Asked by Gaurav Maheswari on Jul 16, 2024

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On average,Caryl's school bus arrives on time,although sometimes it is a bit early or late.If the arrival times are distributed on a normal curve,which of the following statistics would enable Caryl to estimate the probability that her bus will arrive within 5 minutes of its scheduled arrival time on any given day?

A) median
B) mean
C) standard deviation
D) correlation coefficient

Normal Curve

A symmetrical, bell-shaped curve that represents the distribution of many types of data where most scores fall near the mean, with fewer and fewer near the extremes.

Standard Deviation

Standard deviation is a statistical measure that quantifies the dispersion or variability of a set of data points relative to their mean, indicating how spread out the data points are.

Scheduled Arrival Time

The pre-determined time at which a vehicle, such as an airplane or a bus, is expected to arrive at its designated stop or destination.

  • Understand the features of a normal distribution and its importance in statistical studies.
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LS
lamiya sanchezJul 17, 2024
Final Answer :
C
Explanation :
The standard deviation in a normal distribution measures the dispersion or variability around the mean, indicating how spread out the values are. Knowing the standard deviation allows one to estimate the probability of a value (in this case, the bus's arrival time) falling within a certain range around the mean (the scheduled arrival time).