#### Question

The distribution given below shows the marks obtained by 25 students in an aptitude test. Find the mean, median and mode of the distribution.

Marks obtained | 5 | 6 | 7 | 8 | 9 | 10 |

No. of students | 3 | 9 | 6 | 4 | 2 | 1 |

#### Solution

Marks Obtained (x) |
No. of Students (f) |
c.f |
fx |

5 | 3 | 3 | 15 |

6 | 9 | 12 | 54 |

7 | 6 | 18 | 42 |

8 | 4 | 22 | 32 |

9 | 2 | 24 | 18 |

10 | 1 | 25 | 10 |

`sumf = 25` | `sum fx = 171` |

Mean barX = `(sum fx)/(sumf) = 171/25 = 6.84`

Median = `(25 + 1)/2` th term = 13 th term = 7

Since the number 6 has maximum frequency 9

∴ Mode = 6

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#### APPEARS IN

Solution The Distribution Given Below Shows the Marks Obtained by 25 Students in an Aptitude Test. Find the Mean, Median and Mode of the Distribution. Concept: Measures of Central Tendency - Mean, Median, Mode for Raw and Arrayed Data.