Dataset 1 has mean
Dataset 2 has mean
Consider the following statement: If
Is this statement correct? Explain your answer. (2 marks)
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Standard Deviation, SM-Bank 003
In a small business, the seven employees earn the following wages per week:
- Calculate the standard deviation for this set of data, giving your answer to one decimal place. (1 mark)
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- Each employee receives a $20 pay increase.
Explain the effect that this increase will this have on the standard deviation? (2 marks)
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Standard Deviation, SM-Bank 001
The ages of nine students were recorded in the table below.
- What is the standard deviation, correct to two decimal places? (2 marks)
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- Briefly explain what is meant by the term standard deviation. (1 mark)
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Statistics, STD1 S1 2020 HSC 24
- The ages in years, of ten people at the local cinema last Saturday afternoon are shown.
- The mean of this dataset is 47.1 years.
- How many of the ten people were aged between the mean age and the median age? (2 marks)
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- On Wednesday, ten people all aged 70 went to this same cinema.
- Would the standard deviation of the age dataset from Wednesday be larger than, smaller than or equal to the standard deviation of the age dataset given in part (a)? Briefly explain your answer without performing any calculations. (2 marks)
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Statistics, STD2 S3 2017 HSC 29d*
All the students in a class of 30 did a test.
The marks, out of 10, are shown in the dot plot.
- Find the median test mark. (1 mark)
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- The mean test mark is 5.4. The standard deviation of the test marks is 4.22.
- Using the dot plot, calculate the percentage of the marks which lie within one standard deviation of the mean. (2 marks)
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