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AS Stats Quiz #4
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The probability of an event happening and not happening must sum to 1
True – These are complementary events.
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A pilot survey is used to test a full survey before launching it
True – It identifies issues and improves design.
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In systematic sampling, the first item is chosen randomly
True – This ensures randomness in the starting point.
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The third quartile is always larger than the second quartile
True – Q3 > Q2 (the median) by definition.
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A data set with zero variance must contain all distinct values
False – Zero variance means all values are the same.
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All bar chart bars must touch each other
False – In bar charts, bars are separated. touching bars are for histograms.
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A bar chart can be used to represent grouped continuous data
False – Bar charts are for categorical or discrete data, not grouped continuous data.
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In a line graph, the x-axis usually represents time
True – Line graphs often show trends over time.
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The median is affected by extreme values
False – It is resistant to outliers.
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Median and quartiles can be estimated from cumulative frequency graphs
True – You can find them by reading off percentiles.
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When all data values are the same, the standard deviation is 0
True – No variation means zero spread.
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A two-way table displays data for two categorical variables
True – It cross-tabulates two variables.
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The total area under a histogram is equal to the total frequency
True – Area represents frequency, especially with unequal widths.
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In a positively skewed distribution, the mean is greater than the median
True – The long tail pulls the mean to the right.
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The cumulative frequency of the final class equals the total frequency
True – Cumulative frequency sums to the total.
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In statistics, the word “estimate” means an exact calculation
False – An estimate is an approximation based on data.
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The frequency of a class interval must be a whole number
True – Frequency counts how many times something occurs.
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Class intervals should never overlap in a frequency table
True – Overlapping classes cause ambiguity.
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A scatter plot is useful for identifying relationships between two variables
True – It helps visualize correlations and trends.
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A sample is a subset of the population
True – It’s a smaller group used to draw conclusions about the whole.
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The probability of all mutually exclusive outcomes of an experiment sums to 1
True – That’s a fundamental rule of probability.
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The mode can be found for both numerical and categorical data
True – It applies to both.
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Grouped frequency tables lose information about exact values
True – Grouping hides individual data points.
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A stem and leaf diagram shows cumulative frequency
False – It shows individual data points, not accumulation.
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Frequency density is used when class widths vary
True – It corrects for different class sizes.
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If data is measured in hours, converting to minutes increases the standard deviation
True – Units change scales and affect spread.
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A positively skewed distribution has a tail to the right
True – The longer tail extends to higher values.
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Deciles divide data into ten equal parts
True – Deciles split data into ten groups.
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Stratified sampling requires random sampling within each stratum
True – Each subgroup is sampled randomly.
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Primary data is collected firsthand
True – It is original data collected by the researcher.
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