DP Mathematics: Analysis and Approaches Questionbank

Find the minimum possible value of $U$.

Hence, find the minimum possible value of $L$.

Explain why this sampling method might not provide an accurate representation of the amount of time all of the students in the school spend doing homework.

Suggest a more appropriate sampling method.

Find the largest value of $c$ that would not be considered an outlier.

Verify that the measurement of $0.46$ seconds is not an outlier.

Give an example of a set of data with 7 numbers in it that does have an outlier, justify this fact by stating the Interquartile Range.

Calculate the number of students in each grade in the sample.

Show that 3 students will be selected from grade 12.

State the name for this type of sampling technique.

Recalling definitions, such as the Lower Quartile is the $\frac{n+1}{4}th$ piece of data with the data placed in order, find an expression for the Interquartile Range.

Explain why the value of $r$ makes it appropriate to find the equation of a regression line.

Another student at the school, Jasmine, has a self-esteem value of 29.            

By finding the equation of an appropriate regression line, estimate the time Jasmine spent on social media the previous day.

Interpret the meaning of the value of $r$ in the context of the principal’s concerns.

State the name for this type of sampling technique.

Calculate Pearson’s product moment correlation coefficient, $r$.

Hence, show that a data set with only 5 numbers in it cannot have any outliers.

Find the value of the interquartile range.

One student sent k text messages, where k > 11 . Given that k is an outlier, find the least value of k.

Write down the mode.

Find the value of the range.

Find the mean.

Find the variance.

Find the value of $p$.

Write down the coordinates of A.

Write down the rate of change of $f$ at A.

Find the coordinates of B.

Find the the rate of change of $f$ at B.

Let $R$ be the region enclosed by the graph of $f$ , the $x$-axis, the line $x=b$ and the line $x=a$. The region $R$ is rotated 360° about the $x$-axis. Find the volume of the solid formed.

The graph of $f$ has a horizontal tangent line at $x=0$ and at $x=a$. Find $a$.