Extracting Information from Data - AP Computer Science Principles
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What type of chart is best for showing parts of a whole?
What type of chart is best for showing parts of a whole?
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Pie chart. Displays proportions as sections of a complete circle.
Pie chart. Displays proportions as sections of a complete circle.
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Find the mode of the data set 10, 10, 20, 30, 30.
Find the mode of the data set 10, 10, 20, 30, 30.
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Modes are 10 and 30. Values 10 and 30 each appear twice, tied for most frequent.
Modes are 10 and 30. Values 10 and 30 each appear twice, tied for most frequent.
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Identify the outlier in the data set 1, 2, 3, 100, 5.
Identify the outlier in the data set 1, 2, 3, 100, 5.
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The outlier is 100. Value 100 is extremely different from the other small values.
The outlier is 100. Value 100 is extremely different from the other small values.
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What statistical measure is used to describe the center of a data set?
What statistical measure is used to describe the center of a data set?
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Mean. Represents the typical or average value of the data set.
Mean. Represents the typical or average value of the data set.
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What measure describes the amount of variation in a data set?
What measure describes the amount of variation in a data set?
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Standard deviation. Measures how spread out the data points are from the mean.
Standard deviation. Measures how spread out the data points are from the mean.
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What statistical measure represents the most frequent data point?
What statistical measure represents the most frequent data point?
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Mode. Identifies the value that occurs with the highest frequency.
Mode. Identifies the value that occurs with the highest frequency.
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Identify the range of the data set 1, 5, 9, 13, 17.
Identify the range of the data set 1, 5, 9, 13, 17.
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The range is 16. Maximum minus minimum: $17 - 1 = 16$.
The range is 16. Maximum minus minimum: $17 - 1 = 16$.
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Which central tendency measure is not affected by extreme values?
Which central tendency measure is not affected by extreme values?
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Median. Position-based measure unaffected by outliers or extreme values.
Median. Position-based measure unaffected by outliers or extreme values.
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Calculate the median of the data set 2, 4, 6, 8.
Calculate the median of the data set 2, 4, 6, 8.
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The median is 5. Average of the two middle values: $(4+6)/2 = 5$.
The median is 5. Average of the two middle values: $(4+6)/2 = 5$.
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What does the interquartile range (IQR) measure?
What does the interquartile range (IQR) measure?
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Spread of the middle 50% of data. Distance between the first and third quartiles of the data.
Spread of the middle 50% of data. Distance between the first and third quartiles of the data.
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What does a histogram display?
What does a histogram display?
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Frequency distribution of a data set. Shows how often each value or interval occurs in the data.
Frequency distribution of a data set. Shows how often each value or interval occurs in the data.
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Identify the mode of the data set 7, 8, 8, 9, 10.
Identify the mode of the data set 7, 8, 8, 9, 10.
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The mode is 8. The value 8 appears twice, more than any other value.
The mode is 8. The value 8 appears twice, more than any other value.
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What is the standard deviation a measure of?
What is the standard deviation a measure of?
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It measures data spread from the mean. Quantifies how much individual values deviate from the average.
It measures data spread from the mean. Quantifies how much individual values deviate from the average.
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What is the formula for calculating the mean?
What is the formula for calculating the mean?
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$\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}}$. Add all data values and divide by the total number of values.
$\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}}$. Add all data values and divide by the total number of values.
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Calculate the range of the data set 5, 10, 15, 20.
Calculate the range of the data set 5, 10, 15, 20.
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The range is 15. Difference between maximum and minimum: $20 - 5 = 15$.
The range is 15. Difference between maximum and minimum: $20 - 5 = 15$.
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Which measure of central tendency is most affected by outliers?
Which measure of central tendency is most affected by outliers?
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Mean. Outliers heavily influence the mean since it uses all values in calculation.
Mean. Outliers heavily influence the mean since it uses all values in calculation.
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What is the mode of the data set 1, 2, 2, 3, 4?
What is the mode of the data set 1, 2, 2, 3, 4?
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The mode is 2. The value that appears most frequently in the data set.
The mode is 2. The value that appears most frequently in the data set.
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What graphical representation uses bars to show frequency?
What graphical representation uses bars to show frequency?
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Bar graph. Uses rectangular bars with heights representing data frequencies.
Bar graph. Uses rectangular bars with heights representing data frequencies.
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Calculate the median of the data set 5, 7, 9, 11, 13.
Calculate the median of the data set 5, 7, 9, 11, 13.
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The median is 9. The middle value when the five numbers are in order.
The median is 9. The middle value when the five numbers are in order.
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Identify the median of the data set 2, 4, 6, 8, 10.
Identify the median of the data set 2, 4, 6, 8, 10.
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The median is 6. The middle value when data is ordered from least to greatest.
The median is 6. The middle value when data is ordered from least to greatest.
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What is the mean of the data set 3, 5, 7, 9, 11?
What is the mean of the data set 3, 5, 7, 9, 11?
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The mean is 7. Sum all values and divide by count: $(3+5+7+9+11)/5 = 35/5 = 7$.
The mean is 7. Sum all values and divide by count: $(3+5+7+9+11)/5 = 35/5 = 7$.
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Calculate the mode of the data set 5, 5, 7, 9, 9.
Calculate the mode of the data set 5, 5, 7, 9, 9.
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Modes are 5 and 9. Both values 5 and 9 appear twice, tied for highest frequency.
Modes are 5 and 9. Both values 5 and 9 appear twice, tied for highest frequency.
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What is the formula for the interquartile range (IQR)?
What is the formula for the interquartile range (IQR)?
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$\text{IQR} = Q_3 - Q_1$. Difference between the third quartile and first quartile values.
$\text{IQR} = Q_3 - Q_1$. Difference between the third quartile and first quartile values.
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Find the mean of the data set 10, 20, 30, 40.
Find the mean of the data set 10, 20, 30, 40.
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The mean is 25. Sum all values and divide by count: $(10+20+30+40)/4 = 25$.
The mean is 25. Sum all values and divide by count: $(10+20+30+40)/4 = 25$.
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What is the purpose of a bar graph?
What is the purpose of a bar graph?
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To compare quantities across categories. Uses bar heights to compare values across different categories.
To compare quantities across categories. Uses bar heights to compare values across different categories.
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Which term describes a graphical representation of a frequency distribution?
Which term describes a graphical representation of a frequency distribution?
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Histogram. Bar chart showing the frequency of data values or intervals.
Histogram. Bar chart showing the frequency of data values or intervals.
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Identify the median of the data set 1, 3, 5, 7, 9.
Identify the median of the data set 1, 3, 5, 7, 9.
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The median is 5. The middle value when five numbers are arranged in order.
The median is 5. The middle value when five numbers are arranged in order.
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Calculate the range of the data set 5, 10, 15, 20.
Calculate the range of the data set 5, 10, 15, 20.
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The range is 15. Difference between maximum and minimum: $20 - 5 = 15$.
The range is 15. Difference between maximum and minimum: $20 - 5 = 15$.
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Find the range of the data set 4, 8, 12, 16, 20.
Find the range of the data set 4, 8, 12, 16, 20.
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The range is 16. Maximum minus minimum: $20 - 4 = 16$.
The range is 16. Maximum minus minimum: $20 - 4 = 16$.
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Find the mean of the data set 10, 20, 30, 40.
Find the mean of the data set 10, 20, 30, 40.
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The mean is 25. Sum all values and divide by count: $(10+20+30+40)/4 = 25$.
The mean is 25. Sum all values and divide by count: $(10+20+30+40)/4 = 25$.
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