Question Type 5: Given a data set, finding the value of the standard deviation, variance and IQR Exercises

A dataset $y$ is formed by multiplying each element of $x=\{2, 3, 6, 7, 4, 13, 19, 32, 14, 23, 7, 8, 12, 13\}$ by 2. Find the population variance and IQR of $y$.

Find the population standard deviation and interquartile range (IQR) of the dataset $x = \{2,3,6,7,4,13,19,32,14,23,7,8,12,13\}$.

Calculate the interquartile range (IQR) of the following dataset: $2, 3, 6, 7, 4, 13, 19, 32, 14, 23, 7, 8, 12, 13$.

In the dataset $x=\{2, 3, 6, 7, 4, 13, 19, 32, 14, 23, 7, 8, 12, 13\}$, one value was recorded as 19 instead of 9. Recalculate the population variance for the corrected dataset.

Find the population variance and standard deviation of the dataset $x$: $2, 3, 6, 7, 4, 13, 19, 32, 14, 23, 7, 8, 12, 13$.

Calculate the population standard deviation of the dataset $x = \{2,3,6,7,4,13,19,32,14,23,7,8,12,13\}$.

A new data point 10 is added to the dataset $x = \{2,3,6,7,4,13,19,32,14,23,7,8,12,13\}$. Calculate the new population variance of the 15-point dataset.

Calculate the population variance of the dataset $x = \{2,3,6,7,4,13,19,32,14,23,7,8,12,13\}$.

A new dataset $y$ is formed by multiplying each element of $x=\{2, 3, 6, 7, 4, 13, 19, 32, 14, 23, 7, 8, 12, 13\}$ by $-3$. Find the population variance and IQR of $y$.

Calculate the sample standard deviation (using $n-1$ in the denominator) of the dataset $x = \{2,3,6,7,4,13,19,32,14,23,7,8,12,13\}$.

Using the interquartile range, identify any outliers in the dataset $x = \{2,3,6,7,4,13,19,32,14,23,7,8,12,13\}$.