Frequency Table of Grouped Data (Exclusive Form)

Q. Question 2
Refer to Question above, construct a grouped frequency distribution table with width 10 of each class, in such a way that one of the class is 10 - 20 (20 not included).

Q.

A study was conducted to find out the concentration of sulphur dioxide in the air in parts per million (ppm) of a certain city. The data obtained for 30 days is as follows:$$\begin{array}{cccccc}0.03& 0.08& 0.08& 0.09& 0.04& 0.17\\ 0.16& 0.05& 0.02& 0.06& 0.18& 0.20\\ 0.11& 0.08& 0.12& 0.13& 0.22& 0.07\\ 0.08& 0.01& 0.10& 0.06& 0.09& 0.18\\ 0.11& 0.07& 0.05& 0.07& 0.01& 0.04\end{array}$$
The concentration of sulphur dioxide was more than 0.11 parts per million for 8 days.

1. True

2. False

Q. The weights of 45 children are given below: 41, 31, 48, 34, 75, 39, 45, 41, 55, 52, 40, 57, 43, 61, 47, 64, 56, 47, 41, 59, 46, 67, 45, 64, 48, 52, 58, 53, 64, 59, 43, 50, 62, 54, 68, 59, 69, 57, 57, 53, 52, 56, 61, 55, 69.
Make a histogram and find the number of children whose weights are in the range of 50 - 70?

1. 10
2. 18
3. 28
4. 41

Q.

The class interval with the highest frequency is

1. 35.5-40.5

2. 55.5-60.5

3. 45.5-50.5

4. 50.5-55.5

Q.

What is the square of 0.15?

1. $0.0205$

2. $0.0255$

3. $0.0225$

4. $0.0245$

Q.

Data in an unorganised form is called ___.

1. range

2. interval

3. raw data

4. observation

Q. Tally marks are used to find frequency for a data set.

1. True
2. False

Q. The arithmetic mean of marks scored by 10 students was 20. Nikhil, one of the students, inquired other 9 students and recorded their deviation from his marks as -5, 6, 2, -2, 0, 2, 4, -3, 6. Find the marks of Nikhil.

1. 19
2. 15
3. 21
4. 17

Q.

Match the two columns
$\begin{array}{ccc}& \text{Column-I \& Column-II}& \\ & \text{(A)The class mark of the class interval}& \text{(p)}13\\ & \text{145-150 is}& \\ & \text{(B)In a frequency distribution, the mid – value of a}& \text{(q)22.5–27.5}\\ & \text{class is 10 and width of each class is 6. The upper}& \\ & \text{limit of the class is}& \\ & \text{(C)The class marks of a frequency distribution are}& \text{(r)147.5}\\ & \text{15, 20, 25, 30, .....}\text{The class corresponding to the class}& \\ & \text{mark 25 is}& \end{array}$

Choose the correct option:

1. A-p; B-r; C-q

2. A-q; B-p; C-r

3. A-r; B-p; C-q

4. A-p; B-q; C-r

Q. The frequency distribution
$\begin{array}{ccccc}\text{Marks}& 0-20& 20-40& 40-60& 60-100\\ \text{Number of}& 10& 15& 20& 25\\ \text{students}& & & & \end{array}$

has been represented graphically as follows:


Do you think this representation is correct? Why?

Q.

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$\begin{array}{cccccccccc}1& 6& 2& 3& 5& 12& 5& 8& 4& 8\\ 10& 3& 4& 12& 2& 8& 15& 1& 17& 6\\ 3& 2& 8& 5& 9& 6& 8& 7& 14& 12\end{array}$
(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10. [2 MARKS]

Q.

Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$\begin{array}{cccccccccc}1& 6& 2& 3& 5& 12& 5& 8& 4& 8\\ 10& 3& 4& 12& 2& 8& 15& 1& 17& 6\\ 3& 2& 8& 5& 9& 6& 8& 7& 14& 12\end{array}$
Make a grouped frequency distribution table for this data, taking class width as 5 and one of the class intervals as 5- 10.

1. $\begin{array}{cc}Hours& Numberofchildren\\ 0-5& 11\\ 5-10& 12\\ 10-15& 5\\ 15-20& 2\\ Total& 30\end{array}$
   

2. $\begin{array}{cc}Hours& Numberofchildren\\ 0-5& 10\\ 5-10& 13\\ 10-15& 5\\ 15-20& 2\\ Total& 30\end{array}$

3. $\begin{array}{cc}Hours& Numberofchildren\\ 0-5& 10\\ 5-10& 14\\ 10-15& 4\\ 15-20& 2\\ Total& 30\end{array}$

4. None of the above

Q.

Find the sum of the least and the highest frequency from the observation table shown below.

$$\begin{array}{ccccccc}\text{Dice}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 4& 7& 13& 9& 14& 6\end{array}$$

1. 4

2. 18

3. 14

4. 6

Q.

Find out the frequency of observation greater than or equal to 4.

$$\begin{array}{ccccccc}\text{Dice}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 10& 12& 6& 4& 8& 10\end{array}$$

1. 15

2. 18

3. 22

4. 20

Q. Question 8 (i)
Thirty children were asked about the number of hours they watched TV programmes in the previous week. The results were found as follows:
$\begin{array}{cccccccccc}1& 6& 2& 3& 5& 12& 5& 8& 4& 8\\ 10& 3& 4& 12& 2& 8& 15& 1& 17& 6\\ 3& 2& 8& 5& 9& 6& 8& 7& 14& 12\end{array}$
(i) Make a grouped frequency distribution table for this data, taking class width 5 and one of the class intervals as 5- 10.

Q.

The marks obtained by 10 students in a mathematics test are
given here: 52, 46, 92, 78, 62, 44, 34, 46, 58, 52.
The presentation of data in the above manner is called ungrouped frequency table.

1. True

2. False

Q.

The graph below shows the number of people of different age groups staying in a hotel. Find the correct statement(s) among the options.

1. Total number of people in 0-20 age group is 10

2. Total number of people in 0-20 age group is 5

3. Maximum number of people are from age group of 21-30 years

4. Total number of people staying in the hotel is 35

Q.

See the following data:

$112,118,124,108,115,114,124,112,114,116,119,120,114,108,120,112,118,126,130,114$

From the above, data the frequency of 114 is :-

1. $3$

2. $5$

3. $2$

4. $4$

Q.

Given below are the heights of 20 students in centimetres. Find the number of students whose height is greater than 179 cm.

$$\begin{array}{cc}150& 178\\ 153& 156\\ 162& 184\\ 170& 176\\ 186& 173\\ 153& 186\\ 162& 159\\ 180& 183\\ 165& 180\\ 150& 156\end{array}$$

1. 7

2. 10

3. 15

4. 9

Q. Classify the following polynomials as monomials, binomials, and trinomials. Which polynomial do not fit in any of these three categories?
$x+y,1000,x+x^2+x^3+x^4,7+y+5x,2y-3y^2,2y-3y^2+4y^3,$$5x-4y+3xy,4z-15z^2,ab+bc+cd+da,pqr,p^{2}q+p{q}^2,2p+2q$

Q. Simplify :
$a/10+2a/5$

Q.

Find the frequency of 40 in the following given set of data.

10, 40, 80, 100, 60, 40, 30, 40, 20, 40.

1. 1

2. 2

3. 3

4. 4

Q.

If the classes in a grouped frequency distribution are not continuous, we can make them continuous by finding half of the difference between the upper limit of a class and the lower limit of the next class, and then adding the same to all the lower limits and subtracting it from all the upper limits in the distribution.

1. False

2. True

Q.

The histogram gives the information about the number of literate males along with their age. Below the age of 30, how many males are literate?

1. 800
2. 1400
3. 1300
4. 1900

Q.

What is the lower class limit for the class interval 40 - 70?

1. 35

2. 45

3. 55

4. 40

Q.

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.

Find the upper class - limit of the highest class.

1. 15

2. 40

3. 25

4. 35

Q.

Given below are the heights of 20 students in centimetres.

Find the number of students whose height is less than or equal to 169 cm

$$\begin{array}{cc}150& 178\\ 153& 156\\ 162& 184\\ 170& 176\\ 186& 173\\ 153& 186\\ 162& 159\\ 180& 183\\ 165& 180\\ 150& 156\end{array}$$

1. 9

2. 12

3. 10

4. 15

Q. Find the square of:
$607$

1. 368549
2. 368449
3. 368349
4. 368249