5, If the mean of the following numbers is 17, find the c value. Produce an algebraic solution. Guess and check is unacceptable.12, 18, 21, c, 136, 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 11th number? Produce an algebraic solution. Guess and check is unacceptable.7, The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is unacceptable.

Unit 2: Statistics - One Variable Activity 4: Measures of Central Tendency Measure of Central Tendency Assignment 1. Find the mean of each of the following sets of numbers. a. 5, 6, 6, 8, 9, 11, 13, 14, 17 b. 148, 153, 156, 157, 160 c. 44.5, 47.5, 48.5, 51.5, 52.5, 54.5, 55.5, 56.5 2. Find the mean of each of the following frequency distributions. a ) 2 3 5 6 4 5 8 10 17 5 b 27 28 29 31 32 30 43 51 40 42 35 C 121 122 123 124 125 14 25 32 23 6 5 to under 10 4 10 to under 15 6 15 to under 20 12 20 to under 25 10 25 to under 30 7 30 to under 35 3. The table shows the speeds of 200 vehicles passing a particular point: Speed (km/h) 30 40 50 60 70 80 Frequency 14 30 52 71 33 Find the average speed. 4. On a certain day the number of books on 40 shelves in a library were noted and grouped as shown. Find the mean number of books on the shelf. # of books # of shelves 30 to under 35 4 35 to under 40 6 40 to under 45 10 45 to under 50 13 to under 55 5 55 to under 60 2