14. 15. 16. 17. Consider the following data set: 5, 10, 24, 79, 103 If you were told to determine the mean which formula is most appropriate to use? What other formula could you use, although it is less desirable? What would you have to keep in mind if you used this second formula? The mean of 10 numbers is 8. If an 11th number is now included in the results, the mean becomes 9. What is the value of the 11.'11 number? Produce an algebraic solution. Guess and check is unacceptable. Construct your own example that demonstrates why measures of central tendency can be misleading and thus measures of the variability of data are important. Use only mathematical concepts, prove the following a valid formula. cal? Be sure to use the method of L.H.S. and R.H.S. to ensure you get full marks. Why do we need to calculate standard deviation if it is simply the square root of the vaance? F9955?!\" 8. What is the recommended minimum number of bins for a histogram? Rolling dice would produce what type of distribution? State one of the three properties of summation notation learned during the lectures. State one of the four common summations learned during the lectures. True or False. Percentiles are the same as percents. True or False. If the median is near the centre of a box and whisker plot, the distribution is approximately symmetric. Outliers have the largest effect on which measure of central tendency? 1'. C: Application 9. 10. The ages of video renters at Kartye's Quick Video last Saturday were as follows: 21 15 19 29 16 19 23 23 12 39 22 15 19 37 49 46 19 22 15 10 a) Determine the median. b) Determine the mode. c) Compute the actual value of the mean. d) Identify the type of skewness of the data. A recent review of a com uact disc distributor's product line is summarized as follows: Sellln. Prlca 0 to under 5 51 5 to under 10 184 10 to under 15 241 15 to under 20 1468 20 to under 25 1339 25 to under 30 255 30 to under 35 98 35 to under 40 14 Show the following are true. Be sure to demonstrate to the instructor you understand all the concepts required to arrive at the answers. a) mean is $19.47; b) median is $19.59; c) range is $40; d) interquartile range is $6.48; e) standard deviation is $5.449