An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Compare the standard deviations of the four fish types.
Identify the smallest standard deviation: 1.97 .
The smallest standard deviation corresponds to Blue Marlin.
Therefore, the data set with the smallest spread is Bl u e M a r l in .
Explanation
Analyze the problem and data We are given the standard deviations for four types of fish: Blackfin Tuna (2.61), Sailfish (4.61), Blue Marlin (1.97), and King Mackerel (6.67). The spread of a data set is measured by its standard deviation. The smaller the standard deviation, the smaller the spread.
Compare standard deviations We need to compare the standard deviations to find the smallest one. Comparing the values, we have:
Blackfin Tuna: S D = 2.61 Sailfish: S D = 4.61 Blue Marlin: S D = 1.97 King Mackerel: S D = 6.67
The smallest standard deviation is 1.97, which corresponds to Blue Marlin.
Identify the data set with the smallest spread Therefore, the data set with the smallest spread is Blue Marlin.
Final Answer The data set with the smallest spread is Blue Marlin.
Examples
Understanding the spread of data is useful in many real-world scenarios. For example, in quality control, a smaller standard deviation in the measurements of a product indicates higher consistency and quality. In finance, the standard deviation of stock returns is used to measure the volatility or risk associated with the stock. Similarly, in weather forecasting, a smaller standard deviation in temperature predictions indicates more reliable forecasts. In this case, the fishery can use the standard deviation of fish weights to understand the consistency of fish sizes in their catches.
The number of electrons that flow through an electric device delivering a current of 15.0 A for 30 seconds is approximately 2.81 × 1 0 21 . This is calculated based on the relationship between current, charge, and the charge of a single electron. By multiplying the current by time and dividing by the charge of an electron, we arrive at this number.
;
