B6AF104 QUESTION 6: DESCRIPTIVE STATISTICS AND PRESENTATION OF DATA (Total 25 marks) I. The table below shows test resul
Posted: Wed May 11, 2022 6:38 am
please do it in 10 minutes will upvote
B6AF104 QUESTION 6: DESCRIPTIVE STATISTICS AND PRESENTATION OF DATA (Total 25 marks) I. The table below shows test results of a random sample of students. 5 8 13 41 44 50 53 54 54 55 56 58 60 63 65 67 67 71 72 75 89 97 For the data above, find the following statistics. a. Calculate the mean (3 marks) b. Calculate the standard deviation. (2 marks) c. Find the coefficient of variation (3 marks) d. Calculate the quartiles Q1, Q2 and Q3 for the data, (3 marks) e. Calculate the inter-quartile range (IQR). (2 marks) f. Create a box plot of the data. (4 marks) g. Create a stem and leaf diagram of the data. (3 marks) II. A teacher carried out a survey of students at random to see how many novels they had read in the past year. The information is as follows: Number of novels read Number of students 0-3 4 4-7 9 8-12 13-20 15 19 a. Estimate the mean number of novels read. (3 marks) b. Calculate the percentage of students who read 8 or more novels. (2 marks) Page 9 of 12
B6AF104 QUESTION 6: DESCRIPTIVE STATISTICS AND PRESENTATION OF DATA (Total 25 marks) I. The table below shows test results of a random sample of students. 5 8 13 41 44 50 53 54 54 55 56 58 60 63 65 67 67 71 72 75 89 97 For the data above, find the following statistics. a. Calculate the mean (3 marks) b. Calculate the standard deviation. (2 marks) c. Find the coefficient of variation (3 marks) d. Calculate the quartiles Q1, Q2 and Q3 for the data, (3 marks) e. Calculate the inter-quartile range (IQR). (2 marks) f. Create a box plot of the data. (4 marks) g. Create a stem and leaf diagram of the data. (3 marks) II. A teacher carried out a survey of students at random to see how many novels they had read in the past year. The information is as follows: Number of novels read Number of students 0-3 4 4-7 9 8-12 13-20 15 19 a. Estimate the mean number of novels read. (3 marks) b. Calculate the percentage of students who read 8 or more novels. (2 marks) Page 9 of 12