Answer:
- <u><em>The standard deviation of the distribution is 1.5ºF.</em></u>
Explanation:
The known 68-95-99.7 rule, the empirical rule, states that, in a normal distribution 68% of the data are within one standard deviation from the mean, 95% of the data are within two standard deviations from the mean, and 99.7% are within three standard deviations:
- 68% ⇒ mean ± 1 standard deviation
- 95% ⇒ mean ± 2 standard deviations
- 99.7% ⇒ mean ± 3 standard deviation.
Hence, for the<em> approximately normal distribution of the daily high temperatures</em>,<em> with mean 86º</em>, and a range of <em>83ºF to 89ºF</em> for <em>95% of the data,</em> you can write:
- 86ºF ± 2 SD ⇒ 86ºF - 2 SD = 83ºF, and
- 86ºF ± 2 SD ⇒ 86ºF + 2SD = 89 ºF
Both equations will lead to the same result:
- 86ºF - 2 SD = 83ºF ⇒ 2 SD = 86ºF - 83ºF = 3ºF
SD = 3ºF / 2 = 1.5ºF
Also:
- 86ºF + 2SD = 89ºF ⇒ 2 SD = 89ºF - 86ºF = 3ºF
SD = 3ºF / 2 = 1.5ºF
Therefore, the standard deviation of the distribution is 1.5ºF.
Answer:The answer is 30
Explanation:I just had this question and got it right
You can earn multiple certificates and trades such as an automotive or mechanics trade would be an example
Running stop signs and lights is an indicator that a driver may be operating their vehicle under the influence of drugs.