Questions and Answers
What does cleaning data involve?
Converting trace values to numbers (tr=0).
What is the assumption involved when using class midpoints to calculate an estimate of a mean from a grouped frequency table?
Assumes that the values are uniformly distributed in each class.
What issue is indicated regarding the values in LDS for rainfall?
The values aren't uniformly distributed in the first class width.
The mean is affected by: - + ÷ ×; the SD is affected only by: _____
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Justify the use of a histogram to represent data.
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What is the underlying feature associated with each of the bars of a histogram?
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What is the formula for Frequency?
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What is the interpolation formula?
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What does accepting or rejecting Ho depend on?
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Study Notes
Data Cleaning
- Cleaning data involves converting trace values to numerical values, specifically setting trace values to zero (tr=0).
Class Midpoints
- Using class midpoints to estimate the mean from a grouped frequency table assumes uniform distribution of values within each class.
Rainfall Distribution
- The Local Data Set (LDS) shows many values for rainfall as zero or trace, indicating that data is not uniformly distributed in the first class width.
Coding Effects
- The mean is influenced by operations such as addition, subtraction, division, and multiplication.
- Standard deviation (SD) is influenced only by division and multiplication.
Histogram Justification
- A histogram is appropriate for representing data because the data in question is continuous.
Histogram Features
- In a histogram, the area of each bar represents frequency, indicating the magnitude of data within ranges.
Frequency Calculation
- Frequency can be calculated using the formula: Frequency = Frequency Density (FD) × Class Width (CW).
Interpolation
- The interpolation formula is given by: LB + ((range/frequency) × extra), where LB is the lower bound.
Hypothesis Testing
- For hypothesis testing, if the p-value is greater than the significance level, the null hypothesis (Ho) is accepted.
- If the p-value is less than the significance level, the null hypothesis is rejected.
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Prepare for your AS Statistics exam with these flashcards focusing on key concepts such as cleaning data and class midpoints. Each card presents a term alongside its definition to help reinforce your understanding. Perfect for quick review and memorization before the exam.