Question

Kavita obtained 16, 14, 18 and 20 marks (out of 25) in Maths in weekly tests in the month of Jan 2000, then mean marks of Kavita is:
A. 16
B. 16.5
C. 17
D. 17.5

Answer 1

Hint: To find the mean marks of Kavita, we will add all the marks obtained by Kavita in weekly tests. Then we will divide the summation of all the marks by the number of data. The mean represents the average value of the given marks.

Complete step-by-step answer:
The mean value can be expressed as:
\[{\rm{Mean}} = \dfrac{{{\rm{Sum of all the values}}}}{{{\rm{Number of data values}}}}\]

The marks are given in the question for the four weeks in a month. The marks are given as :
16, 14, 18 and 20
To find the mean value we will have to find the summation of all the marks. This can be expressed as:
$\begin{array}{c}
\Rightarrow {\rm{Sum of all the marks}} = 16 + 14 + 18 + 20\\
 = 68
\end{array}$
We know that the mean value of all the marks obtained in four weekly tests can be expressed as:
$\Rightarrow {\rm{Mean}} = \dfrac{{{\rm{Sum of all the marks}}}}{{{\rm{Number of weekly test}}}}$
We will substitute 68 for the sum of all the marks in the above expression. We will get:
$\begin{array}{l}
\Rightarrow {\rm{Mean}} = \dfrac{{68}}{4}\\
\Rightarrow {\rm{Mean}} = 17
\end{array}$
The mean value of the mark is 17.

Note: The central tendency is a value that describes a group of data by finding its central position in the given range only. There are three ways to find the central tendency of the given data, i.e., mean, median and mode. We can use any of the methods to find the central tendency. The average value of any given data can be found by finding its mean. Mean is defined as the ratio of the summation of all the data to the number of data given in the question.