10. Calculate the mean and median for the population grouped frequency distribution given below. Length (cm) Frequency 0 - less than10 2 10 - less than 20 17 20 - less than 30 26 30 - less than 40 10 40 - less than 50 5 3 11. The following table shows the distribution of the number of books read by a sample of 50 students in a particular month. Number of Books Number of students 0-4 5-9 9 10 - 14 18 15 - 19 10 20-24 6 Determine the mean, median and mode. Interpret the results.12. The table shows the cumulative frequency distribution of the distances travelled by all 210 salespersons of a company on one particular day. Distance travelled (km) Number of salespersons less than 0 0 less than 10 25 less than 20 77 less than 30 134 less than 40 167 less than 50 199 less than 60 210 (a) Construct a grouped frequency distribution for the data. ( b ) Find the mean distance travelled by the salespersons. 13. The following table shows the distribution of the number of weekly accidents at a certain town which has been recorded for 52 consecutive weeks. Number of 0 -4 5-9 10-14 15 -19 20-24 25-29 30-34 accidents Number of weeks 4 6 11 15 8 5 3 Find the modal number of weekly accidents. 14. The following table shows the distribution of the number of pens used in an office per month for all 40 offices in a survey. Number of Pens Frequency 1 -5 6 6 -10 9 11 - 15 12 16 -20 9 21 -25 A Determine the mode, median and mean of the distribution.Measures of Dispersion & Measures of Position 15. Given a set of population data 23, 24, 34, 29, 31, 27, 31, 29. Determine the variance and standard deviation of the data. 16. Find the mean and standard deviation for the set of all data. 13, 23, 35, 6, 28, 35, 48, 12, 37 17. Determine the inter-quartile range and standard deviation of a set of sample data 12, 11, 21, 16, 15, 18, 14, 17. 18. Find the first quartile, median and third quartile for the following set of sample data. (a) 114, 120, 133, 138, 145, 148, 151 (b) 15, 19, 20, 22, 25, 27, 27, 28, 31, 32 19. Sales (units) 5-7 8-10 11-13 14-16 17-19 20-22 |23-25 26-28 Number of days 4 8 16 28 29 19 10 3 Draw a 'less than' ogive for this distribution. From the ogive, determine (a) the first and third quartiles, (b ) the inter-quartile range. 20. The following data give the time (in minutes) taken by 15 students to complete a finance test 45 53 29 33 39 47 56 32 29 38 46 51 47 51 38 (a) Calculate the values of three quartiles. (b) Find the semi inter-quartile range. 21. The table below gives the frequency distribution of the number of orders received each day during the past 50 days at the office of a mail-order company. Use the formulas to calculate the mean, variance, and standard deviation. Number of Orders Number of Days 10-12 4 13-15 12 6-18 20 9-21 1422. A. researcher asked 25 consumers: mHov.r much would you pay for a television adapter that provides Internet access?" Their - nu: - u res unses are as follows: Number of Re: muses {a} Calculate the mean, variance, and standard deviation. {h) Calculate the value of rst and third quartiles. 23. ABC Company has 43 used cars for sale. The table below shows the age.x [in years) of the cars. Age {1:} l 2 3 4 5 F uen T 12 3 6 {a} Find [i] the median age, {ii} the first and third quartiles for this distribution. {h} Draw a box-plot to represent this data. {c} State the type of distribution based on your boxplot. 24. You have to conduct a survey for a sample of 15 students in UTAR to identify the money they spent {rounded to nearest RM) in a day to buy food. {a} List down a set ofpossihle raw data that could he collected from the sample. {h} Calculate all the three quartiles. {e} Draw a boxplot to represent this data. State the outlier, if any