DP Mathematical Studies Questionbank

• Syllabus

2.3

Sub sections and their related questions

Grouped discrete or continuous data: frequency tables; mid-interval values; upper and lower boundaries.

• 10M.1.sl.TZ1.9a: Complete the grouped frequency table for the students.      
• 10M.1.sl.TZ1.9b: Write down the mid-interval value of the \(40 < x \leqslant 60\) interval.
• 11N.2.sl.TZ0.1a: Write down the midpoint of the \(60 < s \leqslant 70\) interval.
• 12N.1.sl.TZ0.11b: Write down the mid interval value for the class 6 ≤ x < 10 .
• 12M.2.sl.TZ2.3c: Write down the midpoint of the interval 10 < T ≤ 20 .
• 09M.2.sl.TZ1.1d, i: The times taken for the 2000 men were grouped as shown in the table below. Write down the...
• SPM.1.sl.TZ0.1a: Complete the frequency table for this distribution.
• SPM.1.sl.TZ0.1b: Write down the modal class.
• SPM.1.sl.TZ0.1c: Write down the mid interval value of the \(10 < t \leqslant 15\) class.
• SPM.1.sl.TZ0.1d: Use your graphic display calculator to find an estimate for the mean time.
• 07M.2.sl.TZ0.1b: Find (i) the modal length interval, (ii) the interval containing the median length, (iii) an...
• 07N.2.sl.TZ0.4i.a: State the modal group.
• 07N.2.sl.TZ0.4i.b: Use your graphic display calculator to calculate approximate values of the mean and standard...
• 08N.1.sl.TZ0.6b: Write down the mid-interval value for the \(40 - 49\) interval.
• 09M.2.sl.TZ1.1d, ii: The times taken for the 2000 men were grouped as shown in the table below. Write down the...
• 10N.1.sl.TZ0.7a: Write down the mid interval value for the interval \(50 \leqslant w \leqslant 60\).
• 14M.2.sl.TZ2.3a: Write down the total number of people who were surveyed.
• 14M.2.sl.TZ2.3b: Write down the mid-interval value for the \(10 < t \leqslant 15\) group.
• 14M.1.sl.TZ1.6b: Complete the following grouped frequency table for \(s\), the speed of the cars passing the...
• 14M.1.sl.TZ1.6c: Write down the mid-interval value of the \(50 < s \leqslant 70\) interval.
• 15M.2.sl.TZ1.3f: The table shows the speeds of these vehicles travelling past the hospital gate. Find the value...
• 15M.2.sl.TZ1.3g: The table shows the speeds of these vehicles travelling past the hospital gate. (i)     Write...
• 16M.1.sl.TZ2.14a: A group of students were asked how long they spend practising mathematics during the week. The...
• 16M.1.sl.TZ2.14b: For this group of students, the estimated mean number of hours spent practising mathematics is...
• 17N.2.sl.TZ0.1a: State whether \(N\) is a discrete or a continuous variable.
• 17N.2.sl.TZ0.1b.i: Write down, for \(N\), the modal class;
• 17N.2.sl.TZ0.1b.ii: Write down, for \(N\), the mid-interval value of the modal class.
• 17N.2.sl.TZ0.1c.i: Use your graphic display calculator to estimate the mean of \(N\);
• 17N.2.sl.TZ0.1c.ii: Use your graphic display calculator to estimate the standard deviation of \(N\).
• 17N.2.sl.TZ0.1d: Find the expected frequency of students choosing the Science category and obtaining 31 to 40...
• 17N.2.sl.TZ0.1e.i: Write down the null hypothesis for this test;
• 17N.2.sl.TZ0.1e.ii: Write down the number of degrees of freedom.
• 17N.2.sl.TZ0.1f.i: Write down the \(p\)-value for the test;
• 17N.2.sl.TZ0.1f.ii: Write down the \({\chi ^2}\) statistic.
• 17N.2.sl.TZ0.1g: State the result of the test. Give a reason for your answer.
• 18M.1.sl.TZ2.12a: Write down the mid-interval value for 10 ≤ t < 15.
• 18M.1.sl.TZ2.12b.i: Write down the total number of customers in terms of k.
• 18M.1.sl.TZ2.12b.ii: Calculate the value of k.
• 18M.1.sl.TZ2.12c: Hence, complete the histogram.

Frequency histograms.

• 07N.2.sl.TZ0.4i.c: On graph paper, draw a fully labelled histogram to represent the data.
• 07M.2.sl.TZ0.1a: Find the total number of fish in the net.
• 07M.2.sl.TZ0.1b: Find (i) the modal length interval, (ii) the interval containing the median length, (iii) an...
• 08N.1.sl.TZ0.6a: On the grid below draw a histogram to show the above weight distribution.
• 08M.1.sl.TZ1.9a: Draw a histogram on the grid below for the data in this table.
• 08M.1.sl.TZ2.2b: Find the total number of chickens.
• 16M.1.sl.TZ2.14a: A group of students were asked how long they spend practising mathematics during the week. The...
• 16M.1.sl.TZ2.14b: For this group of students, the estimated mean number of hours spent practising mathematics is...
• 17N.2.sl.TZ0.1a: State whether \(N\) is a discrete or a continuous variable.
• 17N.2.sl.TZ0.1b.i: Write down, for \(N\), the modal class;
• 17N.2.sl.TZ0.1b.ii: Write down, for \(N\), the mid-interval value of the modal class.
• 17N.2.sl.TZ0.1c.i: Use your graphic display calculator to estimate the mean of \(N\);
• 17N.2.sl.TZ0.1c.ii: Use your graphic display calculator to estimate the standard deviation of \(N\).
• 17N.2.sl.TZ0.1d: Find the expected frequency of students choosing the Science category and obtaining 31 to 40...
• 17N.2.sl.TZ0.1e.i: Write down the null hypothesis for this test;
• 17N.2.sl.TZ0.1e.ii: Write down the number of degrees of freedom.
• 17N.2.sl.TZ0.1f.i: Write down the \(p\)-value for the test;
• 17N.2.sl.TZ0.1f.ii: Write down the \({\chi ^2}\) statistic.
• 17N.2.sl.TZ0.1g: State the result of the test. Give a reason for your answer.
• 18M.1.sl.TZ2.12a: Write down the mid-interval value for 10 ≤ t < 15.
• 18M.1.sl.TZ2.12b.i: Write down the total number of customers in terms of k.
• 18M.1.sl.TZ2.12b.ii: Calculate the value of k.
• 18M.1.sl.TZ2.12c: Hence, complete the histogram.