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Flash Cards: Tales by Dots and Lines

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Tales by Dots and Lines - Flash Cards

These flash cards cover important concepts from Tales by Dots and Lines in Ganita Prakash Part II for Class 8 (Mathematics).

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What is the mean?

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The mean is the average of a set of values, calculated by dividing the sum of all values by the number of values.

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2/19

What is the median?

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The median is the middle value of a data set when arranged in ascending order.

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3/19

How do you calculate the mean?

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3/19

To calculate the mean, add all values together and divide by the number of values.

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4/19

What is the mean of 3 and 7?

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The mean of 3 and 7 is (3 + 7) / 2 = 5.

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What happens to the mean when a new greater value is added?

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If a new value greater than the current mean is added, the mean increases.

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What is the relation between mean and distances?

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The mean is positioned such that the total distances of values below and above it are equal.

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What happens to the mean if every value increases by 10?

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The mean also increases by 10.

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What happens to the mean when a value equal to it is removed?

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Removing a value equal to the mean does not change the mean.

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How does the median change when a higher value is added?

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If a value greater than the median is added, the median can increase.

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How do you calculate mean with frequencies?

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Multiply each value by its frequency, sum these products, and divide by the total frequency.

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How can you find a missing value using mean?

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Set up the equation: (sum of known values + missing value) / total number of values = mean.

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Calculate the mean of 42, 40, 39, 33.

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The mean is (42 + 40 + 39 + 33) / 4 = 38.5.

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What happens to the mean when a value lower than it is added?

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When a value lower than the mean is added, the mean decreases.

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How do you find the median from frequency data?

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Add frequencies sequentially until you find the value at the median position.

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What happens if all values are doubled?

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The mean also doubles if all values in the set are doubled.

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What does 'central tendency' refer to?

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Central tendency refers to the measure that represents the center or typical value of a dataset.

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Can there be more than one center in data?

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No, there is only one center (mean) in the data as distances to values are balanced.

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How do the mean and median differ?

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The mean considers all data values, while the median is only concerned with middle values.

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What is a common mistake when calculating mean?

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A common mistake is not accounting for all values or their frequencies.