# Free Data Handling Subjective Test 02 Practice Test - 6th grade

The marks (out 10) for 10 students are listed below.
7,8,3,4,2,9,10,3,6,7.
How many students scored more than 6 marks?
[1 MARK]

#### SOLUTION

Solution :

Let us arrange the following data in ascending order.
2,3,3,4,6,7,7,8,9,10.
We can clearly see from the above data that five students have marks greater than 6.

A car seller collects the following data of sales of cars from his shop.

Colour of carNumber of cars soldRed15Black20Silver17White12Others9

a)Which colour of cars is most liked?

b)What is the total number of cars sold from his shop?
[2 MARKS]

#### SOLUTION

Solution :

Each part: 1 Mark

a) Black coloured car is most liked by the customers. It is the highest selling product among all the colours.

b)  Total number of cars sold = (15 + 20 + 17 + 12 + 9) = 73.

What does the frequency of an observation in a data set mean? Which observation in the following data has the maximum frequency and which has the minimum frequency?

1, 1, 2, 4, 3, 2, 1, 2, 2, 4
[2 MARKS]

#### SOLUTION

Solution :

Frequency: 1 Mark
Maximum and minimum: 1 Mark

The frequency of an observation in a data set is the number of times that observation has occurred in a data set. It is basically the total count of that observation in that data-set.

2 has the maximum frequency as it occurred four times.
3 has the minimum frequency as it occurred once only

Following bar graph shows the number of books sold by a bookstore during five consecutive years. [3 MARKS] a) In which year, 200 books were sold?

b) How many books were sold in the year 1989?

c) What is the difference between the number of books sold in 1993 and 1992?

#### SOLUTION

Solution :

Each part: 1 Mark

The various inferences that we can draw from the above bar graph are:
In 1989 100 books were sold.
In 1990 200 books were sold.
In 1991 600 books were sold.
In 1992 300 books were sold.
In 1993 400 books were sold.

a) As we can see from the above bar graph, 200 books were sold in 1990.

b) In 1989, 100 books were sold.

c) Number of books sold in 1993 = 400
Number of books sold in 1992 = 300
The difference in the number of books sold in 1993 and 1992 = 400 - 300 = 100.

Suppose one makes a survey of 20 families in the colony and find out the number of children in each family. The number of children in each family are 2, 2, 2, 3, 1, 1, 2, 3, 2, 2, 1, 2, 2, 3, 1, 2, 1, 1, 3, 2 .State the frequency of each observation and also draw the tally chart. [3 MARKS]

#### SOLUTION

Solution :

State Frequency: 1 Mark
Tally Chart: 2 Marks

1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3.

In the data,

1 occurs 6 times

2 occurs 10 times

3 occurs 4 times The graph given below shows the sale of tee-shirts from Mon to Sat. [3 MARKS] Answer the following questions from the bar graph:
a) What is the information given by the bar graph?
b) Which day have the maximum number of selling of tee shirts? How many tee shirts?
c) Give the number of tee shirts sold on Wednesday?

#### SOLUTION

Solution : Each part: 1 Mark

a) The bar graph gives information of tee-shirts sold from Mon to Sat.
b) The maximum number of tee-shirts were sold on Saturday. That is 65.
c) The numbers of tee-shirts sold on Wednesday are 30.

The table shows the number of pets owned by students in classes A and B. Draw a bar graph.

PetClass AClass BDog1214Cat98Bird23
a. Which class has more number of pets?
b. Which class has the greater number of birds?
[4 MARKS]

#### SOLUTION

Solution :

Drawing: 2 Marks
Option a: 1 Mark
Option b: 1 Mark Total number of pets class A has = 12 + 9 + 2 = 23
Total number of pets class B has = 14 + 8 + 3 = 25
Clearly, class B has the greater number of pets.
Class A has 2 birds, while class B has 3 birds.
So class B has the greater number of birds.

Find the answers to the following questions based on the graph below:

a) What does the bar graph represent?

b) In which year did the city have the maximum rainfall?

c) In which year did the city have the minimum rainfall?

d) How much rainfall was recorded in the year 2007? [4 MARKS]

#### SOLUTION

Solution :

Each part: 1 Mark

a) The bar graph shows the total rainfall (in mm) in a city in different years. [ From 2007 to 2012]

b) Just by inspection, we can find that rainfall was maximum in the year 2012. The bar corresponding to the year 2012 is having maximum height.

c) Minimum rainfall was in the year 2011. The bar corresponding to the year 2011 is having minimum height.

d) 550 mm of rainfall was recorded in the year 2007.

The following are the number of mattresses purchased for a lodging house during the first five months of a year. [4 MARKS]

MonthNumber of mattressesJanuary20February25March15April30May10

a. Draw the pictograph of above table.
b. In which month were the most number of mattresses sold?
c. In which month were the least number of mattresses sold?

#### SOLUTION

Solution :

Option a: 2 Marks
Option b: 1 Mark
Option c: 1 Mark

Suppose 1 block represent 5 mattresses
So for the month of January, we need 4 blocks.

For February, we need 5 blocks.

For March, we need 3 blocks.

For April, we need 6 blocks.

For May, we need 2 blocks. The maximum number of mattresses were sold in April = 30.
The minimum number of mattresses were sold in May = 10.

A survey was done to find in which game students are interested in their free time. Total numbers of students were 150.
Draw a graph to show the given information. Take a scale: 1 unit length = 5 students.
a) Which game is preferred maximum by the students?
b) Which game is preferred maximum after basketball?
[4 MARKS]

#### SOLUTION

Solution : Bar graph: 2 Marks
Part a: 1 Mark
Part b: 1 Mark

The bar graph of the above information is as given below. a) Cricket is the game which is preferred maximum by the students, as 55 students play cricket.
b) Football is the game preferred by students after basketball.