Explore Chapter 3 - Summarising Numerical Data, focusing on the application of statistical methods like mean calculation, normal distribution, and standard deviation. This quiz assesses understanding of statistical concepts in real-world contexts.
11
14
17
18
26
I don't know
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0.10
0.25
0.45
0.60
0.90
I don't know
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Within one Standard Deviation of the mean
Within two Standard Deviations of the mean
Within three Standard Deviations of the mean
More than one Standard Deviation above the mean
More than two Standard Deviations below the mean
I don't know
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-15
-6
-2.5
2.5
15
I don't know
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Heights
Age at leaving school
Weights
Place of residence
Time spent on leisure activities
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Within one Standard Deviation of the mean
Within two Standard Deviations of the mean
Within three Standard Deviations of the mean
More than one Standard Deviation above the mean
More than two Standard Deviations below the mean
I don't know
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60
64
66
67.5
70
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–2.5
–1.75
0
1.75
2.5
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The average
The middle value
The central value
The most common value
The middle 50% of values
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16
17
18
19
20
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Salary
Thigh length
Years of schooling
School type
Number of hours worked each week
I don't know
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0.42
0.44
0.46
0.48
0.50
I don't know
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Within one Standard Deviation of the mean
Within two Standard Deviations of the mean
Within two Standard Deviations of the mean
More than one Standard Deviation above the mean
More than two Standard Deviations below the mean
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16%
32%
50%
68%
95%
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When the distribution is negatively skewed
When the distribution is positively skewed
When the distribution is symmetric
When the distribution is symmetric with outliers
Always
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16%
32%
50%
68%
95%
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3
6
12
128
250
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Within one Standard Deviation of the mean
Within two Standard Deviations of the mean
Within three Standard Deviations of the mean
More than one Standard Deviation above the mean
More than two Standard Deviations above the mean
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16%
32%
50%
68%
95%
I don't know
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0.03%
50%
68%
95%
99.7%
I don't know
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2.5%
16%
32%
95%
97.5%
I don't know
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2.1
2.7
3.5
3.8
3.9
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82
128
175
215
250
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Cassie’s score in Further Maths is close to the average score for that subject.
Cassie’s score in English placed her in the top 2.5% of students sitting the test.
Cassie’s score in Psychology placed her in the bottom 16% of students sitting the test.
Cassie scored above average in all subjects.
More than half the class had a higher mark in Biology than Cassie.
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Within one Standard Deviation of the mean
Within two Standard Deviations of the mean
Within three Standard Deviations of the mean
More than three Standard Deviations above or below the mean
More than two Standard Deviations above or below the mean
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Less than the median
Approximately equal to the median
Greater than the median
Less than $1000
Less than $10 000
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3
8
15
30
80
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Within one Standard Deviation of the mean
Within two Standard Deviations of the mean
Within three Standard Deviations of the mean
More than one Standard Deviation above or below the mean
More than two Standard Deviations above or below the mean
I don't know
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2.5
2.75
3.0
5.5
11.0
I don't know
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