Answer :
The approximate percentage of lightbulb replacement requests numbering between 35 and 62 would be approximately the same as the percentage within one standard deviation of the mean, which is 68%.
Here, we have,
To determine the approximate percentage of lightbulb replacement requests numbering between 35 and 62, we can utilize the 68-95-99.7 rule, also known as the empirical rule or the three-sigma rule.
According to this rule:
Approximately 68% of the data falls within one standard deviation of the mean.
Approximately 95% of the data falls within two standard deviations of the mean.
Approximately 99.7% of the data falls within three standard deviations of the mean.
Given that,
the mean is 62 and the standard deviation is 9, we can calculate the range within one standard deviation of the mean:
Lower Limit = Mean - Standard Deviation = 62 - 9 = 53
Upper Limit = Mean + Standard Deviation = 62 + 9 = 71
The range within one standard deviation of the mean is from 53 to 71.
Since 35 falls below the lower limit of one standard deviation, we can assume it lies beyond the range of interest in this case.
Therefore, the approximate percentage of lightbulb replacement requests numbering between 35 and 62 would be approximately the same as the percentage within one standard deviation of the mean, which is 68%.
Hence, the approximate percentage is 68.
Learn more about standard deviation here:
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