Connecting the Dots - Flash Cards
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What is a statistical statement?
A statistical statement is a claim or summary about a phenomenon expressed in numerical values, proportions, or predictions.
How well did you know this?
2/20
Define a statistical question.
A statistical question is one that can be answered by collecting data, like asking about the heights or preferences within a group.
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What does 'average' refer to in statistics?
Average refers to the arithmetic mean, calculated as the sum of all data values divided by the number of values.
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How do you calculate the mean?
Mean = Sum of all values / Number of values.
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What is a representative value?
Representative value summarizes a set of data with a single number like the average, which balances out highs and lows.
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Explain what an outlier is.
An outlier is a value that significantly differs from the other values in a dataset, which can affect the mean.
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How is the median calculated?
To find the median, sort the data and identify the middle value. For even sets, average the two middle values.
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When might the median be a better representative than the mean?
The median is better when a dataset has outliers, as it is less affected by extreme values.
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Example of how to find an average.
If Shubman scores {0, 17, 21, 90}, his average = (0 + 17 + 21 + 90) / 4 = 32.
10/20
What is statistical thinking?
Statistical thinking involves making inferences or predictions based on data and observed trends.
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What is the significance of data visualization?
Data visualization, like dot plots, helps to see patterns, variability, and compare data effectively.
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What do you understand by 'fair-share' in terms of average?
Average represents how much each person would get if a total was shared equally among members of a group.
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Why compare averages from different datasets?
Comparing averages helps assess performance, trends, or patterns across different groups or time periods.
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Define the relationship between mean and median when no outliers exist.
When no outliers exist, the mean and median are often very close to each other.
15/20
Calculate the mean for the following guavas collected: 3, 8, 10, 5, 4.
Mean = (3 + 8 + 10 + 5 + 4) / 5 = 6.
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How can data vary?
Data can vary in shape, spread, and center, which are important to analyze for accurate interpretations.
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Why do averages matter in various disciplines?
Averages are widely used to summarize data in fields like economics, biology, and sports, facilitating better understanding.
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Example of different average values from data.
Wheat yield averages 4.7 tonnes in one area vs. 2.9 in another, illustrating how averages reflect regional differences.
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What could influence the pricing of products like onions?
Factors like seasonality, supply, demand, and location influence the prices of products such as onions.
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What is the purpose of statistical statements?
The purpose is to convey insights from data that can inform decisions, predictions, or assessments.
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