Question

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

Answer 1

Answer:

The answer is 85 Kg.

Step-by-step explanation:

weight (xi)          No(fi)             xifi

50                        25              1250

65                        34               2210

75                        38               2850

90                        40               3600

110                      47               5170

120                      16               1920

                         --------           -----------

                           200               17000

Mean weight =  Σxifi/ Σfi

                    = 17000/200

                    = 85 Kg

Thus the value of mean weigh  is 85 Kg.

Answer 2

Answer:  

The Mean weight of the parcel is 85 kg.

Solution:  

Given Data:  

Given the frequency distribution table for ungrouped data:

Step 1:

We have:

The distribution table has been made and that is attached below:

Step 2:

25 numbers of parcels have weight each 50 kg

34 numbers of parcels have weight each 65 kg  

Step 3:

And so on,

This also implies that,

Total weight of 25 parcels = 1250

Total weight of 34 parcels = 2210

Step 4:

And so on…..

Mean of such un grouped data is given by.

Mean = Total sum of all the parcels/Total number of parcels

Step 5:

Result:

Mean =$\frac{170000}{200}$

Mean = 85

Thus, the mean weight of the parcel is 85 kg.