The figures are similar, so the corresponding sides are proportional.
For example, the ratio of BD to HF could be 2:1 meaning BD is twice as long as HF. We could have BD = 10 and HF = 5 for instance.
The other sides would be in the same proportion to keep the figures similar. So another example would be ND/TH = 2/1
Answer:
a) 88.89%
b) 84%
c) 75%
Step-by-step explanation:
We are given the following in the question:
Average price = $3.06 per gallon
Standard deviation = $0.06 per gallon
Chebyshev's Rule:
- According to this rule atleast percent of data lies within k standard deviation of mean.
a) minimum percentage of gasoline stations had prices within 3 standard deviations of the mean
We put k = 3
Thus, minimum 88.89% of gasoline stations had prices within 3 standard deviations of the mean.
b) percentage of gasoline stations had prices within 2.5 standard deviations of the mean
We put k = 2.5
Thus, minimum 84% of gasoline stations had prices within 2.5 standard deviations of the mean.
Range of gasoline price:
c) minimum percentage of gasoline stations that had prices between $2.94 and $3.18
We can express $2.94 and $3.18 as:
We put k = 2
Thus, minimum 75% of gasoline stations had prices between $2.94 and $3.18.
I expanded the value using logarithm rules.
Comment if you need clarification!