Question

The lowest value of a group of observation is 52.4 the coefficient of range is 0.2 find the highest value in the groip

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Lowest value of observation is 52.4}$

$\textsf{and coefficient of range is 0.2}$

$\underline{\textsf{To find:}}$

$\textsf{Highest value in the group}$

$\underline{\textsf{Solution:}}$

$\textsf{We know that,}$

$\boxed{\mathsf{Coefficient\;of\;range=\dfrac{a-b}{a+b}}}$

$\mathsf{where\;a\;is\;the\;highest\;value}$

$\mathsf{and\;b\;is\;the\;lowest\;value}$

$\mathsf{Coefficient\;of\;range=\dfrac{a-b}{a+b}}$

$\implies\mathsf{0.2=\dfrac{a-52.4}{a+52.4}}$

$\implies\mathsf{\dfrac{2}{10}=\dfrac{a-52.4}{a+52.4}}$

$\implies\mathsf{2(a+52.4)=10(a-52.4)}$

$\implies\mathsf{2a+104.8=10a-524}$

$\implies\mathsf{524+104.8=10a-2a}$

$\implies\mathsf{628.8=8a}$

$\implies\mathsf{a=\dfrac{628.8}{8}}$

$\implies\boxed{\mathsf{a=78.6}}$

$\underline{\textsf{Answer:}}$

$\textsf{Highest value in the group is 78.6}$

$\underline{\textsf{Find more:}}$

What is the range of data 36,35,50,46,60,55​

https://brainly.in/question/25147897

If the minimum value in a set is 9 and its range is 67. Then the maximum value in the set is _____.

https://brainly.in/question/29527529