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Number of cars |
Frequency |

0-10 |
7 |

10-20 |
14 |

20-30 |
13 |

30-40 |
12 |

40-50 |
20 |

50-60 |
11 |

60-70 |
15 |

70-80 |
8 |

Answer :

The class 40-50 has the maximum frequency, therefore, this is the modal class.

Here l = 40, h =10, f_{1} = 20, f_{0} = 12 and f_{2} = 11

Now, let us substitute these values in the formula

Mode \( = \ l \ + \ ( \frac{f_1 \ - \ f_0}{2f_1 \ - \ f_0 \ - \ f_2}) \ × \ h \)

\(= \ 40 \ + \ ( \frac{20 \ - \ 12}{40 \ - \ 12 \ - \ 11}) \ × \ 10 \)

\( = \ 40 \ + \ \frac{8}{17} \ × \ 10 \)

\( = \ 40+4.7 \ = \ 44.7 \)

∴ Mode = 44.7 cars

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