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 46kg.
What is the total mass of the 2 girls

kg


Answer:_______________




2)  

There are 40 students in a class. The average score for a Science Test is 50 marks. After 2 students left the class, the average score for the test becomes 49 marks.

What are the total marks of the 2 students who left


Answer:_______________




3)  

The average number of sweets 4 children have is 16.
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:_______________




4)  

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 30.
What is the number of sweets the last child have


Answer:_______________




5)  

The average height of 3 boys is 1.68m.
One more boy whose height is 1.48m joins the group.
What is the average height of the 4 boys

___m


Answer:_______________




6)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 42kg.
What is the total mass of the 2 girls

kg


Answer:_______________




7)  

There are 40 students in a class. The average score for a Science Test is 59 marks. After 2 students left the class, the average score for the test becomes 58 marks.

What are the total marks of the 2 students who left


Answer:_______________




8)  

The average number of sweets 4 children have is 8.
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:_______________




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 20.
What is the number of sweets the last child have


Answer:_______________




10)  

The average height of 3 boys is 1.80m.
One more boy whose height is 1.36m joins the group.
What is the average height of the 4 boys

___m


Answer:_______________




 

1)  

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



2)  

There are 40 students in a class. The average score for a Science Test is 50 marks. After 2 students left the class, the average score for the test becomes 49 marks.

What are the total marks of the 2 students who left

Answer: 138


SOLUTION 1 :

Step 1: 50 x 40 = 2000

Step 2: 40 - 2 = 38

Step 3: 49 x 38 = 1862

Step 4: 2000 - 1862 = 138



3)  

The average number of sweets 4 children have is 16.
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: 80


SOLUTION 1 :

Step 1: 16 x 4 = 64

Step 2: 24 x 6 = 144

Step 3: 144 - 64 = 80



4)  

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 30.
What is the number of sweets the last child have

Answer: 66


SOLUTION 1 :

Step 1: 18 x 3 = 54

Step 2: 30 x 4 = 120

Step 3: 120 - 54 = 66



5)  

The average height of 3 boys is 1.68m.
One more boy whose height is 1.48m joins the group.
What is the average height of the 4 boys

Answer: 1.63m


SOLUTION 1 :

Step 1: Total height for the 3 boys : 1.68 x 3 = 5.04m

Step 2: Total height for the 4 boys : 5.04  + 1.48 = 6.52m

Step 3: Average height of the 4 boys : 6.52 ÷ 4 = 1.63m



6)  

The average mass of 5 girls is 30kg 
When 2 more girls join the group, the average becomes 42kg.
What is the total mass of the 2 girls

Answer: 144kg


SOLUTION 1 :

Step 1: 30 x 5 = 150kg

Step 2: 42 x 7 = 294kg

Step 3: 294 - 150 = 144kg



7)  

There are 40 students in a class. The average score for a Science Test is 59 marks. After 2 students left the class, the average score for the test becomes 58 marks.

What are the total marks of the 2 students who left

Answer: 156


SOLUTION 1 :

Step 1: 59 x 40 = 2360

Step 2: 40 - 2 = 38

Step 3: 58 x 38 = 2204

Step 4: 2360 - 2204 = 156



8)  

The average number of sweets 4 children have is 8.
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: 148


SOLUTION 1 :

Step 1: 8 x 4 = 32

Step 2: 30 x 6 = 180

Step 3: 180 - 32 = 148



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 20.
What is the number of sweets the last child have

Answer: 35


SOLUTION 1 :

Step 1: 15 x 3 = 45

Step 2: 20 x 4 = 80

Step 3: 80 - 45 = 35



10)  

The average height of 3 boys is 1.80m.
One more boy whose height is 1.36m joins the group.
What is the average height of the 4 boys

Answer: 1.69m


SOLUTION 1 :

Step 1: Total height for the 3 boys : 1.80 x 3 = 5.4m

Step 2: Total height for the 4 boys : 5.4  + 1.36 = 6.76m

Step 3: Average height of the 4 boys : 6.76 ÷ 4 = 1.69m