Aptitude Discussion

Q. |
Which one of the following numbers can be removed from the set $S$ = {0, 2, 4, 5, 9} without changing the average of set $S$? |

✖ A. |
0 |

✖ B. |
2 |

✔ C. |
4 |

✖ D. |
5 |

**Solution:**

Option(**C**) is correct

The average of the elements in the original set $S$ is:

\(\dfrac{0+2+4+5+9}{5}=4\)

If we remove an element that equals the average, then the average of the new set will remain unchanged. The new set after removing 4 is {0, 2, 5, 9}.

The average of the elements is:

\(\dfrac{0+2+5+9}{4}=4\)

**Agha**

*()
*

What happens when the average is not equal to any element?