5. If the range and coefficient of range of the data are 20 and 0.2 respectively, then fin
the largest and smallest values of the data.
Answers
Answer:
Step-by-step explanation:
Let largest value of data be L
and smallest value of data be S.
We are given that the range and coefficient of range of the data are 20 and 0.2 respectively.
Range formula is given by = Largest value - Smallest value
20 = L - S
L = 20 + S ---------- [Equation 1]
Coefficient of range formula = (Largest - Smallest) ÷ (Largest + Smallest)
0.2 = l-s/l+s
0.2 = 20/l+s
L + S = 20/0.2 = 100
So, L + S = 100
20 + S + S = 100 {using equation 1}
2*S = 80
S = 80/2 = 40
Putting value of S in equation 1, we get L = 20 + 40 = 60
Therefore, Largest value, L = 60
smallest value, S = 40
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