Scroll:Data Analysis >> Average of a Set of Data >> ps (1544)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.


 

1)  

The average height of 3 boys is 1.56m.
One more boy whose height is 1.40m joins the group.
What is the average height of the 4 boys

___m


Answer:_______________




2)  

The average number of sweets 3 children have is 12 
When 1 more child joins the group, the average number of sweets they have becomes 20.
What is the number of sweets the last child have


Answer:_______________




3)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 46kg.
What is the total mass of the 2 girls

kg


Answer:_______________




4)  

The average number of sweets 4 children have is 12.
When 2 more children join the group, the average number of sweets they have becomes 24.
What is the total number of sweets the last 2 children have altogether


Answer:_______________




5)  

There are 40 students in a class. The average score for a Science Test is 71 marks. After 2 students left the class, the average score for the test becomes 70 marks.

What are the total marks of the 2 students who left


Answer:_______________




6)  

The average height of 3 boys is 1.76m.
One more boy whose height is 1.56m joins the group.
What is the average height of the 4 boys

___m


Answer:_______________




7)  

The average number of sweets 3 children have is 18 
When 1 more child joins the group, the average number of sweets they have becomes 25.
What is the number of sweets the last child have


Answer:_______________




8)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 40kg.
What is the total mass of the 2 girls

kg


Answer:_______________




9)  

The average number of sweets 4 children have is 4.
When 2 more children join the group, the average number of sweets they have becomes 24.
What is the total number of sweets the last 2 children have altogether


Answer:_______________




10)  

There are 40 students in a class. The average score for a Science Test is 55 marks. After 2 students left the class, the average score for the test becomes 54 marks.

What are the total marks of the 2 students who left


Answer:_______________




 

1)  

The average height of 3 boys is 1.56m.
One more boy whose height is 1.40m joins the group.
What is the average height of the 4 boys

Answer: 1.52m


SOLUTION 1 :

Step 1: Total height for the 3 boys : 1.56 x 3 = 4.68m

Step 2: Total height for the 4 boys : 4.68  + 1.40 = 6.08m

Step 3: Average height of the 4 boys : 6.08 ÷ 4 = 1.52m



2)  

The average number of sweets 3 children have is 12 
When 1 more child joins the group, the average number of sweets they have becomes 20.
What is the number of sweets the last child have

Answer: 44


SOLUTION 1 :

Step 1: 12 x 3 = 36

Step 2: 20 x 4 = 80

Step 3: 80 - 36 = 44



3)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 46kg.
What is the total mass of the 2 girls

Answer: 172kg


SOLUTION 1 :

Step 1: 30 x 5 = 150kg

Step 2: 46 x 7 = 322kg

Step 3: 322 - 150 = 172kg



4)  

The average number of sweets 4 children have is 12.
When 2 more children join the group, the average number of sweets they have becomes 24.
What is the total number of sweets the last 2 children have altogether

Answer: 96


SOLUTION 1 :

Step 1: 12 x 4 = 48

Step 2: 24 x 6 = 144

Step 3: 144 - 48 = 96



5)  

There are 40 students in a class. The average score for a Science Test is 71 marks. After 2 students left the class, the average score for the test becomes 70 marks.

What are the total marks of the 2 students who left

Answer: 180


SOLUTION 1 :

Step 1: 71 x 40 = 2840

Step 2: 40 - 2 = 38

Step 3: 70 x 38 = 2660

Step 4: 2840 - 2660 = 180



6)  

The average height of 3 boys is 1.76m.
One more boy whose height is 1.56m joins the group.
What is the average height of the 4 boys

Answer: 1.71m


SOLUTION 1 :

Step 1: Total height for the 3 boys : 1.76 x 3 = 5.28m

Step 2: Total height for the 4 boys : 5.28  + 1.56 = 6.84m

Step 3: Average height of the 4 boys : 6.84 ÷ 4 = 1.71m



7)  

The average number of sweets 3 children have is 18 
When 1 more child joins the group, the average number of sweets they have becomes 25.
What is the number of sweets the last child have

Answer: 46


SOLUTION 1 :

Step 1: 18 x 3 = 54

Step 2: 25 x 4 = 100

Step 3: 100 - 54 = 46



8)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 40kg.
What is the total mass of the 2 girls

Answer: 130kg


SOLUTION 1 :

Step 1: 30 x 5 = 150kg

Step 2: 40 x 7 = 280kg

Step 3: 280 - 150 = 130kg



9)  

The average number of sweets 4 children have is 4.
When 2 more children join the group, the average number of sweets they have becomes 24.
What is the total number of sweets the last 2 children have altogether

Answer: 128


SOLUTION 1 :

Step 1: 4 x 4 = 16

Step 2: 24 x 6 = 144

Step 3: 144 - 16 = 128



10)  

There are 40 students in a class. The average score for a Science Test is 55 marks. After 2 students left the class, the average score for the test becomes 54 marks.

What are the total marks of the 2 students who left

Answer: 148


SOLUTION 1 :

Step 1: 55 x 40 = 2200

Step 2: 40 - 2 = 38

Step 3: 54 x 38 = 2052

Step 4: 2200 - 2052 = 148