Respuesta :
Answer:
68%
Step-by-step explanation:
The Empirical rule formula =
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
mean speed was 48 mph and the standard deviation was 16 mph.
Testing out the first rule in Empirical rule
= 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
μ - σ
= 48 - 16
= 32
μ + σ
= 48 + 16
= 64
From the above use of the empirical rule,we can see that 68% of the data falls in 32mph
And 68% of the data falls in 64 mph
Hence , 68% + 68% /2
= 136%/2
= 68%
Therefore, the approximate percentage of vehicle speeds that were between 32 and 64 mph is 68%
