Lesson 2.02f
2.02f Measures of location and spread: Measures of location and spread (2.02f) Quiz: OCR Maths, Unit 12
20 questions
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Lesson 2.02f, Measures of location and spread: Measures of location and spread (2.02f): 20 multiple choice questions for the OCR Maths (H240), Unit 12: Data Presentation and Interpretation, written with Revision Ninja.
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The 20 questions
-
Which measure of central tendency is the value that occurs most frequently in a dataset?
- Mode
- Median
- Mean
- Variance
-
Which measure of central tendency is sensitive to extreme outliers in a dataset?
- Interquartile range
- Mode
- Mean
- Median
-
What is the formula for calculating the interquartile range of a dataset?
- Q4 - Q0
- Q2 - Q1
- Q3 - Q1
- Q3 - Q2
-
What mathematical relationship connects variance and standard deviation?
- Variance is deviation squared
- They are identical
- Variance is square root
- Deviation is variance squared
-
Standard deviation measures the root mean square deviation from which value?
- Mean
- Median
- Lower quartile
- Mode
-
Why are mean and standard deviation from a grouped frequency table considered estimates?
- Calculators round off
- Data is continuous
- Midpoints are used
- Frequencies are inaccurate
-
Which percentile corresponds to the upper quartile of a continuous distribution?
- 50th percentile
- 25th percentile
- 75th percentile
- 90th percentile
-
Which summary statistic represents the 50th percentile of a ordered data set?
- Mean
- Median
- Range
- Mode
-
Find the median of the following ordered set of data: 3, 5, 8, 11, 15.
- 8.4
- 5
- 11
- 8
-
Calculate the mean of the four numbers: 2, 6, 7, and 15.
- 7.5
- 7.0
- 8.0
- 6.5
-
If the variance of a dataset is 16, what is its standard deviation?
- 8
- 2
- 4
- 256
-
A distribution has lower quartile 12 and upper quartile 28. What is the interquartile range?
- 40
- 14
- 16
- 20
-
What is the midpoint of the class interval 20 <= x < 30?
- 10
- 25
- 24.5
- 20
-
If every value in a dataset is increased by 5, what happens to standard deviation?
- Multiplies by 5
- Stays the same
- Increases by 25
- Increases by 5
-
If every value in a dataset is multiplied by 3, what happens to the variance?
- Multiplied by 9
- Multiplied by 6
- Increases by 3
- Multiplied by 3
-
Which statistical measure is best to compare spread when data contains extreme outliers?
- Interquartile range
- Standard deviation
- Variance
- Range
-
For five numbers sum x is 40 and sum x squared is 370. Find the mean.
- 74
- 16
- 8
- 10
-
For n = 10, sum x = 50, and sum x squared = 290. What is the variance?
- 29
- 16
- 4
- 2
-
Data set A has mean 50, standard deviation 2. Set B has mean 50, standard deviation 8. Which is true?
- Both have equal spread
- Set A is more consistent
- Set A has higher range
- Set B is more consistent
-
For n = 5, sum x = 20, and sum x squared = 100. What is the standard deviation?
- 0
- 2
- 4
- 16
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