Central Tendency in Grouped Data

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Mean, median, and mode in grouped data basics.

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Bhelanie May O. De Guzman

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Central Tendency in Grouped Data


Central Tendency in Grouped DataVersión en línea Mean, median, and mode in grouped data basics. por Bhelanie May O. De Guzman 1 Which measure uses class midpoints and frequencies to estimate the mean in grouped data? a Mode b Mean c Range d Median 2 What is the formula for the mean of grouped data? a Largest value ÷ smallest value b Sum of (midpoint × frequency) ÷ total frequency c Total frequency ÷ sum of midpoints d Sum of midpoints ÷ number of classes 3 How is the median of grouped data typically found? a Locate the class where the cumulative frequency reaches N/2 b Take the average of the first and last class midpoints c Use the highest frequency class only d Use the mode of the class marks 4 In a grouped data distribution, the mode is usually found in which class? a Class with the smallest frequency b Last class c Class with the highest frequency d First class 5 Which statement about the mean of grouped data is true? a It uses class midpoints and frequencies to approximate the average b It is always exact c It ignores class widths d It cannot be computed for grouped data 6 What is the impact of unequal class widths on the mean of grouped data? a Only high-frequency classes count b Midpoints are weighted by frequency and width; accurate calculation requires width consideration c Mean equals the median in such cases d Widths do not affect the mean 7 Which of the following is a common estimator for the median in grouped data? a L + (N/2) × h b L × h / (N/2) c L + (CF_prev × f_class) / N d L + [(N/2 − CF_prev)/f_class] × h 8 If class width is h and lower class boundary is L, what does f represent in grouped data formulas? a Frequency of the median class b Total frequency c Cumulative frequency d Midpoint of the class 9 Which measure is most affected by outliers in grouped data? a Range b Mean c Mode d Median 10 Which is true about the mode in grouped data? a It equals the median in all distributions b It identifies the class with the highest frequency c It cannot be estimated from grouped data d It is always equal to the mean

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Central Tendency in Grouped Data

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Central Tendency in Grouped DataVersión en línea

por Bhelanie May O. De Guzman

Which measure uses class midpoints and frequencies to estimate the mean in grouped data?

What is the formula for the mean of grouped data?

How is the median of grouped data typically found?

In a grouped data distribution, the mode is usually found in which class?

Which statement about the mean of grouped data is true?

What is the impact of unequal class widths on the mean of grouped data?

Which of the following is a common estimator for the median in grouped data?

If class width is h and lower class boundary is L, what does f represent in grouped data formulas?

Which measure is most affected by outliers in grouped data?

Which is true about the mode in grouped data?