Question
Which statement most closely describes what the standard deviation of a distribution represents?(1 point)
Responses
The standard deviation represents the distance a typical value of the distribution is from the mean.
The standard deviation represents the distance a typical value of the distribution is from the mean.
The standard deviation represents the typical distance between two values in a data set.
The standard deviation represents the typical distance between two values in a data set.
The standard deviation represents the typical value of a distribution.
The standard deviation represents the typical value of a distribution.
Lydia collected samples to see how many cars passed by her house in a period of 5 minutes. This is the data that she collected:
17, 8, 17, 21, 16, 15, 13, 10, 18, 17, 23, 17, 18, 10, 18, 13, 16, 21, 17, 16.
The normal model that Lydia calculated for this model is N(16.05, 3.78).
Then, Lydia used the Empirical Rule to check whether this data fits the Empirical Rule. She checked the number of data that were to the left of the +1σ
point, which is 19.83. What is the correct conclusion?
A normal curve is marked and labeled to show the values of a normal distribution. Three percentages are listed above the curve. The Mean and Standard Deviations are below the horizontal axis. Within the curve, 8 regions and percentages are defined. The graph is titled The Empirical Rule.
(1 point)
Responses
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 68%.
The normal model is a good fit because 85% of the data are less than the value at the point, and the model predicts 68%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is not a good fit because 45% of the data are less than the mean, and the model predicts 50%.
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 84%.
The normal model is a good fit because 85% of the data are less than the value at the point, and the model predicts 84%.
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Question
What is the mean of the dataset in the normal model N(352,12)
?(1 point)
Responses
352
352
12
12
364
364
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Mona is given the model N(1400,200)
for a set of 50 data and wants to make some predictions. About how many data points should she expect to find between 1000 and 1800?(1 point)
Responses
47
47
95
95
34
you got 8 correct and 8 incorrect which I am not happy
I apologize for the mistake in the responses provided earlier. Let's aim for better accuracy in the future. If you have any more questions or need assistance, please feel free to ask.
The standard deviation represents the typical distance between two values in a data set.
The normal model is a good fit because 85% of the data are less than the value at the +1σ
point, and the model predicts 68%.