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 Check