Please use this formula I provided to solve the questions. Answer in A4 papers. with eligible handwriting . Thanks.

(CLO2:PLO4:C3)(CLO2:PLO7:C3) FORMULA SHEET Sturges Rule: No. of classes : c=1+3.3logn iz range Class width : C Arithmetic mean : n n [X () if n is odd X - L + 2 - F Median : + x() if niseven Mode : Standard deviation : 1- 1 s = n-1 IQR : 2 -2 O, at "+ th term 4 Q, at 3(n + 12 th term 3(mean - median) mean - mode Coefficient of skewness : standard deviation Or standard deviation standard deviation Coefficient of variation : x 100% mean Probability : P(AUB) = P(A) + P(B) mutually exclusive events P(AUB) - P(A) + P(B) - P(AnB) not mutually exclusive events P(AnB) - P(A)P(B) independents events P( A/ B) = P(An B) P(B) conditional probability Page 1 of 7 + 15SECTION A (80 Marks) There are EIGHT (8) questions in this section and answer ALL Questions. 1. The following data give the number of orders received for a sample of 23 hours at the Time- Saver Mail Order Company. 33 44 31 52 47 38 35 32 28 24 46 41 53 57 33 27 27 45 38 34 46 36 a (a) Given that _ x =897 and X x2 = 36,891, find the mean and standard deviation of this data. (2 marks) (b) Construct the stem-and-leaf diagram for the above data. (3 marks) (b) Find the first quartile and median of this data. (4 marks) (c) (d) Calculate the skewness coefficient of this data. [(1 mark) Spell CheckA & Aa : L Copy Format B / U - A . X X A - D. A- A AaBbCcDd AaBbCcDd AaBbCcDd AaBbCcDi FA Painter Body Text... Comment ... Commen... Comment. Word Typesetting 2. A sample of voters in a town are classified by age groups, as shown by the following: Styles and Formatting Age Group Number of voters 21 - 30 12 Body Text Indent 3 31 -40 2z 41-50 15 New Style... Clear 51 -60 18 61 - 70 Pick formatting to ap 71 -80 11 81 -90 Body Text Indent 3 8 Comment Reference (a) Find the mean and standard deviation of the age of these voters. (6 marks) Comment Subject Age Group X Comment Text 21 - 30 12 31 -40 Default Paragraph Fo 41 -50 15 51 - 60 18 Footer 61 -70 Header 71 -80 11 81 - 90 8 Heading 1 Total Headina 2 Show: Valid styles (b) If another sample is taken from the same town the and the results showed that the mean and standard deviation was 45 and 12.5 years old respectively. Which sample data has a higher Show Previews reliability? Justify your answer. (4 marks)