Question

find the average of 16/3 . 7/2. 9/2. 4/1​

Answer 1

Given: The rational numbers$\frac{16}{3},\frac{7}{2} ,\frac{9}{2},\frac{4}{1} .$

We have to find the average of the given numbers$\frac{16}{3},\frac{7}{2} ,\frac{9}{2},\frac{4}{1} .$

For this, we will add all the given numbers, and then we will divide the total by$4.$

Then we will get the average number of the given values.

We are solving in the following way:

We have$\frac{16}{3},\frac{7}{2} ,\frac{9}{2},\frac{4}{1} .$

Now,

$=>\frac{16}{3} +\frac{7}{2} +\frac{9}{2} +\frac{4}{1} \\\\=>\frac{52}{3}$

Then,

$=>\frac{52}{3} \times \frac{1}{4} \\\\=>\frac{13}{3} \\\\=>4.33$

We get Average$=4.33$

Hence, the average of the given values will be$\frac{13}{3} or 4.33$.

Answer 2

To find : average of   $\frac{16}{3} ,\frac{7}{2} ,\frac{9}{2}, \frac{4}{1}$

Given data :  $\frac{16}{3} ,\frac{7}{2} ,\frac{9}{2}, \frac{4}{1}$

Solution :

• To find average of given data wee have formula :

       Average =   sum of observations

                          total number of observations

• to find sum of given observations we  need to equalize denominators by taking LCM.

• LCM = $6$
• Now by multiplying the numerators by the same numbers as multiplied by denominator to make LCM
• We get,   $\frac{32}{6}, \frac{21}{6}, \frac{27}{6}, \frac{24}{6}$
• sum of observations = $\frac{32 + 21+ 27 + 24}{6}$

                                           $= \frac{104}{6}$

                                           $= 84$

• Number of observations = $4$

• Average   $= \frac{84}{4}$

                         $= 21$

     Hence , average of given data is 21.