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 mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 44kg.
What is the total mass of the 2 girls

kg


Answer:_______________




2)  

The average height of 3 boys is 1.36m.
One more boy whose height is 1.32m joins the group.
What is the average height of the 4 boys

___m


Answer:_______________




3)  

There are 40 students in a class. The average score for a Science Test is 51 marks. After 2 students left the class, the average score for the test becomes 50 marks.

What are the total marks of the 2 students who left


Answer:_______________




4)  

The average number of sweets 3 children have is 15 
When 1 more child joins the group, the average number of sweets they have becomes 30.
What is the number of sweets the last child have


Answer:_______________




5)  

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 30.
What is the total number of sweets the last 2 children have altogether


Answer:_______________




6)  

The average mass of 5 girls is 35kg 
When 2 more girls join the group, the average becomes 42kg.
What is the total mass of the 2 girls

kg


Answer:_______________




7)  

The average height of 3 boys is 1.72m.
One more boy whose height is 1.52m joins the group.
What is the average height of the 4 boys

___m


Answer:_______________




8)  

There are 40 students in a class. The average score for a Science Test is 56 marks. After 2 students left the class, the average score for the test becomes 55 marks.

What are the total marks of the 2 students who left


Answer:_______________




9)  

The average number of sweets 3 children have is 15 
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:_______________




10)  

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:_______________




 

1)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 44kg.
What is the total mass of the 2 girls

Answer: 158kg


SOLUTION 1 :

Step 1: 30 x 5 = 150kg

Step 2: 44 x 7 = 308kg

Step 3: 308 - 150 = 158kg



2)  

The average height of 3 boys is 1.36m.
One more boy whose height is 1.32m joins the group.
What is the average height of the 4 boys

Answer: 1.35m


SOLUTION 1 :

Step 1: Total height for the 3 boys : 1.36 x 3 = 4.08m

Step 2: Total height for the 4 boys : 4.08  + 1.32 = 5.4m

Step 3: Average height of the 4 boys : 5.4 ÷ 4 = 1.35m



3)  

There are 40 students in a class. The average score for a Science Test is 51 marks. After 2 students left the class, the average score for the test becomes 50 marks.

What are the total marks of the 2 students who left

Answer: 140


SOLUTION 1 :

Step 1: 51 x 40 = 2040

Step 2: 40 - 2 = 38

Step 3: 50 x 38 = 1900

Step 4: 2040 - 1900 = 140



4)  

The average number of sweets 3 children have is 15 
When 1 more child joins the group, the average number of sweets they have becomes 30.
What is the number of sweets the last child have

Answer: 75


SOLUTION 1 :

Step 1: 15 x 3 = 45

Step 2: 30 x 4 = 120

Step 3: 120 - 45 = 75



5)  

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 30.
What is the total number of sweets the last 2 children have altogether

Answer: 132


SOLUTION 1 :

Step 1: 12 x 4 = 48

Step 2: 30 x 6 = 180

Step 3: 180 - 48 = 132



6)  

The average mass of 5 girls is 35kg 
When 2 more girls join the group, the average becomes 42kg.
What is the total mass of the 2 girls

Answer: 119kg


SOLUTION 1 :

Step 1: 35 x 5 = 175kg

Step 2: 42 x 7 = 294kg

Step 3: 294 - 175 = 119kg



7)  

The average height of 3 boys is 1.72m.
One more boy whose height is 1.52m joins the group.
What is the average height of the 4 boys

Answer: 1.67m


SOLUTION 1 :

Step 1: Total height for the 3 boys : 1.72 x 3 = 5.16m

Step 2: Total height for the 4 boys : 5.16  + 1.52 = 6.68m

Step 3: Average height of the 4 boys : 6.68 ÷ 4 = 1.67m



8)  

There are 40 students in a class. The average score for a Science Test is 56 marks. After 2 students left the class, the average score for the test becomes 55 marks.

What are the total marks of the 2 students who left

Answer: 150


SOLUTION 1 :

Step 1: 56 x 40 = 2240

Step 2: 40 - 2 = 38

Step 3: 55 x 38 = 2090

Step 4: 2240 - 2090 = 150



9)  

The average number of sweets 3 children have is 15 
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: 55


SOLUTION 1 :

Step 1: 15 x 3 = 45

Step 2: 25 x 4 = 100

Step 3: 100 - 45 = 55



10)  

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