Question

Mode of following data is 11, then find 'a'.
xi 2 5 8 3a+2 | 15
f i 4 7 10 13 8
​

Answer 1

The value of a is 3

Step-by-step explanation:

Given the data      

                 x (value)                f(frequency)

                     2                               4

                     5                                7

                     8                                10

                    3a+2                          13

                     15                               8

We know mode is the value which has maximum frequency

here maximum frequency is 13

corresponding to maximum frequency value is 3a+2 .

so mode is 3a+2.

Given mode of the following data is 11

so 3a+2=11

or 3a=11-2

or 3a=9

or a=3

so the value of a is 3

Answer 2

Given: Mode of following data is $11$

           $x_{i}\ 2\ 5\ 8\ 3a+2\ 15$

           $f_{i}\ 4\ 7\ 10\ 13\ 8$

To Find: What is the value of $a$.

Step-by-step explanation:

We know,

The mode value is which will have maximum frequency.

Here, The maximum frequency value is $13$.

Corresponding to maximum mode frequency value is $(3a+2)$

But Here given the mode value is $11$.

So,

    $3a+2=11$

 ⇒$3a=11-2$

 ⇒$3a=9$

 ⇒$a=\frac{9}{3}$

 ∴ $a=3$

So, The value of $a$ is $3$.