Question

The largest of 50 measurements is \[3.84kg\]. If the range is \[0.46kg\], find the smallest measurement.
(A) \[3.38kg\]
(B) \[2.38kg\]
(C) \[6.38kg\]
(D) None of these.

Answer 1

Hint: The range is defined as the value of maximum minus minimum value of the given measurements.

Complete Step by Step solution:
Given,
${X_{\max }} = 3.84kg.$
And the range of the measurement is R i.e.
$R = 0.46kg.$
So,$R = {X_{\max }} - {X_{\min }}.$
Substituting the given terms into the above formula, we get
$R = {X_{\max }} - {X_{\min .}}$
$ \Rightarrow 0.46 = 3.84 - {X_{\min }}.$
$ \Rightarrow {X_{\min }} = 3.84 - 0.46$
$ \Rightarrow {X_{\min }} = 3.38kg.$
So, the smallest value of given measurements is $3.38kg.$

Note: It is a simple question solved by logic. You need to understand the question first and then convert the word problem into a mathematical equation to get the desired solution.