Question

The highest value in a set of observations is 43.5 and coefficient of range is 0.2. Find the lowest value in the set of observations.

Answer 1

Step-by-step explanation:

The given numbers are 59,46,30,23,27,40,52,35,29.

⇒ Here, the largest value =x

m

=59 and the smallest value =x

0

=23.

⇒ Range=x

m

−x

0

=59−23

=36

⇒ Coefficientofrange=

x

m

+x

0

x

m

−x

0

=

59+23

59−23

=

82

36

=0.44

Answer 2

Answer:

The lowest value measured in the set of observations is $29$.

Step-by-step explanation:

Data given,

The highest value in a set of observations, H = $43.5$

Coefficient of range = $0.2$

To find:

The lowest value in the set of observations, L =?

As we know,

• The coefficient of range determines the distribution of data.
• It is the difference between the highest and the lowest values of data.

The equation for the coefficient of the range is given below:

• Coefficient of range = $\frac{H - L}{H + L}$

After putting the given values in the equation, we get:

• $0.2 = \frac{43.5 - L}{43.5 + L}$
• $0.2 ( 43.5 + L ) = 43.5 - L$
• $8.7 + 0.2L = 43.5 - L$
• $1.2L = 34.8$
• L = $29$

Hence, the lowest value in the set of observations, L = $29.$