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Flash Cards: Connecting the Dots

Structured practice

Connecting the Dots - Flash Cards

These flash cards cover important concepts from Connecting the Dots in Ganita Prakash II for Class 7 (Mathematics).

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What is a statistical statement?

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A statistical statement is a claim or summary about a phenomenon expressed in numerical values, proportions, or predictions.

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2/20

Define a statistical question.

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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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3/20

What does 'average' refer to in statistics?

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3/20

Average refers to the arithmetic mean, calculated as the sum of all data values divided by the number of values.

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4/20

How do you calculate the mean?

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Mean = Sum of all values / Number of values.

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What is a representative value?

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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.

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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?

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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?

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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.

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If Shubman scores {0, 17, 21, 90}, his average = (0 + 17 + 21 + 90) / 4 = 32.

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What is statistical thinking?

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Statistical thinking involves making inferences or predictions based on data and observed trends.

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What is the significance of data visualization?

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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?

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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?

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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.

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When no outliers exist, the mean and median are often very close to each other.

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Calculate the mean for the following guavas collected: 3, 8, 10, 5, 4.

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Mean = (3 + 8 + 10 + 5 + 4) / 5 = 6.

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How can data vary?

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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?

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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.

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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?

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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?

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The purpose is to convey insights from data that can inform decisions, predictions, or assessments.