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Study the given data and answer the question that follows. ​Weight (Kg)No. of Students21−23123−25225−27327−29229−311\begin{array}{|c|c
Question

Study the given data and answer the question that follows.
Weight (Kg)No. of Students2123123252252732729229311\begin{array}{|c|c|}\hline\textbf{Weight (Kg)} & \textbf{No. of Students} \\\hline21-23 & 1 \\23-25 & 2 \\25-27 & 3 \\27-29 & 2 \\29-31 & 1 \\\hline\end{array}​​
What is the average weight of the students?

A.

28kg

B.

24kg

C.

26kg

D.

22kg

Correct option is C

FORMULA USED :

Average = Sum of ValuesNumber of Values\frac{Sum \ of \ Values}{Number \ of \ Values}​​
Solution:
Table with the calculation: 

Weight Range (Kg)Midpoint (Kg)No. of StudentsTotal Weight (Kg)212322122232524248252726378272928256293130130Total9234\begin{array}{|c|c|c|c|}\hline\textbf{Weight Range (Kg)} & \textbf{Midpoint (Kg)} & \textbf{No. of Students} & \textbf{Total Weight (Kg)} \\\hline21-23 & 22 & 1 & 22 \\23-25 & 24 & 2 & 48 \\25-27 & 26 & 3 & 78 \\27-29 & 28 & 2 & 56 \\29-31 & 30 & 1 & 30 \\\hline\textbf{Total} & & 9 & 234 \\\hline\end{array}​​
Now, we can calculate the average weight:
Average weight = Total weightTotal number of students\frac{Total\ weight} {Total \ number \ of \ students}​ = 2349\frac{234} 9​ = 26 kg
Therefore, the average weight of the students is
26 kg. ​​​​

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