class is

1. $M+\frac{l+m}{2}$

2. $l+\frac{l+m}{2}$

3. $2m-l$

4. $m-2l$

Q.

If two bars in a histogram have unequal widths but the same height, then which class interval will have a higher density of observations?

1. The one with lower class width

2. Both have same density

3. Can't say

4. The one with higher class width

Q. Question 3 (i)
The relative humidity (in %) of a certain city for a month of 30 days was asfollows:
$$\begin{array}{cccccccccc}98.1& 98.6& 99.2& 90.3& 86.5& 95.3& 92.9& 96.3& 94.2& 95.1\\ 89.2& 92.3& 97.1& 93.5& 92.7& 95.1& 97.2& 93.3& 95.2& 97.3\\ 96.2& 92.1& 84.9& 90.2& 95.7& 98.3& 97.3& 96.1& 92.1& 89\end{array}$$
(i) Construct a grouped frequency distribution table with classes
84 - 86, 86 - 88, etc.

Q.

In a frequency distribution with classes $0-10$, $10-20$ etc., the size of the class intervals is $10$. The lower limit of the fourth class is

1. $40$

2. $50$

3. $20$

4. $30$

Q. Let m be mid value and​​​​ l be the upper limit of a class in a frequency distribution. the lower limit of the class is

Q. Class mark of a particular class is 9.5 and the class size is 6, then the class interval is

1. 3.5 - 15.5
2. 12.5 - 18.5
3. 6.5 - 12.5
4. 15.5 - 27.5

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

(a) mid-points

(b) class size

(c) frequency

(d) mean

Q. 65. Parallogram ABCD and rectangle ABEF are on the same base AB and have equal areas. Show that the perimeter of a parallogram is greater than that of rectangle

Q. In a frequency distribution, the mid value of a class is 20.5 and the width of the class is 10. The lower limit and upper limit of the class is

1. 15.5, 25​
2. 15, 25​
3. 15.5, 25.5​
4. 15, 25.5​

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

Q.

Which of the following is correct histogram for the given data?

1. 

2. None of these

3. 

4. 

Q. Match the two columns
$\begin{array}{ccc}& Column-I& Column-II\\ & \left(A\right)Theclassmarkoftheclassinterval& \left(p\right)13\\ & 145-150is& \\ & \left(B\right)Inafrequencydistribution,themid–valueofa& \left(q\right)110\\ & classis10andwidthofeachclassis6.Theupper& \\ & limitoftheclassis& \\ & \left(C\right)Themeanofeightnumbersis40.Ifone& \left(r\right)22.5–27.5\\ & numberisexcluded,theirmeanbecomes30.& \\ & Theexcludednumberis& \\ & \left(D\right)Theclassmarksofafrequencydistributionare& \left(s\right)147.5\\ & 15,20,25,30,\dots \dots Theclasscorrespondingtotheclass& \\ & mark25is& \end{array}$

Choose the correct option:

1. A-p; B-s; C-q; D-r
2. A-r; B-p; C-q; D-s
3. A-s; B-p; C-r; D-q
4. A-s; B-p; C-q; D-r

Q. Class mark of a particular class is 9.5 and the class size is 6, then the class interval is

1. 3.5 - 15.5
2. 6.5 - 12.5
3. 12.5 - 18.5
4. 15.5 - 27.5

Q. Given class intervals $0-8,8-16,16-24,24-32,...,$ then $24$ is considered in the class

1. $16-24$
2. $24-32$
3. $8-24$
4. $24-38$

Q. The class mark of class 90 - 120 is:

Q. For the given class of 90-120, the class mark is ______ .

1. 115
2. 105
3. 120
4. 90

Q.

Fill in the blank in the given table

$$\begin{array}{ccccccccc}X& 100& 250& 200& 50& 125& 1000& 4& 40\\ Y& 20& 8& 10& 40& & 2& 500& 50\end{array}$$

__

Q. Let L be the lower class boundary of a class in a frequency distribution and m be the midpoint of the class. Which one of the following is the upper class boundary of the class?
(a) $m+\frac{(m+L)}{2}$
(b) $L+\frac{m+L}{2}$
(c) $2m-L$
(d) $m-2L$

Q. Let $m$ be the mid-point and $l$ be the upper class limit of a class in a continuous frequency distribution. The lower class limit of the class is:

1. $2m+l$
2. $m+l$
3. $2m-l$
4. $m+2l$

Q.

Which of the following is correct histogram for the given data?

1. 

2. 

3. None of these

4. 

Q.

Class mark of a class is _____

1. $\frac{\text{upper limit - lower limit}}{2}$

2. Upper limit + lower limit

3. $\frac{\text{upper limit + lower limit}}{2}$

4. upper limit - lower limit

Q. A histogram can be used when individual data points are not necessary to analyse.

1. True
2. False

Q.

Which of the following is correct histogram for the given data?

1. 

2. 

3. 

4. None of these

Q.

For discontinuous grouped data, the class interval is given in _______ form.

1. inclusive

2. exclusive

3. class-mark

4. frequency