Revision (Grade 12 NSC Matric Mathematics): Quizzes

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What is the formula for calculating the mean of a data set?

xˉ=∑xin\bar{x} = \frac{\sum x_i}{n}

How do you find the median when you have an even number of data values?

Average the two middle values

How is the range of a data set calculated?

Maximum value - Minimum value

Why is the inter-quartile range less affected by outliers than the range?

It focuses on middle 50% & ignores extremes

What is the relationship between standard deviation and variance?

Standard deviation is the square root

What are the five values in a five number summary, in order?

Min, Q1Q_1, Median, Q3Q_3, Max

In a box plot, what does the rectangular box represent?

Middle 50% of data from Q1Q_1 to Q3Q_3

In a normal distribution, what % of data falls within 2 standard deviations of the mean?

95%

In a positively skewed distribution, how does the mean compare to the median?

Mean is greater than median

What characterizes a negatively skewed distribution?

Mean < median, tail extends left

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