DP Mathematics SL Questionbank

• Syllabus

5.2

Sub sections and their related questions

Statistical measures and their interpretations.

• 14M.2.sl.TZ1.8c: The same data is presented in the following...
• 14N.2.sl.TZ0.8e: Estimate the mean monthly income for families living in a villa.
• 15N.1.sl.TZ0.1b: Find the value of (i)     \(c\); (ii)     \(d\).
• 16M.1.sl.TZ1.8a: Find the median number of cans collected.
• 16M.1.sl.TZ1.8b: (i)     Write down the value of \(a\). (ii)     The interquartile range is 14. Find the value...
• 16M.1.sl.TZ1.8c: Sam’s class collected 745 cans. They want an average of 40 cans per student. How many more cans...
• 16M.1.sl.TZ1.8d: The students raise $0.10 for each recycled can. (i)     Find the largest amount raised by a...
• 16M.1.sl.TZ1.8e: (i)     Write down the new mean. (ii)     Write down the new standard deviation.
• 16M.1.sl.TZ2.2a: Find the mean.
• 16M.1.sl.TZ2.2b: (i)     Write down the value of the new mean. (ii)     Find the value of the new variance.
• 16M.2.sl.TZ2.3a: For the graph of f: (i)     write down the \(y\)-intercept; (ii)     find the...
• 16M.2.sl.TZ2.3b: On the following grid, sketch the graph of \(f\), for \( - 4 \leqslant x \leqslant 4\).
• 16N.2.sl.TZ0.8a: Find the mean number of hours spent browsing the Internet.
• 16N.2.sl.TZ0.8b: During week 2, the students worked on a major project and they each spent an additional five...
• 16N.2.sl.TZ0.8c: During week 3 each student spent 5% less time browsing the Internet than during week 1. For week...
• 17M.1.sl.TZ2.8b.i: Find the amount of money an employee earned for working 40 hours;
• 17M.1.sl.TZ2.8b.ii: Find the amount of money an employee earned for working 43 hours.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...
• 18M.1.sl.TZ2.3a: Find n.
• 18M.1.sl.TZ2.3b.i: Write down the value of the new mean.
• 18M.1.sl.TZ2.3b.ii: Find the value of the new variance.

Central tendency: mean, median, mode.

• 12N.1.sl.TZ0.8a(i) and (ii): (i)     Write down the median weekly wage. (ii)    Find the interquartile range of the weekly...
• 12N.1.sl.TZ0.8b(i), (ii), (iii): The box-and-whisker plot below displays the weekly wages of the employees. Write down the...
• 12N.1.sl.TZ0.8c: Employees are paid \($\ 20\) per hour. Find the median number of hours worked per week.
• 12N.1.sl.TZ0.8d: Employees are paid \(\$ 20\) per hour. Find the number of employees who work more than \(25\)...
• 12M.1.sl.TZ2.1a: Find the median mark.
• 12M.1.sl.TZ2.1b: Find the interquartile range.
• 08M.2.sl.TZ1.1c: Find the mean number of sit-ups.
• 08M.1.sl.TZ2.1b(i) and (ii): Find (i)     the median; (ii)    the interquartile range.
• 12M.2.sl.TZ1.8a(i) and (ii): (i)     Write down the value of p and of q . (ii)    Write down the median class.
• 12M.2.sl.TZ1.8b: A child is selected at random. Find the probability that the child takes less than 95 seconds to...
• 12M.2.sl.TZ1.8c(i) and (ii): Consider the class interval \(45 \le T < 55\) . (i)     Write down the interval...
• 12M.2.sl.TZ1.8d(i) and (ii): Hence find an estimate for the (i)     mean; (ii)    standard deviation.
• 12M.2.sl.TZ1.8e: John assumes that T is normally distributed and uses this to estimate the probability that a...
• 09M.2.sl.TZ2.1a: Write down the median value.
• 10M.2.sl.TZ1.4a: Find the value of x.
• 10M.2.sl.TZ1.4b: Write down the standard deviation.
• 10M.2.sl.TZ2.1a(i) and (ii): Find the value of (i)     p ; (ii)    q .
• 10M.2.sl.TZ2.1b: Find the mean grade.
• 10M.2.sl.TZ2.1c: Write down the standard deviation.
• 13M.2.sl.TZ1.2b: Find   (i)     the mean;   (ii)     the variance.
• 14M.2.sl.TZ1.8c: The same data is presented in the following...
• 14N.2.sl.TZ0.8e: Estimate the mean monthly income for families living in a villa.
• 16M.1.sl.TZ1.8a: Find the median number of cans collected.
• 16M.1.sl.TZ1.8b: (i)     Write down the value of \(a\). (ii)     The interquartile range is 14. Find the value...
• 16M.1.sl.TZ1.8c: Sam’s class collected 745 cans. They want an average of 40 cans per student. How many more cans...
• 16M.1.sl.TZ1.8d: The students raise $0.10 for each recycled can. (i)     Find the largest amount raised by a...
• 16M.1.sl.TZ1.8e: (i)     Write down the new mean. (ii)     Write down the new standard deviation.
• 16M.1.sl.TZ2.2a: Find the mean.
• 16M.1.sl.TZ2.2b: (i)     Write down the value of the new mean. (ii)     Find the value of the new variance.
• 16M.2.sl.TZ2.3a: For the graph of f: (i)     write down the \(y\)-intercept; (ii)     find the...
• 16M.2.sl.TZ2.3b: On the following grid, sketch the graph of \(f\), for \( - 4 \leqslant x \leqslant 4\).
• 16N.2.sl.TZ0.8a: Find the mean number of hours spent browsing the Internet.
• 16N.2.sl.TZ0.8b: During week 2, the students worked on a major project and they each spent an additional five...
• 16N.2.sl.TZ0.8c: During week 3 each student spent 5% less time browsing the Internet than during week 1. For week...
• 17M.1.sl.TZ2.8b.i: Find the amount of money an employee earned for working 40 hours;
• 17M.1.sl.TZ2.8b.ii: Find the amount of money an employee earned for working 43 hours.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...
• 18M.1.sl.TZ2.3a: Find n.
• 18M.1.sl.TZ2.3b.i: Write down the value of the new mean.
• 18M.1.sl.TZ2.3b.ii: Find the value of the new variance.

Quartiles, percentiles.

• 17M.1.sl.TZ2.8b.i: Find the amount of money an employee earned for working 40 hours;
• 17M.1.sl.TZ2.8b.ii: Find the amount of money an employee earned for working 43 hours.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...
• 18M.1.sl.TZ2.3a: Find n.
• 18M.1.sl.TZ2.3b.i: Write down the value of the new mean.
• 18M.1.sl.TZ2.3b.ii: Find the value of the new variance.

Dispersion: range, interquartile range, variance, standard deviation.

• 12M.1.sl.TZ2.1a: Find the median mark.
• 12M.1.sl.TZ2.1b: Find the interquartile range.
• 08N.2.sl.TZ0.3b: Find the interquartile range.
• 12M.2.sl.TZ1.8a(i) and (ii): (i)     Write down the value of p and of q . (ii)    Write down the median class.
• 12M.2.sl.TZ1.8c(i) and (ii): Consider the class interval \(45 \le T < 55\) . (i)     Write down the interval...
• 12M.2.sl.TZ1.8d(i) and (ii): Hence find an estimate for the (i)     mean; (ii)    standard deviation.
• 12M.2.sl.TZ1.8e: John assumes that T is normally distributed and uses this to estimate the probability that a...
• 09M.2.sl.TZ1.8a: Calculate an estimate for the standard deviation of the lengths of the fish.
• 09M.2.sl.TZ1.8b: A cumulative frequency diagram is given below for the lengths of the fish. Use the graph to...
• 09M.2.sl.TZ2.1b: Find the value of (i)     \(a\) ; (ii)    \(b\) .
• 10N.2.sl.TZ0.1a: Write down the standard deviation.
• 10N.2.sl.TZ0.1b: Write down the median score.
• 10N.2.sl.TZ0.1c: Find the interquartile range.
• 10M.2.sl.TZ1.4a: Find the value of x.
• 10M.2.sl.TZ1.4b: Write down the standard deviation.
• 10M.2.sl.TZ2.1a(i) and (ii): Find the value of (i)     p ; (ii)    q .
• 10M.2.sl.TZ2.1b: Find the mean grade.
• 10M.2.sl.TZ2.1c: Write down the standard deviation.
• 11M.1.sl.TZ2.6a: Find the range of the lengths of all 200 fish.
• 11M.1.sl.TZ2.6b: Four cumulative frequency graphs are shown below. Which graph is the best representation of...
• 13M.2.sl.TZ1.2b: Find   (i)     the mean;   (ii)     the variance.
• 13M.2.sl.TZ1.7: A random variable \(X\) is normally distributed with \(\mu  = 150\) and \(\sigma  = 10\) . Find...
• 14M.2.sl.TZ1.8c: The same data is presented in the following...
• 15N.1.sl.TZ0.1b: Find the value of (i)     \(c\); (ii)     \(d\).
• 16M.1.sl.TZ1.8a: Find the median number of cans collected.
• 16M.1.sl.TZ1.8b: (i)     Write down the value of \(a\). (ii)     The interquartile range is 14. Find the value...
• 16M.1.sl.TZ1.8c: Sam’s class collected 745 cans. They want an average of 40 cans per student. How many more cans...
• 16M.1.sl.TZ1.8d: The students raise $0.10 for each recycled can. (i)     Find the largest amount raised by a...
• 16M.1.sl.TZ1.8e: (i)     Write down the new mean. (ii)     Write down the new standard deviation.
• 16M.1.sl.TZ2.2a: Find the mean.
• 16M.1.sl.TZ2.2b: (i)     Write down the value of the new mean. (ii)     Find the value of the new variance.
• 16M.2.sl.TZ2.3a: For the graph of f: (i)     write down the \(y\)-intercept; (ii)     find the...
• 16M.2.sl.TZ2.3b: On the following grid, sketch the graph of \(f\), for \( - 4 \leqslant x \leqslant 4\).
• 16N.2.sl.TZ0.8a: Find the mean number of hours spent browsing the Internet.
• 16N.2.sl.TZ0.8b: During week 2, the students worked on a major project and they each spent an additional five...
• 16N.2.sl.TZ0.8c: During week 3 each student spent 5% less time browsing the Internet than during week 1. For week...
• 17M.1.sl.TZ2.8b.i: Find the amount of money an employee earned for working 40 hours;
• 17M.1.sl.TZ2.8b.ii: Find the amount of money an employee earned for working 43 hours.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...
• 18M.1.sl.TZ2.3a: Find n.
• 18M.1.sl.TZ2.3b.i: Write down the value of the new mean.
• 18M.1.sl.TZ2.3b.ii: Find the value of the new variance.

Effect of constant changes to the original data.

• SPNone.1.sl.TZ0.4a(i) and (ii): Each value in the data set has 10 added to it. Write down the value of (i)     the new...
• SPNone.1.sl.TZ0.4b(i) and (ii): Each value in the original data set is multiplied by 10. (i)     Write down the value of the new...
• 17M.1.sl.TZ2.8b.i: Find the amount of money an employee earned for working 40 hours;
• 17M.1.sl.TZ2.8b.ii: Find the amount of money an employee earned for working 43 hours.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...
• 18M.1.sl.TZ2.3a: Find n.
• 18M.1.sl.TZ2.3b.i: Write down the value of the new mean.
• 18M.1.sl.TZ2.3b.ii: Find the value of the new variance.

Applications.

• 17M.1.sl.TZ2.8b.i: Find the amount of money an employee earned for working 40 hours;
• 17M.1.sl.TZ2.8b.ii: Find the amount of money an employee earned for working 43 hours.
• 18M.1.sl.TZ1.2a: Find the value of the interquartile range.
• 18M.1.sl.TZ1.2b: One student sent k text messages, where k > 11 . Given that k is an outlier, find the least...
• 18M.1.sl.TZ2.3a: Find n.
• 18M.1.sl.TZ2.3b.i: Write down the value of the new mean.
• 18M.1.sl.TZ2.3b.ii: Find the value of the new variance.