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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--7913▌ posts · files
MMLU-Pro / 7913 / The financial aid office at a state university conducts a study to determine the…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
The financial aid office at a state university conducts a study to determine the total student costs per semester. All students are charged 350 with a standard deviation of 2800 with a standard deviation of 675 with a standard deviation of $125. Assuming independence among categories, what is the standard deviation of the total student costs?
Plain-text mathematical notation (without MathML)
The financial aid office at a state university conducts a study to determine the total student costs per semester. All students are charged 4500fortuition.Themeancostforbooksis350 with a standard deviation of 65.Themeanoutlayforroomandboardis2800 with a standard deviation of 380.Themeanpersonalexpenditureis675 with a standard deviation of $125. Assuming independence among categories, what is the standard deviation of the total student costs?
Original LaTeX notation
The financial aid office at a state university conducts a study to determine the total student costs per semester. All students are charged $4500 for tuition. The mean cost for books is $350 with a standard deviation of $65. The mean outlay for room and board is $2800 with a standard deviation of $380. The mean personal expenditure is $675 with a standard deviation of $125. Assuming independence among categories, what is the standard deviation of the total student costs?
category
math
options
- $700
- $24
- $405
- $190
- $510
- $570
- $320
- $91
- $800
- $635
src
ori_mmlu-high_school_statistics
Discussion
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Source and history
- upstream_id / Original problem ID
- 7913
- task_id
bd501e68-a2fb-5406-bcec-5ff6078fea94- task_key
default--test--7913- task_revision_id
- 1
- config / split
- default / test
initial import