Answer:
(a) 68%
(b) 0.3%
(c) 2.5%
Step-by-step explanation:
<u>Data</u>
- standard deviation (sd) = 17
(a) mean - sd = 100 - 17 = 83
mean + sd = 100 + 17 = 117
The 68–95–99.7 rule states that 68% of the values are within mean ± 1 sd
(b) mean - 3*sd = 100 - 3*17 = 49
mean + 3*sd = 100 + 3*17 = 151
The 68–95–99.7 rule states that 100% - 99.7% = 0.3% of the values are beyond mean ± 3 sd
(c) mean + 2*sd = 100 + 2*17 = 134
The 68–95–99.7 rule states that 95% of the values are within mean ± 2 sd , this means that 5/2 = 2.5% of the values are below mean - 2 sd, and 2.5% are above mean + 2 sd