(a) Suppose you have a data set which specify screw hardness of 80 tablets. According to Sturge rule, how many classes do you require to construct a frequency distribution? How does a histogram differ from a bar diagram? Mention in a sentence. (b) Which one of the following is the purpose of using scatter diagram? (i) Knowing the relationship between two qualitative variables (ii) Determining the dependent and independent variables (iii) Knowing the relationship between two quantitative variables (iv) Knowing the relationship between one qualitative and one quantitative variables (c) What level of measurement would be used if participants were asked to choose their favourite picture from a set of six? (Provide an explanation in favor of your answer not more than 5 words) (i) Nominal (ii) Ratio (iii) Ordinal (iv) Interval (d) In a survey on evaluating the teaching performance of a teacher, who taught Statistics module in the last semester in a particular university, the number of students indicating various responses were as follows: Type of response Frequency Excellent 25 Very good 27 Good 28 Not good 10 Poor 7 Very poor 3 What type of graph would you use to represent the above data? Why do you choose this graph? (e) Let = be the standard normal variable where is normal random variable. What are the value of (2 ) and (2

MCQ Part [only write down the answer, no need to provide explanation unless you are asked). 1. (a) Suppose you have a data set which specify screw hardness of 80 tablets. According to Sturge rule, how many classes do you require to construct a frequency distribution? How does a histogram differ from a bar diagram? Mention in a sentence. (bl Which one of the following is the purpose of using scatter diagram? (i) Knowing the relationship between two qualitative variables (ii) Determining the dependent and independent variables (iii) Knowing the relationship between two quantitative variables (iv) Knowing the relationship between one qualitative and one quantitative variables (1:) What level of measurement would be used if participants were asked to choose their favourite picture from a set of six? (Provide an explanation in favor of your answer not more than 5 words) (i) Nominal (ii) Ratio (iii) Ordinal (iv) Interval (d) In a survey on evaluating the teaching performance of a teacher, who taught Statistics module in the last semester in a particular university, the number of students indicating various responses were as follows: Typ_e of response Frequency Excellent 25 Very good 2? Good 28 Not good 10 Poor 7 Very poor 3 What type of graph would you use to represent the above data? Why do you choose this graph? be the standard normal variable where X is normal random variable. _ X'J'togp (e) Let z v'? What are the value of E(2 I: X Iogp X logo '1? )and Var(2* J17 )