Power failure time | 22 | 23 | 24 | 25 | 26 | 27 | 28 | Total |

Frequency | 2 | 5 | 7 | 10 | 4 | 3 | 2 | 33 |

Find Q_{3}, D_{2} and P_{40} and interpret the results.

This answer is restricted. Please login to view the answer of this question.

Login NowSolution:

x | f | cf |

22 | 2 | 2 |

23 | 5 | 7 |

24 | 7 | 14 |

25 | 10 | 24 |

26 | 4 | 28 |

27 | 3 | 31 |

28 | 2 | 33 |

N = 33 |

Solution For Q_{3}:

Now, Q_{3} class = \(3 \left ( \frac{N+1}{4} \right )^{th} item\)

= \(\left ( \frac{3 \enspace \times \enspace 34}{4} \right )^{th}\) = 25.5^{th}

In cf column, the value just greater than 25.5

It mean 3/4 or 75% of power failure time has value less than or equal to 26.

Solution For D_{2}:

Now, D_{2} class = \(2 \left ( \frac{N+1}{10} \right )^{th} item\)

= \(\left ( \frac{2 \enspace \times \enspace 34}{10} \right )^{th}\) = 6.8^{th}

In cf, the value just greater than 6.8 is 7. so, D_{2} = 23

Solution For P_{40}:

Now, P_{40} class = \(40 \left ( \frac{N+1}{100} \right )^{th} item\)

= \(\left ( \frac{40 \enspace \times \enspace 34}{100} \right )^{th}\) = 13.6^{th}

In cf, the value just greater than 13.6 is 14. so, P_{40} = 24

It means 40% of power failure time has value less than or equal to 24.

If you found any type of error on the answer then please mention on the comment or report an answer or submit your new answer.

Click here to submit your answer.

HAMROCSIT.COM

## Discussion