Correct Answer - Option 1 : 38

**Concept:**

**Mean of the classed Data:**

\(\rm Mean =\dfrac{ \sum\limits_{i=1}^{i=n}f_i\overline x_i}{\sum\limits_{i=1}^{i=n}f_i}\), where n is the total number of class and f and x̅ are the frequency and mean of the class

**Calculation:**

Marks |
Middle Value |
Frequency |

0 - 10 |
5 |
12 |

10 - 20 |
15 |
18 |

20 - 30 |
25 |
27 |

30 - 40 |
35 |
20 |

40 - 50 |
45 |
17 |

50 - 60 |
55 |
60 |

Mean = \(\dfrac{5\times12+15\times18+25\times27+35\times20+45\times17+55\times60}{12+18+27+20+17+60}\)

Mean = \(5770\over154\) = 37.467 ≈ 38