Which statements best describe the dot plot or box plot? Check all that apply
1 answer:
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.
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Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So
has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.