DP Mathematics HL Questionbank

• Syllabus

5.1

Sub sections and their related questions

Concepts of population, sample, random sample and frequency distribution of discrete and continuous data.

• 12N.2.hl.TZ0.4: A set of 15 observations has mean 11.5 and variance 9.3. One observation of 22.1 is considered...
• 08M.2.hl.TZ2.1: Consider the data set...
• 13M.2.hl.TZ1.1: The marks obtained by a group of students in a class test are shown below.     Given the...
• 11M.2.hl.TZ1.7a: Find the value of \(k\) .
• 11M.2.hl.TZ1.7b: Hence find (i)     the mean of \(X\) ; (ii)     the median of \(X\) .
• 16M.2.hl.TZ1.13a: A single ball is taken from the bag. Let \(X\) denote the value shown on the ball. Find...
• 16M.1.hl.TZ1.2: At a skiing competition the mean time of the first three skiers is 34.1 seconds. The time for the...
• 16N.2.hl.TZ0.11d: (i)     Hence show that \(X\) has two modes \({m_1}\) and \({m_2}\). (ii)     State the values...
• 18M.1.hl.TZ2.3a: Find the value of p.
• 18M.1.hl.TZ2.3b.i: Find μ, the expected value of X.
• 18M.1.hl.TZ2.3b.ii: Find P(X > μ).

Grouped data: mid-interval values, interval width, upper and lower interval boundaries.

• 12M.2.hl.TZ1.5a: How many students obtained a grade of more than 4?
• 12M.2.hl.TZ1.5b: State, with reasons, the maximum possible number and minimum possible number of students who...
• 13N.3sp.hl.TZ0.1a: Using the data in the table, (i)     show that an estimate of the mean speed of the sample is...
• 16M.2.hl.TZ1.13a: A single ball is taken from the bag. Let \(X\) denote the value shown on the ball. Find...
• 16M.1.hl.TZ1.2: At a skiing competition the mean time of the first three skiers is 34.1 seconds. The time for the...
• 16N.2.hl.TZ0.11d: (i)     Hence show that \(X\) has two modes \({m_1}\) and \({m_2}\). (ii)     State the values...
• 18M.1.hl.TZ2.3a: Find the value of p.
• 18M.1.hl.TZ2.3b.i: Find μ, the expected value of X.
• 18M.1.hl.TZ2.3b.ii: Find P(X > μ).

Mean, variance, standard deviation.

• 08M.2.hl.TZ2.1: Consider the data set...
• 13M.1.hl.TZ1.13d: Alfred and Beatrice play n games. Let A denote the number of games Alfred wins. The expected...
• 10M.1.hl.TZ1.10: The ten numbers \({x_1},{\text{ }}{x_2},{\text{ }} \ldots ,{\text{ }}{x_{10}}\) have a mean of 10...
• 14N.2.hl.TZ0.3: Consider the data set...
• 15M.1.hl.TZ1.2a: Find the mean score for the class.
• 15M.1.hl.TZ1.2b: Write down the median score.
• 15M.1.hl.TZ1.2c: Write down the number of students who scored (i)     above the mean score; (ii)     below the...
• 15N.2.hl.TZ0.3a: Given that the mean number of goals scored per player is \(1.95\) , find the value of \(k\).
• 15N.2.hl.TZ0.3b: It is discovered that there is a mistake in the data and that the top scorer, who scored 22...
• 16M.2.hl.TZ1.13a: A single ball is taken from the bag. Let \(X\) denote the value shown on the ball. Find...
• 16M.1.hl.TZ1.2: At a skiing competition the mean time of the first three skiers is 34.1 seconds. The time for the...
• 16N.2.hl.TZ0.11d: (i)     Hence show that \(X\) has two modes \({m_1}\) and \({m_2}\). (ii)     State the values...
• 18M.1.hl.TZ2.3a: Find the value of p.
• 18M.1.hl.TZ2.3b.i: Find μ, the expected value of X.
• 18M.1.hl.TZ2.3b.ii: Find P(X > μ).