Question

find the mode of the scores of following data class interval 1-3,3-5,5-7,7-9,9-11 frequency 6,9,2,2,1​

Answer 1

Answer:

3-5

Step-by-step explanation:

as it has the most frequency

Answer 2

Step-by-step explanation:

From the data,

We have,

Interval                     Frequency

1 - 3                             6

3 - 5                            9

5 - 7                            2

7 - 9                            2

9 - 11                            1

As we know that,

The class having most number of frequency is called as Modal class.

As we have formula for determining the modes,

$Mode =l+\left(\frac{f_{1}-f_{0}}{2 f_{1}-f_{0}-f_{2}}\right)$

Where,

l = class size = 3

$f_o=frequency\:of\:class\:preceding\:modal\:class\\f_1= frequency\:of\:modal\:class\\f_2 =frequency\:of\:class\:after\:modal\:class$

So, from above, we have.

$f_0=9\\f_1=6\\f_2=2$

Now putting in above formula,

We will get,

$Mode \:=3+[ \frac{9-6}{(2\times 9)-6-2}]\\\rightarrow Mode\:=3+\frac{3}{18-8}\\\rightarrow Mode\: 3+\frac{3}{10} = 3.3$

Answer:

Hence, the value of Mode of the given data is 3.3