Concepts
Examples

**Properties of Averages**

Average of N things/quantities is equal to the sum of all the things/quantities divided by number of things/quantities.

Average of N number of things/quantities always lies between the lowest and the highest quantities.

If each quantity is increased by a certain value K, then the new average is increased by K.

If each quantity is decreased by a certain value K, then the new average is decreased by K.

If each quantity is multiplied by a certain value K, then the new average becomes K times the the original average.

If each quantity is divided by a certain value K, then the new average becomes

times the the original average.

**Question 1**Average number of chocolates with 10 children is 5. If a person distributes all 20 chocolates he has to the children then what is the average number of chocolates with the children.

7 | 8 |

9 | 10 |

**Question 2**The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42, then find the average for the last four matches.

35 | 36 |

35.25 | 36.25 |

**Question 3**Average of a class of 50 students is 50 kg. If 2 guys of average weight 45 leaves the class. What is the new average of the class.

50 | 50.21 |

51.2 | 55.2 |

**Question 4**The number of sweets in a box is 15. If the shop keeper

^{rd's}the number of sweets in each box, then what will be the new average of number of sweets in the box.

5 | 15 |

98 | 10 |

**Question 5**If the average weight of a family of 5 people is 42 kg and one member gets married and add to the family. Weight of this member is 48 kg. What will be the new average weight of the family.

42 | 43 |

44 | 45 |

**Question 6**The number of sweets in a box is 15. If the shop keeper triples the number of sweets in each box, then what will be the new average of number of sweets in the box.

3 | 15 |

45 | 55 |

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