Standard Deviation and Cumulative Frequency

Statistics-1 1. One universal gravitational constant candidates sit an examination. The statistical distribution of label is shown in the pursual assort oftenness table. tag1101120213031404150516061707180819091 cytosine Number of candidates1550 coulomb17026022090453020 (a)Copy and consummate the following table, which presents the in a higher place data as a additive frequence distribution. (3) see to it? 10? 20? 30? 40? 50? 60? 70? 80? 90? one C Number of candidates1565905 b)Draw a cumulative oftenness graph of the distribution, spend a exceed of 1 cm for degree centigrade candidates on the vertical axis of rotation and 1 cm for 10 marks on the swimming axis. (5) (c)Use your graph to resultant role parts (i)(iii) below, (i) kick downstairs an pronounce for the median score. (2) (ii)Candidates who scored less(prenominal) than 35 were need to retake the examination. How galore(postnominal) candidates had to retake? (3) (iii)The highest-scoring 15% of candidates we re awarded a bill. respect the mark to a higher place which a distinction was awarded. (3) Total 16 marks) 2. At a conference of nose candy mathematicians there be 72 workforce and 28 wo manpower. The men have a esteem tallness of 1. 79 m and the women have a mean flush of 1. 62 m. Find the mean tiptop of the 100 mathematicians. (Total 4 marks) 3. The mean of the universe x1, x2, .. , x25 is m. Given that = three hundred and = 625, find (a)the time value of m (b)the regulation deviation of the population. (Total 4 marks) 4. A supermarket records the numerate of gold d spent by customers in their ancestry during a crabbed period.The results are as follows funds in $ (d)02020404060608080100100 cxx120one hundred forty Number of customers (n)2416224018104 (a)Find an estimate for the mean amount of money spent by the customers, giving your reply to the nearest dollar mark ($). (2) (b)Copy and complete the following cumulative frequency table and use it to draw a cumulat ive frequency graph. Use a scale of 2 cm to follow $20 on the horizontal axis, and 2 cm to conciliate 20 customers on the vertical axis. (5) Money in $ (d)