Question

Following are the marks obtained by 20 students in a slip test for 5 marks. Find the ratio of mode and highest mark obtained in the class. Marks obtained No. of Students
0
1
2
3
4
5 2
2
4
6
5
1

Answer 1

Ratio of mode and highest mark obtained in the class is 3 : 5.

Step-by-step explanation:

We are given the marks obtained by 20 students in a slip test for 5 marks below;

        Marks obtained                              No. of students  

                    0                                                         2

                    1                                                          2

                    2                                                         4

                    3                                                         6

                    4                                                         5

                    5                                                        1          

                                                                       Total = 20  

Now, we have to find the ratio of mode and highest mark obtained in the class.

Mode : Mode tells us the value that appears maximum number of times in our data. So after seeing our data we can observe that the maximum number of students with a respective marks is 6 which means that the marks which the maximum number of students in the slip test got is 3.

So, mode of the data is 3 marks.

Further, Highest marks obtained in the class is 5 as 1 student got the full marks in the test.

Hence, Required ratio =  $\frac{\text{Mode}}{\text{Highest mark obtained in the class}}$

                                      =  $\frac{3}{5}$ = 3 : 5

Therefore, the ratio of mode and highest mark obtained in the class is 3 : 5.