## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 15 Data Handling Objective Type Questions

**Mental Maths**

Question 1.

Fill in the blanks:

(i) A ……. is a collection of numerical figures to give some information.

(ii) Each numerical figure in a data is called an ………..

(iii) The number of times a particular observation occurs in a data is called … of the observation.

(iv) A data arranged in ascending or descending order is called an ………… data.

(v) A pictorial representation of a data is called a …………

(vi) If represent 5 students then represent ………… students.

(vii) In a pictograph, if one bicycle represents 20 bicycles then 140 bicycles can be represented by ………… bicycles.

(viii)In a pictograph, if one electric bulb represents 10 bulbs then the picture of half a bulb will represent ………… bulbs.

(ix) In a pictograph, if the symbol represents 50 fruits baskets, then represent ………… fruit baskets.

(x) The frequency of 8 is written symbolically as ………… using tally marks.

(xi) In a bar graph, the bars are of uniform …………

(xii) The mean of the first 8 natural numbers is …………

Solution:

(i) A data is a collection of numerical figures to give some information.

(ii) Each numerical figure in a data is called an observation.

(iii) The number of times a particular observation

occurs in a data is called frequency of the observation.

(iv) A data arranged in ascending or descending order

is called an arrayed data.

(v) A pictorial representation of a data is called a pictograph.

(vi) If represent 5 students then represent 15 students.

(vii) In a pictograph, if one bicycle represents 20 bicycles

then 140 bicycles can be represented by 7 bicycles.

(viii)In a pictograph, if one electric bulb represents 10 bulbs

then the picture of half a bulb will represent 5 bulbs.

(ix) In a pictograph, if the symbol represents 50 fruits baskets,

then represent 120 fruit baskets.

(x) The frequency of 8 is written symbolically

as using tally marks.

(xi) In a bar graph, the bars are of uniform width.

(xii) The mean of the first 8 natural numbers is 4.5

Question 2.

State whether the following statements are true (T) or false (F):

(i) If the data is large, it is difficult to get information from raw data.

(ii) Pictographs and bar graphs help us in understanding and analyzing a data.

(iii) In a bar graph, bars can be drawn either vertically or horizontally.

(iv) In a bar graph, width of a bar has no significance. It is only for eye attraction.

(v) Usually, the tally marks are recorded in bunches of 5.

(vi) The frequency 9 is represented as filtlll using tally marks.

(vii) Mentioning of scale is necessary in pictographs.

(viii) Mean is always one of the number in a given data.

(ix) Median is always one of the numbers in a given data.

Solution:

(i) If the data is large, it is difficult to get information

from raw data. True

(ii) Pictographs and bar graphs help us in understanding

and analyzing a data. True

(iii) In a bar graph, bars can be drawn either vertically

or horizontally. True.

(iv) In a bar graph, width of a bar has no significance.

It is only for eye attraction. True

(v) Usually, the tally marks are recorded in bunches of 5. True

(vi) The frequency 9 is represented as fMI using tally marks. False

(vii) Mentioning of scale is necessary in pictographs. True

(viii) Mean is always one of the number in a given data. False

(ix) Median is always one of the numbers in a given data. False

**Multiple Choice Questions**

Observe the following pictograph which shows the number of ice cream cones sold by school ‘ canteen during a week. Chose the correct answer from the given options for questions 3 to 7:

Question 3.

The minimum number of ice cream cones were sold on:

(a) Monday

(b) Saturday

(c) Tuesday

(d) Thursday

Solution:

Thursday (d)

Question 4.

The maximum number of ice cream cones were sold on:

(a) Tuesday

(b) Friday

(c) Wednesday

(d) Thursday

Solution:

Tuesday (a)

Question 5.

Ratio of the number of ice cream cones sold on Saturday to the number of ice cream cones sold on Wednesday is.

(a) 3 : 2

(b) 2 : 3

(c) 4 : 5

(d) 4 : 7

Solution:

Saturday = 8

Wednesday = 12

⇒ 8 : 12

⇒ 2 : 3 (b)

Question 6.

Total number of ice cream cones sold during the whole week was:

(a) 33

(b) 67

(c) 65

(d) 57

Solution:

Monday = 10

Tuesday = 16

Wednesday = 12

Thursday = 7

Friday = 14

Saturday = 8

Total 67 ice cream (b)

Question 7.

If the cost of one ice cream cone is ₹20, then the sale value on Thursday was:

(a) ₹70

(b) ₹100

(c) ₹140

(d) ₹1340

Solution:

Number of ice creams sold on Thursday = 7

= ₹20 × 7 = ₹140 (c)

Observe the adjoining bar graph, showing the number of one-day international mathces played by cricket teams of different countries. Choose the correct answer from the given four options for questions 8 to 11:

Question 8.

Which country played maximum number of matches? .

(a) India

(b) England

(c) Pakistan

(d) Australia

Solution:

Australia (d)

Question 9.

How many matches did South Africa play?

(a) 16

(b) 18

(c) 20

(d) 24

Solution:

18 (b)

Question 10.

How many more matches were played by India than Pakistan?

(a) 6

(b) 12

(c) 24

(d) 30

Solution:

Pakistan = 24

India = 30

∴ 30 – 24 = 6 (a)

Question 11.

Ratio of the number of matches played by India to the number of matches played by Sri Lanka is

(a) 4 : 5

(b) 5 : 4

(c) 4 : 3

(d) 7 : 6

Solution:

India = 30

Sri Lanka = 24

⇒ 30 : 24 = 5 : 4 (b)

**Choose the correct answer from the given four options for questions 12 and 13:**

Question 12.

The mean of the first 6 odd natural numbers is

(a) 5

(b) 5.5

(c) 6

(d) 6.5

Solution:

First 6 odd natural numbers are:

1, 3, 5, 7, 9, 11

1 + 3 + 5 + 7 + 9 + 11

Mean = \(\frac{1+3+5+7+9+11}{6}\)

= \(\frac{36}{6}=6\) (c)

Question 13.

The median of the numbers 4, 4, 7, 5, 7, 6, 1, 3, 11 is

(a) 7

(b) 6

(c) 5

(d) 4

Solution:

Arrange the data in ascending order : 3, 4, 4, 5, 6, 7, 1,1, 11

Total terms = 9

Median = \(\left(\frac{n+1}{2}\right)\)th term

= \(\frac{9+1}{2}\) = 4th term = 6 (b)