4.3 Measures of central tendency and dispersionIB Maths: Applications and Interpretation HL: Mind map

Exam questions on 4.3 Measures of central tendency and dispersion

1. A hockey team scores the following numbers of goals in 10 matches: 2, 0, 3, 1, 4, 1, 2, 5, 1, 1. Treat these 10 matches as the whole population.
   Use your GDC to find the standard deviation and the variance of the number of goals.2 marks
2. The waiting times, $t$ minutes, of 50 patients at a clinic are recorded. $0\le t<10$: 6 patients; $10\le t<20$: 14 patients; $20\le t<30$: 18 patients; $30\le t<40$: 9 patients; $40\le t<50$: 3 patients.
   Estimate the mean waiting time.2 marks
3. The daily maximum temperature in a town over a month has mean $30\,^\circ$C and standard deviation $4\,^\circ$C. A visitor converts each temperature to degrees Fahrenheit using $F=1.8C+32$.
   Find the mean temperature in degrees Fahrenheit, and write down the variance of the temperatures in degrees Celsius.3 marks