Please solve all the questions,take your time no need to hurry.If you Don't want to solve all problems then please Don't take this question.

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1. The owner of a departmental store wants to know the weekly requirements of different categories of T-shirts demanded by the customers. For this, he collected information on the number of different categories of T-shirts sold by the store in the last week. The data obtained by the store are M, S, L, XL, M, M, S, S, S, M, M, XL, XL, L, M, M, M, M, S, S, L, L, XL, M, M, S, S, L, L, S, M, M, L, L, M, M, L, XL, S, S, S, M, M, M, S, XL, L, L, M, M, M, M, S, M, M. S, XL, L. Here, S, M, L, and XL denote the small, medium, large and extra-large sizes of T-shirts respectively. Construct a frequency distribution Table for the above categorical data and find the dominant size of the T-shirt. 2. The following data give the number of shoes in different sizes sold by a shop last week. Here, S, M,&L denote the small, medium, large size. L, M, S, M, M, M, S, L, L, S, M, M, S, L, M, M, S, L, S, M, M, M, S, L, S, S, S, S, M, M, M, L, S, M, M, M, L, L, S, M, S, M, L, M, L, M, M, L, M, M, L, S, S, M. i) Construct a frequency table. ii) Which one is the most preferable size? iii) Construct a bar and pic chart. 3. The following data relate to the audit time of 20 clients. 10,15,20,28,13,18,24,29,12,16,23,34,14,17,22,17,21,16,18,19. a) Construct a stem and leaf plot for the above data and find the mode. b) For the given data construct a suitable frequency distribution table and hence draw Histogram \& a frequency polygon. c) Compare the Mode obtained from the stem and leaf plot and Histogram. d) Are there any outliers in this data? 4. The following data set represents the scores on intelligence quotient (IQ) examinations of 40 sixth-grade students at a particular school: a. Organize the data in classes such as 90100,100110, and so on. b. Present the data set in a frequency histogram. 5. The international Rhino Federation estimates that there are 25280 rhinoceroses living in the wild in Africa and Asia. A breakdown of the number of rhinos of each species is reported in the accompanying table. a. Construct a relative frequency table for the data. b. Display the frequencies in a bar graph. c. Display the frequencies in a pie chart. d. What proportion of the 25280 rhinos are White rhinos? Black? 6. You are working for the transport manager of a "call centre" which hires cars for the staff. You are interested in the weekly distances covered by these cars. Kilometers recorded for a sample of hired cars during a given week yielded the following data: a) Find average distances by suitable method. b) Draw an ogive curve and find the median, Q2, P50, and D5. c) Find graphically the number of cars that covered less than 165km in the week