Practice Measures of spread with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.
Why is the standard deviation often preferred over the variance for reporting the spread of data in a final conclusion?
If every value in a population data set is multiplied by a constant , how does the population variance change?
Two data sets, and , have the same mean of . Set has a standard deviation of , while Set has a standard deviation of . Which of the following is the most accurate conclusion?
The variance of a data set is expressed in _________ units, which is why we take the square root to find the standard deviation.
A researcher chooses to report the median of a data set because it is highly skewed and contains significant outliers.
Identify the measure of spread that is most naturally paired with the median in these circumstances.
If every value in a data set is transformed by the function , how does the interquartile range (IQR) of the new data set compare to the original?
Which of the following statements correctly describes the range of a data set?
When using the standard formula to calculate the standard deviation of a data set, what is the name given to the intermediate value defined as the mean of the squared deviations from the mean?
On a box-and-whisker plot, if the central box is very narrow (representing a small interquartile range) compared to the total length of the whiskers (representing a large range), what does this specifically indicate about the data distribution?
In Data Set , the population standard deviation is small (), while in Data Set , it is large (). If both sets share a mean of , in which set is the mean a more representative "typical" value?
Practice Measures of spread with authentic MYP MYP Extended Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.
Why is the standard deviation often preferred over the variance for reporting the spread of data in a final conclusion?
If every value in a population data set is multiplied by a constant , how does the population variance change?
Two data sets, and , have the same mean of . Set has a standard deviation of , while Set has a standard deviation of . Which of the following is the most accurate conclusion?
The variance of a data set is expressed in _________ units, which is why we take the square root to find the standard deviation.
A researcher chooses to report the median of a data set because it is highly skewed and contains significant outliers.
Identify the measure of spread that is most naturally paired with the median in these circumstances.
If every value in a data set is transformed by the function , how does the interquartile range (IQR) of the new data set compare to the original?
Which of the following statements correctly describes the range of a data set?
When using the standard formula to calculate the standard deviation of a data set, what is the name given to the intermediate value defined as the mean of the squared deviations from the mean?
On a box-and-whisker plot, if the central box is very narrow (representing a small interquartile range) compared to the total length of the whiskers (representing a large range), what does this specifically indicate about the data distribution?
In Data Set , the population standard deviation is small (), while in Data Set , it is large (). If both sets share a mean of , in which set is the mean a more representative "typical" value?