Lesson 2a.10
2a.10 Interpret a distribution of data in terms of skewness identified from inspection or... Quiz: Pearson Edexcel Statistics, Unit 2
20 questions
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Lesson 2a.10, Interpret a distribution of data in terms of skewness identified from inspection or...: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 2: Processing, representing and analysing data, written with Revision Ninja.
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The 20 questions
-
In a positively skewed income distribution, where do most people's incomes lie relative to the mean?
- Above the mean
- At the median
- Below the mean
- Equal to the mean
-
What is the typical characteristic of a negatively skewed age distribution in a care home?
- Even age spread
- Most residents older
- Symmetric distribution
- Most residents younger
-
Test scores are mostly near the top, with a few low scores. Which skew does this suggest?
- Negative skew
- Symmetry
- Positive skew
- Bimodal
-
A house price distribution is positively skewed. Which average best represents a typical house price?
- Range
- Mean
- Median
- Total
-
For data with a long tail to the right, how do the mean and median compare?
- Mean equals median
- Mode exceeds mean
- Mean exceeds median
- Median exceeds mean
-
In a perfectly symmetrical distribution, how do the mean and median compare?
- Median much greater
- Mean much greater
- Unrelated values
- Approximately equal
-
A dataset has a mean of 52 and a median of 48. What does this indicate?
- Negative skew
- Positive skew
- Zero variance
- Symmetry
-
Data with a long tail of high values exhibits which type of skewness?
- Zero skew
- Positive skew
- Symmetrical distribution
- Negative skew
-
Which average is best used to represent a positively skewed wealth distribution with extreme high values?
- median
- mean
- range
- mode
-
A distribution has a long left tail. Which description is most accurate?
- Negatively skewed
- Symmetrical
- Uniformly distributed
- Positively skewed
-
If two data sets have equal means and one is positively skewed, how do their medians compare?
- Median is zero
- Median is lower
- Median is higher
- Medians are equal
-
What skewness is indicated by a histogram with bars that slope down gradually to the right?
- Symmetrical
- Negative skew
- Positive skew
- Zero skew
-
Which feature is most likely in an examination results distribution that is negatively skewed?
- Mean equals mode
- Most scored low
- Scores are uniform
- Most scored high
-
How would you describe a distribution with a skewness value of -2.1?
- Symmetrical
- Negatively skewed
- Bimodal
- Positively skewed
-
If values above the median are more spread out than values below, what type of skew is present?
- Negative skew
- Positive skew
- Zero skew
- No skew
-
What does a positively skewed distribution of journey times imply about some trips?
- No journeys vary
- All journeys equal
- Much shorter journeys
- Much longer journeys
-
What does a mean noticeably less than the median suggest in a roughly symmetric histogram?
- Strong positive skew
- Perfect symmetry
- Data errors
- Slight negative skew
-
Higher tier: a data set has mean 15, median 12 and SD 4.5. Interpret the skew.
- Positive skew of 2
- Positive skew of 0.5
- Negative skew of 2
- Symmetry
-
In a positively skewed distribution, where does the mode lie relative to the mean?
- To the right
- Exactly equal
- To the left
- Above the median
-
What does a negatively skewed test score distribution suggest about the cohort performance?
- Zero variance
- Mostly low scores
- Mostly high scores
- Balanced spread
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