Data & Statistics

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What is the definition of median in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

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How do you find the mode of a data set?

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The mode is the value that appears most frequently in a data set. A data set may have one mode, more than one mode, or no mode at all.

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CCSS.6.SP.B.5C

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What does it mean for a data set to be symmetric?

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A symmetric data set is one where the left and right sides of the distribution are mirror images of each other, indicating that the mean, median, and mode are all equal.

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How is the range of a data set calculated?

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The range is calculated by subtracting the smallest value in the data set from the largest value.

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What is a dot plot and how is it used?

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A dot plot is a simple visual representation of data where each data point is represented by a dot above a number line. It is used to show the frequency of data points.

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What is the difference between mean and median?

Back

The mean is the average of all values in a data set, while the median is the middle value when the data is ordered. The mean can be affected by outliers, whereas the median is more robust.

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What is a histogram and how does it differ from a bar graph?

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A histogram is a graphical representation of the distribution of numerical data, using bars to show the frequency of data within certain ranges (bins). Unlike a bar graph, the bars in a histogram touch each other.

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What is the significance of outliers in a data set?

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Outliers are values that are significantly higher or lower than the rest of the data. They can skew the results and affect measures like the mean and standard deviation.

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How do you interpret a box plot?

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A box plot displays the distribution of a data set based on five summary statistics: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum. It helps identify the spread and skewness of the data.

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Front

What is the purpose of calculating standard deviation?

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Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates more spread out values.