Grouped Data

Q.

Question 5
If m is the mid-point and l is the upper class limit of a class in a continuous frequency distribution, then the lower class limit of the class is:

A) 2m + I
B) 2m - l
C) M - l
D) M - 2I

Q. In the series of cIasses: 0-20, 20-40, 40-60, 60-80 of a grouped data, 25 is included in the class

1. 0-20
2. 20-40
3. 40-60

Q. This graph shows the different types of pizza sales on a day. Based on the data, what is the most reasonable estimate for the type of pizza T3 sales if 4500 pizzas are sold on 30 days?

1. 3400
2. 1200
3. 1400
4. 1800

Q.

State True or False:

The arrangement of data in rows and columns is called classification of data.

1. True
2. False

Q.

The range of the following set of integers:

-2 5 12 -10 0 -9 -13 1 4 2 9 -8

is 25. State whether the statement is True or False.

1. 25

2. -1

Q. Match the outliers with the correct stem-and-leaf plots.

1. 59
2. 11
3. 72

Q.

In a class of five students, the table shows the marks obtained by 5 students in Maths, Physics and Chemistry. Find the answer of the following questions. [4 MARKS]

a) Which roll no. secured maximum marks?

b) Are there any students who scored equal marks?

c) Who got least aggregate marks?

d) How much marks were scored by roll no. 4?

$\begin{array}{cccc}\text{Roll No.}& \text{Maths}& \text{Physics}& \text{Chemistry}\\ 1& 67& 78& 67\\ 2& 57& 78& 75\\ 3& 78& 64& 72\\ 4& 84& 60& 69\\ 5& 69& 70& 73\end{array}$

Q. For the following distribution, calculate the range of data

Marks	20-30	30-40	40-50	50-60	60-70	70-80	80-90
No. of students	4	6	10	25	7	5	2

1. $40$
2. $70$
3. $80$
4. $30$

Q.

In the groups 0-20, 20-40, 40-60, 60-80 of a grouped data, 20 is included in the group 0-20.

1. True

2. False

Q. To find the average or mean of a data, it has to be arranged either in ascending or descending order only.

1. False
2. True

Q. The number of books bought at a book fair by $200$ students from a school are given in the following table.

x	$2$	$4$	$6$	$8$	$10$	$12$	$14$	$16$
f	$4$	$4$	$5$	$15$	$8$	$5$	$4$	$5$

Calculate the standard deviation.

Q. The range of the data:
$25,18,20,22,16,6,17,15,12,30,32,10,19,8,11,20$ is

1. $10$
2. $18$
3. $15$
4. $26$

Q. The following table gives the marks obtained by the students of a class in English.
$\begin{array}{cc}Marks& Numberofstudents\\ 30& 2\\ 40& 5\\ 50& 14\\ 60& 21\\ 70& 23\\ 80& 8\\ 90& 7\\ 100& 1\end{array}$
Which type of data is represented in the above table
?

1. Ungrouped data
2. Gouped data
3. Raw data
4. All of the above.

Q. For the following distribution, calculate the range of data.

Class Interval	$116-125$	$126-135$	$136-145$	$146-155$	$156-165$	$166-175$
Frequency	$5$	$9$	$13$	$7$	$11$	$6$

1. $50$
2. $60$
3. $70$
4. $80$

Q. The bar graph below shows the number of goods produced and sold during the years 2012–15.
The number of unsold goods are carried forward each year. Find the number of goods that were carried forward to 2016.

1. 35, 000
2. 25, 000
3. 5, 000
4. 40, 000

Q. The scores of a student in $5$ class tests is given below:
$74,85,65,94,79$
Calculate the range of the student's test scores.

Q.

(a). Choose the largest and smallest integer among the following: [4 MARKS]

$32,-50,-75,120,-365,175$

(b). Simplify:
$(-3)+(-2)+(-5)+7$

(c). $-6÷3=?$

(d). $3\times 6\times 2\times (-40)=?$

Q. The final marks in mathematics of 30 students are as follows:

53, 61, 48, 60, 78, 68, 55, 100, 67, 90
75, 88, 77, 37, 84, 58, 60, 48, 62, 56
44, 58, 52, 64, 98, 59, 70, 39, 50, 60

(i) Arrange these marks in the ascending order. 30 to 39 one group, 40 to 49 second group, etc.
(ii) What is the highest score?
(iii) What is the lowest score?
(iv) What is the range?
(v) If 40 is the pass mark how many have failed?
(vi) How many have scored 75 or more?
(vii) Which observations between 50 and 60 have not actually appeared?
(viii) How many have scored less than 50?

Q.

The following bar graph gives the marks scored by 3 students, Shubh, Aman and Anurag out of 100. Whose average score is highest in all the 3 subjects?

Q. The weights of new born babies (in kg) in a hospital on a particular day are as follows:
$2.3,2.2,2.1,2.7,2.6,3.0,2.5,2.9,2.8,3.1,2.5,2.8,2.7,2.9,2.4$
Determine the range.

Q. The rainfall (in mm) in a city on 7 days of a certain week was recorded as follows:

Day	Mon	Tue	Wed	Thu	Fri	Sat	Sun
Rainfall (in mm)	0.0	12.2	2.1	0.0	20.5	5.3	1.0

Find the range of the rainfall from the above data. (in mm)

Q. Mr. Keshav listed $9$ integers on the blackboard. What is the range of these integers?
$23,-13,20,19,11,-25,-9,22,12$

1. $23$
2. $28$
3. $-9$
4. $48$

Q. The midvalue of the class interval (a-b) is

1. $\sqrt{ab}$
2. $\frac{a+b}{2}$
3. $\frac{a\times b}{2}$
4. $\frac{a-b}{2}$

Q. $2.3,2.2,2.1,2.7,2.6,3.0,2.5,2.9,2.8,3.1,2.5,2.8,2.7,2.9,2.4$

Q. Calculate the standard deviation from the following frequency distribution.

C.I.	$60-62$	$62-64$	$64-66$	$66-68$	$68-70$
Frequency	$35$	$27$	$20$	$13$	$5$

Q. The distance covered by 5 candidates in a relay race is given. The mean distance covered by each participant is 2 $\frac{1}{2}$ km.

1. True
2. False

Q. The weight of new born babies (in kg) in a hospital on a particular day are as follows:
$2.3,2.2,2.1,2.7,2.6,3.0,2.5,2.9,2.8,3.1,2.5,2.8,2.7,2.9,2.4$
Determine the range.

Q. Which of the following statements is true about the given line plot?

Q.

The final marks in Mathematics of $30$ students are as follows:

$53,61,48,60,78,68,55,100,67,90,75,88,77,37,84,58,60,48,62,5644,58,52,64,98,59,70,39,50,60.$

(i) Arrange these marks in the ascending order, $30-39$ one group, $40-49$ second group; etc.

Now answer the following:

(ii) What is the highest score?

(iii) What is the lowest score?

(iv) What is the range?

(v) If $40$ is the pass mark, how many have failed?

(vi) How many have scored $75$ or more?

(vii) Which observations between $50and60$ have not actually appeared?

(viii) How many have scored less than $50$?

Q. The final marks in mathematics of $30$ students are as follows:
$53,61,48,60,78,68,55,100,67,90$
$75,88,77,37,84,58,60,48,62,56$
$44,58,52,64,98,59,70,39,50,60$
If $40$ is the pass mark how many have failed ?