Study

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