GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.

Kindly give correct answers and step by step working.do not skip steps.Mention clearly about the formula and the conversion.be very clear.do not skip steps.be very clear.

STA DEC2019

QUESTION 1 a) State whether the following statement is TRUE or FALSE. i) Flavour of ice cream ordered by a customer is an example of categorical variable. In descriptive statistics, the main objective is to describe characteristics of data in the study. ill) A discrete variable can assume number in fraction. iv) Cluster sampling will take all sampling unit in the selected clusters as the samples. (4 marks) b) Hock Motor is supplying spark plug for a four strokes motorcycle. A study is done by a group of students to investigate the durability of the spark plug. A good spark plug is indicated by the distance (in kilometer) usage until failure is observed. Out of fifty spark plugs sold by the shop, ten are selected to be tested by the students. 1) State the population and sample of the study. (2 marks) ii) State the variable of interest, its type and level of measurement. (3 marks) ill) Name the appropriate sampling technique that can be applied to select ten spark plugs. (2 marks) iv) Name the most appropriate method of data collection. (1 mark)QUESTION 2 The following data represents the citric acid concentration (in g/L) in various soft drinks. 2.0 1.7 3.8 2.7 0.8 1.6 0.8 2.1 1.9 1.5 0.8 4.5 3.9 1.3 a) Find the mean and mode. (3 marks) b) Comment on the values obtained in (a). (2 marks) c) By comparing the mean and the mode in (a), determine the skewness for the above data. (2 marks)d) Calculate the measures of position. (4 marks) e) Calculate the interquartile range. (1 mark)