Question

The mid-value of \[20 - 30\] is _______
(A) \[23\]
(B) \[22\]
(C) \[25\]
(D) \[26\]

Answer 1

Hint: In this question, we have to find out the correct option from the given particulars.
We need to first consider the definition of mid-values of class then using the formula of mid-value we can calculate it for the given particular and choose the correct one which is appropriate.

Formula used: The formula to find the mid-value \[ = \dfrac{{\left( {{\text{Upper limit + Lower limit}}} \right)}}{2}\]

Complete step by step solution:
We need to choose the correct option which is the mid-value of \[20 - 30\].
Mid-value is the average value of the upper and lower limits of class.
Mid-value \[ = \dfrac{{\left( {{\text{Upper limit + Lower limit}}} \right)}}{2}\]
Here,
The upper limit is \[30\].
The lower limit is \[20\].
By using the formula for mid-value we get,
Mid-value \[20 - 30\]\[ = \dfrac{{\left( {{\text{Upper limit + Lower limit}}} \right)}}{2}\]
\[ \Rightarrow \dfrac{{30 + 20}}{2}\]
Simplifying we get,
\[ \Rightarrow \dfrac{{50}}{2} = 25\]
Hence we get, the mid-value of \[20 - 30\] is \[25\].

$\therefore $ Option (C) is the correct option.

Note: In colloquial language, an average is a single number taken as representative of a list of numbers. Different concepts of average are used in different contexts. Often "average" refers to the arithmetic mean, the sum of the numbers divided by how many numbers are being averaged. In statistics, mean, median, and mode are all known as measures of central tendency, and in colloquial usage any of these might be called an average value.
Average of two numbers a and b is given by, \[\dfrac{{a + b}}{2}\]