#### Question

The marks obtained by 30 students in a class assignment of 5 marks are given below.

Marks |
0 |
1 |
2 |
3 |
4 |
5 |

No. ofStudents |
1 | 3 | 6 | 10 | 5 | 5 |

Calculate the mean, median and mode of the above distribution

#### Solution

Marks (x) | 0 | 1 | 2 | 3 | 4 | 5 | Total |

No. of Students (f) | 1 | 3 | 6 | 10 | 5 | 5 | n = 30 |

fx | 0 | 3 | 12 | 30 | 20 | 25 | `sum fx = 90` |

c.f | 1 | 4 | 10 | 20 | 25 | 30 |

Mean = `(sum fx)/n = 90/30 = 3`

Number of observations 30 (even)

∴ Median = `((n/2)^"th" "observation" + (n/2 + 1)^"th" "observation" )/2`

`= ((30/2)^"th" "observation" + (30/2 + 1)^"th" "observation")/2`

`= (15th "observation" + 16 th "observation")/2`

`= (3 + 3)/2`

= 3

Mode = The number (marks) with highest frequency = 3

Is there an error in this question or solution?

#### APPEARS IN

Solution The Marks Obtained by 30 Students in a Class Assignment of 5 Marks Are Given Below. Calculate the Mean, Median and Mode of the Above Distribution Concept: Median of Grouped Data.