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Measure of Spread and Centre - Year 8 Quiz

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Quiz on spread and centre

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Measure of Spread and Centre - Year 8 Quiz
 

Measure of Spread and Centre - Year 8 QuizOnline version

Quiz on spread and centre

by Thirtha
1

What is the mean of the data set 2, 4, 6?

2

Which measure of spread is most affected by outliers?

3

Find the median of 5, 7, 7, 8, 9, 9, 9, 10.

4

What does the interquartile range (IQR) represent?

5

Data: 1, 2, 2, 3, 3, 3, 4. What is the mode?

6

In a positively skewed distribution, which measure tends to be larger?

7

How do you calculate the range of 3, 7, 2, 9?

8

Which percentile is marked by Q1 in a box plot?

9

Which statement best describes standard deviation?

10

In a box plot, what do the ends of the whiskers represent?

Feedback

The mean is the sum (12) divided by the count (3) = 4.

Range uses the extreme values, so outliers change it a lot.

With 8 values, the median is the average of the 4th and 5th values: (8 and 9) → 8.5; but since 8 is between, discrete data gives 8 as central value for this set.

IQR = Q3 − Q1, measures the middle spread of the data.

The most frequent value is 3 (appears three times).

Outliers on the high end pull the mean above the median.

Range is max minus min value.

Q1 corresponds to the 25th percentile.

SD describes spread around the mean, not central position.

Whiskers extend to the smallest and largest data points (within whisker rules).

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