Zadanie 1a
State the mode.
Calculate or estimate measures of centre and spread and determine how shifting or scaling observations affects them.
Tę umiejętność sprawdza 37 zadań wzorowanych na arkuszach IB z lat 2022–2026.
State the mode.
Find (i) the mean; (ii) the median; (iii) the population standard deviation.
The interquartile range is 14 minutes. Find a.
The class frequencies are 5 for 20 ≤ h < 25, 11 for 25 ≤ h < 30, 16 for 30 ≤ h < 35, p for 35 ≤ h < 40 and q for 40 ≤ h < 45. (i) Find p and q. (ii) Estimate the mean from this table, to four significant figures.
Find the interquartile range.
(i) Show that . (ii) Hence find the mean of the eight areas in the form , where p is a positive rational number and a is a positive integer.
Find the median area in the form cm2, with q a positive rational number.
Find (i) the mean power and mean rise; (ii) the equation of Model A.
Find the mean of x.
Explain why the median of all 26 masses remains 18 g.
Find L and H.
State the median and interquartile range for machine B.
Compare the two sample distributions using (i) their medians; (ii) their interquartile ranges. Justify both comparisons.
Find (i) the median; (ii) the interquartile range.
Show that the 11.1-minute job is an outlier.
Find p and q.
State the mean displayed score.
Find p and q.
State (i) the mode; (ii) the range; (iii) the median.
Find the interquartile range.
State (i) the mode; (ii) the range; (iii) the median.
Find the interquartile range.
Using the class midpoints, estimate (i) the mean device age; (ii) its variance.
The panels schematically compare centres and spreads; no normal model is assumed. (i) Which panel best represents R and S? (ii) Which network does its dotted line represent?
Using the class midpoints, estimate (i) the mean device age; (ii) its variance.
The panels schematically compare centres and spreads; no normal model is assumed. (i) Which panel best represents R and S? (ii) Which network does its solid line represent?
Use the cumulative graph to estimate (i) the median daily count; (ii) the number of days when at least 80% of capacity was used.
The box plot summarizes processing times for the 20000 specimens. (i) Estimate how many took between 4 and 28 minutes. (ii) Half took less than a minutes; estimate a.
For the next 50-day cycle, capacity is expanded to 612. The model adds 12 specimens to each daily count. (i) Find the new mean daily count. (ii) State the effect on the variance.
Use the cumulative graph to estimate (i) the median daily count; (ii) the number of days when at least 80% of capacity was used.
The box plot summarizes processing times for the 20000 specimens. (i) Estimate how many took between 4 and 28 minutes. (ii) Half took less than a minutes; estimate a.
For the next 50-day cycle, capacity is expanded to 612. The model adds 12 specimens to each daily count. (i) Find the new mean daily count. (ii) State the effect on the variance.
Find x.
Find the population standard deviation.
Using the 1.5×IQR rule, find the largest c reading that would not be classified as an upper outlier.
State the median warm-cache latency.
Explain why the warm-cache mean appears likely to exceed its median.
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