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A student named Alex recorded the number of minutes spent reading each evening for 30 consecutive days.
A box-and-whisker diagram summarizing the 30 reading times is shown below.
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Write down Alex's median daily reading time.
State the interquartile range of Alex's daily reading time.
Alex claims, "I managed to read every single day this month."
State if Alex's claim is correct. Give a reason for your answer.
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Nathan loves backgammon. One of the rules of the game stipulates that if someone rolls doubles (the two dice show the same value), they must move the number indicated on the die four times. Hence, Nathan collects data on the number of rolls before someone rolls a double:
Nathan believes that the data fits a geometric distribution with probability of success 61 (P(X=x)=61(65)x)
Perform linear regression on ln(frequency).
Explain why the answer to part (a) supports Nathan's belief.
Nathan decides to perform a 5% significance test on the data. He calculates the expected frequencies for the number of rolls before someone rolls a double.
Find the value of
a;
b.
Explain why Nathan should combine groups to conduct his significance test.
For the test
Write down the degrees of freedom
Find the p-value of the test.
State the conclusion of the test. Justify your answer.
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This question has been developed independently from and is not endorsed by the International Baccalaureate Organization. International Baccalaureate and IB are registered trademarks owned by the International Baccalaureate Organization.
The Mathematics AA HL exams in May 2022 consisted of 3 papers. Students completed one of two versions of each paper, depending which time zone they lived in. The number of marks, M, of questions on these exams are represented in the following histogram.
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State the total number of questions that appeared on the exams.
Andrew, an IB math student, knows that both paper 1 and paper 2 are separated into a "Section A" (short questions answered in the exam booklet) and a "Section B" (long questions answered in a separate booklet). He also knows that the exam paper 3 contains only 2 questions.
He hypothesizes that there are "rules" to the possible number of marks per question in each sections.
Describe the "rules" concerning the number of marks per question on
(i) Section A,
(ii) Section B,
(iii) Paper 3
State the modal class for the number of marks per question of
all May 2022 questions,
Section B questions only.
Using a graphic calculator;
(i) find the standard deviation in marks per question of Section A in May 2022,
(ii) estimate the standard deviation in marks per question of Section A in general, and explain why your answer is different from (i).
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