Lesson 4.2.3.2.2
4.2.3.2.2 Measures of central tendency and dispersion Quiz: AQA Psychology, Unit 2
20 questions
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Lesson 4.2.3.2.2, Measures of central tendency and dispersion: 20 multiple choice questions for the AQA Psychology (7182), Unit 2: Psychology in context, written with Revision Ninja.
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The 20 questions
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The mean is calculated by:
- Adding all the values together and dividing by the number of values
- Finding the middle value when the data are placed in order from smallest to largest
- Finding the most frequently occurring value in the set of scores collected
- Subtracting the lowest value from the highest value to find the spread
-
The median is:
- The average of all the scores, found by adding them and dividing by how many there are
- The middle value when the scores are arranged in order
- The most frequently occurring score in the set, which can be found by counting
- The difference between the highest and lowest scores, which shows the overall spread
-
The mode is:
- The most frequently occurring value in a data set
- The average of all the values, found by summing the set and dividing by n
- The middle value in an ordered set of scores, found by position counting
- The spread of the data around the mean, measured as a standard deviation
-
The range is calculated as:
- The middle value of the ordered data, found by counting from either end
- The sum of all values divided by the number of values in the set
- The most common value in the data set, found by counting the frequencies
- The highest value minus the lowest value
-
The mean is affected by outliers because:
- Every value contributes to its calculation, so an extreme value pulls it towards itself
- Outliers are excluded from the calculation of the mean, so they have no effect on it
- Outliers change the number of values in the data set, which alters the divisor used
- The mean is always the same as the median, so the outlier cannot change it at all
-
The median is preferred to the mean when:
- The data are skewed or contain outliers that would distort the mean
- The data are perfectly normally distributed, with the mean and median always matching
- The data are nominal and have no order, so they cannot be placed in a middle position
- The researcher wants a value that uses every score in the calculation of the typical value
-
The mode is most appropriate for which level of measurement?
- Interval data with a true zero point on the scale used for measurement
- Continuous data with equal intervals across the whole range of values
- Nominal data, such as categories of eye colour
- Ordinal data with a fixed scale of ranks and positions in a race
-
What is the mean of the scores 2, 4, 4, 6 and 9?
- 7
- 6
- 4
- 5
-
What is the median of the scores 10, 3, 8, 15 and 7?
- 8
- 7
- 15
- 10
-
What is the mode of the scores 1, 2, 2, 3, 3, 3 and 4?
- 3
- 2
- 1
- 4
-
What is the range of the scores 12, 18, 7, 25 and 10?
- 7
- 25
- 18
- 15
-
What is the mean of the scores 3, 5, 7, 7, 8, 10 and 12, to two decimal places?
- 7.43
- 7.71
- 7.00
- 8.00
-
What is the mean of the scores 12, 15, 18 and 21?
- 17.75
- 16.5
- 18.25
- 16.25
-
A researcher has five scores with a mean of 50. Four of the scores sum to 180. What is the fifth score?
- 80
- 70
- 90
- 50
-
What is the median of the eight values 1, 3, 5, 7, 9, 11, 13 and 15?
- 7
- 10
- 9
- 8
-
A researcher has a data set in which the highest score is replaced by a much larger value. Which measure would change most?
- The mean
- The mode
- The median and the mode equally
- The median
-
Two groups have the same mean but very different ranges. What does this tell us?
- The range is always the same as the mean, so the two measures are interchangeable
- The two groups must have identical individual scores, so the spread should match too
- The data are therefore not valid, since groups with different ranges cannot be compared
- The scores are spread differently, so the mean alone does not describe the data fully
-
A researcher reports reaction times of several participants, and one time is very slow due to a lapse of attention. Which measure of central tendency is most suitable to report?
- The mean, because it includes every time equally, so the slow time is fairly weighed
- The mode, because it is always unaffected by extreme values in the data set
- The range, because it describes the spread of the reaction times across participants
- The median, because it is less affected by the extreme slow time
-
Why can the range be misleading as a measure of spread?
- It can only be used with nominal data, because the highest and lowest are category labels
- It uses every score in its calculation, so it reflects all the data that were collected
- It depends on only two scores, so one extreme value can make the spread look large
- It is always the same as the standard deviation, so it adds nothing extra to the report
-
Five scores are 4, 9, 2, 9 and 6. What is the mode?
- 4
- 6
- 2
- 9
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