1. Which is a correct statement regarding a weighted mean?(two marks) The weighted mean is less affected by outliers than the median. B Multiply the weighting by the corresponding data value, then find the sum of the products. C A weighted mean is always different from the actual mean. D A weighted mean accounts for the relative importance of each value in the average. 2. Which list of measures of central tendency represents the ranking from most to least affected by outliers?(two marks) A mean, median, mode C median, mean, mode B mean, mode, median D mode, mean, median3. What is the median of the sample 3, 4, 7, 4, 9, 4, 5, 6, 7, 107(three marks) 4 C 5.9 B 5.5 D 7 4. Determine the mean age for this set of data.(three marks) Age (years) 12-14 14-16 16-18 18-20 Frequency 3 7 18 6 A 8.5 years C 16.6 years B 16 years D 564 yearsMatch the correct measure of central tendency to each of the following formulas. A measure of central tendency may be used more than once or not at all. A median D weighted mean B mean E mode mean for grouped data 1.\fMatch the correct term to each of the following descriptions. A term may be used more than once or not at all. A third quartile D box and whisker plot B histogram first quartile C interquartile range F outlier 4. The difference between the third and first quartiles. 5. The same as the 75th percentile. 6. Visually demonstrates the spread of the data. 7. More than 1.5 times the IQR from either the first or third quartile.1. Anil received the following marks on his first five biology tests: 75, 84, 92, 61, and 79. What test score must Anil earn on his sixth test so that his mean mark for all six tests will be 80?(three marks) 2. The table shows the results of a survey taken of pet owners who frequent a pet food store. Number of Pets Frequency 15 10 WN 6 Uni 22. The table shows the results of a survey taken of pet owners who frequent a pet food store. Number of Pets Frequency 15 10 3 6 4 5 2 Determine the mean, median, and mode number of pets.(three marks)3. You have learned that the median is less affected than the mean by extremely large or extremely small values. Illustrate this concept with a data set containing at least seven values. (four marks)4. For a statistics assignment, a student observed the cars entering the school staff parking lot during a 1-hour period. The results are shown: 40 cars had only a driver 28 cars had the driver and one passenger 10 cars had the driver and two passengers 2 cars had the driver and three passengers(five marks) a) Compute the mean, median, and mode number of people per car. b) The student presented her statistics to the staff. Write a sentence that is appropriate to use for each measure of central tendency
