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Questions and Answers
What is the calculation for the mean given that the total is 139.9 and the number of values is 17?
What is the calculation for the mean given that the total is 139.9 and the number of values is 17?
- 7.9
- 8.5
- 9.9
- 8.23 (correct)
Which of the following represents the mode in the provided dataset?
Which of the following represents the mode in the provided dataset?
- 9.1
- 8.9 (correct)
- 75
- 7.0
What is the standard deviation based on the variance of 0.581?
What is the standard deviation based on the variance of 0.581?
- 0.89
- 1.2
- 1.5
- 0.76 (correct)
What is the value of P25 given the data provided and using the formula P25 = 75 + 0.75 * (85 - 75)?
What is the value of P25 given the data provided and using the formula P25 = 75 + 0.75 * (85 - 75)?
What is the z-score for a value of 214 mg/dL, given a mean of 182 and a standard deviation of 44.2?
What is the z-score for a value of 214 mg/dL, given a mean of 182 and a standard deviation of 44.2?
Flashcards
Mean
Mean
The average of a set of numbers. Calculated by summing all values and dividing by the number of values.
Median
Median
The middle value in a sorted dataset. Half the data points are above it, half are below.
Mode
Mode
The most frequent value in a dataset. It's the value that appears the most times.
Range
Range
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Standard Deviation
Standard Deviation
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Study Notes
Data Analysis and Statistics
- Mean: 8.23 for a data set of 17 values
- Median: 9 for the same data set
- Mode: 8.9 for the same data set
- Range: 2.1 (calculated as 9.1 - 7.0)
- Variance: 0.581
- Standard Deviation: 0.76 (calculated from the variance)
- Mean: 6630, 112 for different data sets
Calculating Z-Scores
- Formula: z = (X - μ) / σ (where X is the value, μ is the mean, and σ is the standard deviation)
- Example Calculation (for Z-score for 214mg/dL):
- z = (214 - 182) / 32 = 102/32 = 0.72 (rounded)
- Calculation Showing Negative Z-Score: z= (102) / (-1.58)= -1.58
- Another calculation: 214mg/dL, with mean 182mg/dL and standard deviation= 32 = (214-182)/32 =102/32 = 3.10
Weighted Average
- Three weights and the associated scores determine Alan's final course grade -Tests: weighted 4x15% -Alan's scores: 80, 78, 92, 84 -Term paper: weighted 20% - score: 84 -Final exam: weighted 20% -score: 88
- Formula: (Tests total x 0.15) + (Term paper x 0.20) + (Final exam x 0.20)
- Weighted average: 84.5
- Alan's final course grade was calculated based on the above weights and scores.
Percentiles and Quartiles
- P25 (25th percentile) calculation: 75 + 0.75 * (85 - 75) = 82.5
- D5 (Median): 75
- D9 (90th percentile) calculation:116 + 0.9 * (132 - 116) = 129.8
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