Victory for the ACT Student Text 15e

250 • M ATH

5. In a group of children, 3 children are 10 years old and 2 children are 5 years old. What is the average age, in years, of the children in the group? A. 6 B. 6.5 C. 7 D. 7.5 E. 8 6. The number of employment applications ”‡…‡‹˜‡† „› ŽŽǦ –ƒ” –ƒˆϐ‹‰ ‡ƒ…Š ‘–Š during 2016 was as follows: 8, 4, 5, 3, 4, 3, 1, 0, 3, 4, 0, and 7. What was the median number of applications received per month in 2016? F. 2.5 G. 3 H. 3.5 J. 4 K. 4.5 8. The combination for screen lock consists of four numbers taken from 10 digits, Ͳ –Š”‘—‰Š ͻǤ Š‹…Š ‘ˆ –Š‡ ˆ‘ŽŽ‘™‹‰ ‡š’”‡••‹‘• ‰‹˜‡• –Š‡ —„‡” ‘ˆ †‹•–‹…– screen lock combinations that are possible given that repetition of digits is allowed? F. 40 G. ! 10 10 4 H. 10 4 J. ( ) 4 10 4 K. !10

7. William’s monthly electric bills for last year were as follows: $40, 38, 36, 38, 34, ͵Ͷǡ ͵Ͳǡ ͵ʹǡ ͵Ͷǡ ͵͹ǡ ͵ͻǡ ƒ† ͶͲǤ Šƒ– ‹• –Š‡ mode of the bills? A. $33 B. $34 C. $35 D. $36 E. $37

Throwback to Math Class The median is the middle value (or the average of the two middle values) when the data are arranged in ascending or descending order. The mo e is the data value that occurs with the greatest frequency.

COUNTING METHODS

9. A committee of 4 members is chosen from a list at random. If the list has 6 names, in how many different sequences can the 4 member names be drawn? A. 60 B. 120 C. 240 D. 360 E. 480