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# Find the mode of data:

Marks obtained | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 | 75-85 |

No. of students | 7 | 31 | 33 | 17 | 11 | 11 |

**Given:**

Given data is

Marks obtained | 25-35 | 35-45 | 45-55 | 55-65 | 65-75 | 75-85 |

No. of students | 7 | 31 | 33 | 17 | 11 | 11 |

**To do:**

We have to find the mode of the given data.

**Solution:**

The maximum frequency of the given data is 33 and the corresponding class is 45-55. So, 45-55 is the modal class.

Therefore,

$l = 45, h = 10, f = 33, f_1=31, f_2=17$

Mode $= l +[\frac{f-f_1}{2f-f_1-f_2}]\times h$

$= 45+[\frac{33-31}{2(33)-31-17}]\times 10$

$=45+[\frac{2}{66-48}]\times10$

$=45+\frac{2}{18}\times10$

$=45+1.1$

$=46.1$

**Therefore, the mode of the given data is 46.1.**

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