The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days
sketch a normal curve that represents this distribution label the mean and 3 standard deviations
1 answer:
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation
Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320
The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).
μ = 500 days, the population mean
σ = 60 days, the population standard deviation
Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320
The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).
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Answer:
<h2>The box plot is the only display that can be used to show the variability of the data.</h2><h2>The median appears clearly on the box plot at the line within the box: 10.</h2>Step-by-step explanation:
When we want to represent variability, we use a box plot instead of a dot plot, because the box plot allow us to observe the range of the data set, that is, the minium and the maximum value.
Remember that variability is about the spread of the dataset, and the range is a measure that can give a pretty good idea of it, shown by a box plot.
Therefore, the last hoice is correct.
On the other hand, according to the dot plot, the median is 10, because there are 13 total values, where the central value is 10.
Therefore, the second choice is correct.
