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MMMU-Pro / test_Computer_Science_77 / You have a 1-D dataset large {x^{(1)}, ... , x^{(m)} } and you want to…

Problem

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question

You have a 1-D dataset $\large \{x^{(1)}, ... , x^{(m)} \}$ and you want to detect outliers in the dataset. You first plot the dataset and it looks like this:<image 1>Suppose you fit the gaussian distribution parameters $\large \mu_1$ and $\large \sigma_1^2$ to this dataset.Which of the following values for $\large \mu_1$ and $\large \sigma_1^2$ might you get?
Plain-text mathematical notation (without MathML)
You have a 1-D dataset $\large \{x^{(1)}, ... , x^{(m)} \}$ and you want to detect outliers in the dataset. You first plot the dataset and it looks like this:<image 1>Suppose you fit the gaussian distribution parameters $\large \mu_1$ and $\large \sigma_1^2$ to this dataset.Which of the following values for $\large \mu_1$ and $\large \sigma_1^2$ might you get?
Original LaTeX notation
You have a 1-D dataset $\large \{x^{(1)}, ... , x^{(m)} \}$ and you want to detect outliers in the dataset. You first plot the dataset and it looks like this:<image 1>Suppose you fit the gaussian distribution parameters $\large \mu_1$ and $\large \sigma_1^2$ to this dataset.Which of the following values for $\large \mu_1$ and $\large \sigma_1^2$ might you get?

img type

  • Plots and Charts

options

  1. $\large \mu_1= -8, \large \sigma_1^2= 2$
  2. $\large \mu_1= -6, \large \sigma_1^2= 2$
  3. $\large \mu_1= -3, \large \sigma_1^2= 2$
  4. $\large \mu_1= -1, \large \sigma_1^2= 6$
  5. $\large \mathbf{\mu_1=} -3, \large \mathbf{\sigma_1^2=} 4$
  6. $\large \mu_1= -6, \large \sigma_1^2= 4$
  7. $\large \mu_1= -5, \large \sigma_1^2= 3$
  8. $\large \mu_1= -4, \large \sigma_1^2= 3$
  9. $\large \mu_1= -7, \large \sigma_1^2= 1$
  10. $\large \mu_1= -2, \large \sigma_1^2= 5$

subject

Computer_Science
image_1.png

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Source and history

upstream_id / Original problem ID
test_Computer_Science_77
task_id
11b69d50-87a7-57ca-a3dc-b33bcaa37e3b
task_key
standard~20~2810~20options~29--test--test~5fComputer~5fScience~5f77
task_revision_id
4
config / split
standard (10 options) / test

Official source

initial import