Question I
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
vowel
(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
Question 4
(b)
(iv) (x2 )3
(-213 t' -4 Simplify : (21-,) giving the answer with positive exponents (assume all variables # 0 ).
(4 marks)
Question 5 Solve each equation for nr.
(a) 6n3 = 48
(b) â€”10+6 V; â€” 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
-t