The number of spelling errors per thousand words for 13 typists was recorded. The results arc shown below.
Typist Number of Errors I XXXXXXXXXX XXXXXXXXXX XXXXXXXXXXII XXXXXXXXXX
(a) Using the data above determine:
(i) the mean
( I mark)
(ii) the mode ( I mark)
(a) continued Using the data above determine:
(iii) the median (I mark)
(iv) the range ( I mark)
(b) Construct a box and whisker plot for the number of errors as listed above. (2 marks)
(c) Using the intervals 20-29, 30-39, etc. draw:
(i) a frequency distribution table ( I mark)
(c) continued Using the intc,als 20-29, 30-39, etc. draw: (ii) a histogram (2 marks)
Question 2 (a) Are the following data sets continuous or discrete?
(i) Flights out of Rockhampton per week (I mask)
(ii) Half-hourly temperatures recorded at a weather bureau (I mark)
lb) The approximate occurrence of the vowels. a. e. i. o and u, in English documents is shown in the bar chart below. Bar Chart of Vowel Occurence
(i) which of the vowel occurs moat frequently,
(ii) which vowels occur at approximately the same ticquescy.
( I mark) (I mark)
Question 3 Simplify the following expressions using the rules for operations involving (4 marks) exponents.
(i) ( y2 (iii) ix XXXXXXXXXXj 3
(iv) (x2 )3
(-213 t' -4 Simplify : (21-,) giving the answer with positive exponents (assume all variables # 0 ).
Question 5 Solve each equation for nr.
(a) 6n3 = 48
(b) —10+6 V; — 2+3 4f;
Question 6 On the sct of axes below clearly label the following:
(a) the x-axis (b) they-axis (c) the four quadranis (d) A(-4,5) (e) (0 C(5,0) (8) D(4,I)
a - -s -1