Question

Weights of parcels in a transport office are given below. Weight (kg 50 65 75 90 110 120 No of parcels 25 34 38 40 47 16 Find the mean weight of the parcels.​

Answer 1

Given:

Weights of parcels in a transport office are given below. Weight (kg 50 65 75 90 110 120 No of parcels 25 34 38 40 47 16 .

To Find:

Mean weight of the parcels?

Step-by-step explanation:

• Here it is provided weight of parcel is 50,65,75,90,110,120. which we will consider as $x_i$

• And no. of parcels are 25,34,38,40,47,16 which we consider as $f_i$.

       Thus we get

         $x_1=50,x_2=65,x_3=75,x_4=90,x_5=110,x_6=120\\\\and f_1=25,f_2=34,f_3=38,f_4=40,f_5=47,f_6=16$

      $Mean =\sum \frac{x_i f_i}{f_i}=\frac{x_1f_1+x_2f_2+x_3f_3+x_4f_4+x_5f_5+x_6f_6}{f_1+f_2+f_3+f_4+f_5+f_6}$

      $Mean=\frac{1250+2210+2850+3600+5170+1920}{200} \\\\Mean=\frac{17000}{200} =85$

Thus, mean of data is 85.