Please show ALL work FOR PROBLEMS 15- 26. I have included the answers below.

Exam-style questions 17 a Discrete (1 mark) b Continuous (1 mark) c Continuous (1 mark) d Discrete (1 mark) 18 a As the mode is 5 there must be at least another 5. (1 mark) So we have 1, 3, 5, 5, 6 with another number to be placed in order (1 mark) 681ANSWERS i Estimate for mean is So the 2 (unhappy) The median will be the 22.25 (2 marks) candidates with grade 1 average of the 3rd and 4th are outliers. (1 mark) pieces of data. (1 mark) ii Estimate for standard deviation is 11.6 (3 s.f.) For this to be 4.5 the missing (2 marks) 23 a piece of data must be a 4. Thus a = 5, b=4 (2 marks) d Median is approximately Cumulative the 100th piece of data X Frequency frequency -1+3+4+5+5+6 which lies in the interval b 0 10 10 6 20 b. The mode of this data is 5. The median of this data is 4.5. 8 Find the value oia and the value of b. I: Find the mean of this data. (2 marks} {5 marks} P1:a State the denition of an outlier for a set of statistical data. (1 mark) Given the data 1, 2, 3, 5, 6, '7, 8, 8, 9,11, 19 nd the i mode il median Ill lower quartile iv upper quartile. ( 4 marks) Identify. with a reason. any outliers for this set of data. (2 marks) A set of 10 students have a mean mass of 70 kg. A new student joins the group. The mean mass of the 11 students is 72kg. Find the mass of the new student. (4 marks) The new lower quartile and upper quartile [or the 11 students are 66 and 76 respectively. Determine with justication whether the mass of the new student is an outlier. [3 marks} 21 P2: Sue has collected continuous data on the heights of owers and has represented it in the table below. a State how many flower heights were measured in Find the mid-point of the modal interval. I: Estimate the i mean ii standard deviation. (1 mark) (1 mark) (5 marks) d Sue's calculator states that the median is 25. Find a better estimate than this by considering the median's position within the interval that it belongs to. Give your answer to the nearest integer. (3 marks) 22 P2: Data on 13 SL Mathematics grades is r-epres'ented1 in the table below. a State whether this data is discrete or (1 mark) (I mark) continuous. it Find the mode. c Find thei mean it standard deviation. (4 marks) (I Find thei median ii lower quartile iii upper quartile. (3 marks) 9 Hence draw a box-and-whisker plot [or this data using a scale of 2 cm for 1 grade. (3 marks) f Identify with justication any Outliers. [3 marks) 23 P2: A hundred students were asked to record the number of times, x, that they exercised in a week. The results are shown in the table below. a Copy this table and ll in the missing numbers. (4 marks] [I Find thel median ll lower quartile ll! upper quartile. (3 marks} c Find thei mean ii variance. (3 marks] I! State with a reason whether this data has a unique mode. (2 marks} 24 P1: Grouped continuous data for the mass w kg, of a group of adults is given in the table below n 50