A random sample of 25 of the 400 member of the Bigtime Theater Company is surveyed about how may plays each has acted in. Which statement below would be an appropriate inference about the data? (hint: consider making a box plot or dot plot to organize the data) 3,5,5,3,4,4,1,3,6,10,1,3,4,5,1,2,4, 2,3,2,5,5,5,5,6

1. Most members have acted in between 1-4 plays.

2. Most members have acted in 2 plays.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

b

step-by-step explanation: