6th Maths : Term 1 Unit 5 : Statistics : Exercise 5.4 : Miscellaneous practice problems, Challenging Problems : Text Book Back Exercises Questions with Answers, Solution

__Exercise
5.4__

** **

__Miscellaneous
practice problems__

**1.
The heights (in centimeters) of 40 children are.**

**110
112 112 116 119 111 113 115 118 120**

**110
113 114 111 114 113 110 120 118 115**

**112
110 116 111 115 120 113 111 113 120**

**115
111 116 112 110 111 120 111 120 111**

**Prepare
a tally mark table.**

**Solution:**

** **

**2.
There are 1000 students in a school. Data regarding the mode of transport of the
students is given below. Draw a pictograph to represent the data.**

**Solution:**

** **

**3.
The following pictograph shows the total savings of a group of friends in a year.
Each picture represents a saving of Rs.100. Answer the following questions.**

**(i)
What is the ratio of Ruby’s saving to that of Thasnim’s? **

**(ii)
What is the ratio of Kuzhali’s savings to that of others? **

**(iii)
How much is Iniya’s savings?**

**(iv)
Find the total amount of savings of all the friends?**

**(v)
Ruby and Kuzhali save the same amount. Say True or False.** **Answer:** True

** **

__Challenging
Problems__

**4.
The table shows the number of moons that orbit each of the planets in our solar
system.**

**Make
a Bar graph for the above data.**

**Solution:**

** **

**5.
The prediction of Weather in the month of September is given below.**

**(i)
Make a frequency table of the types of weather by reading the calendar.**

Answer:

**Weather : No. of days**

Sunny : 10

Partly cloudy : 6

Cloudy : 8

Rainy : 6

Total : 30

**(ii)
How many days are either cloudy or partly cloudy?**

**Answer:** 6 + 8 = 14 days

**(iii)
How many days do not have rain? Give two ways to find the answer?**

**Answer:**

24 days

(i) Subtract Rainy days from total

(ii) Add sunny, partly cloudy and cloudy days

**(iv)
Find the ratio of the number of Sunny days to Rainy days.**

**Answer:** 10 : 6

** **

**6.
30 students were interviewed to find out what they want to become in future. Their
responses are given in the following table.**

**Represent
this data using Pictograph.**

**Solution:**

** **

**7.
Yasmin of class VI was given a task to count the number of books which are biographies,
in her school library. The information collected by her is represented as follows.**

**Observe
the pictograph and answer the following questions.**

**(i)
Which title has the maximum number of biographies?**

**Answer:** Novelists

**(ii)
Which title has the minimum number of biographies?**

**Answer:** Scientists

**(iii)
Which title has exactly half the number of biographies as Novelists?**

**Answer:** Sports Persons

**(iv)
How many biographies are there on the title of Sportspersons?**

**Answer:** 25

**(v)
What is the total number of biographies in the library?**

**Answer:** 160

** **

**8.
The bar graph illustrates the results of a survey conducted on vehicles crossing
over a Toll Plaza in one hour.**

**Observe
the bar graph carefully and fill up the following table.**

**Solution:**

** **

**9.
The lengths (in the nearest centimetre) of 30 drumsticks are given as follows.**

**Draw
the bar graph showing the same information.**

**Solution:**

** **

__Answers:__

__Exercise 5.4__

**1)**

**3) i) 5 : 4 ii) 5 : 19 iii) ₹ 300 iv) ₹ 2400 v) true **

**5) ii) 14 days iii) 24 days iv) 10 : 6 **

**7) i) Novelists ii) Scientists iii) Sportspersons iv) 25 v) 160**

** **

**Prasanta Chandra Mahalanobis**

(29.06.1893 – 28.06.1972)

He was born in Bikrampur in Bengal.
He was the founder of Indian Statistical Institute and greatly helped in data analysis
for Indian Government.

Tags : Questions with Answers, Solution | Statistics | Term 1 Chapter 5 | 6th Maths , 6th Maths : Term 1 Unit 5 : Statistics

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6th Maths : Term 1 Unit 5 : Statistics : Exercise 5.4 | Questions with Answers, Solution | Statistics | Term 1 Chapter 5 | 6th Maths

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