The following stem and leaf plot shows the number of students at the local recreational center each day at 4 pm.
which data set is represented by this plot?

Hence the correct option is the fourth option.

Step-by-step explanation:

i) the data represented in the 10's is given by 16

ii) the data represented in the 20's is given by 22, 22, 25, 26

iii) the data represented in the 30's is given by 34, 35, 39

iv) the data represented in the 40's is given by 42, 42

v) the data represented in the 50's is given by 50

vi ) the data represented in the 60's is none

vii) the data represented in the 70's is given by 71

Therefore the data set is 16, 22, 22, 25, 26, 34, 35, 39, 42, 42, 50, 71 which is the answer in the fourth option.

Hence the correct option is the fourth option.

-5   - 4    -1    4     11    20    31   subtracting:-
   1       3     5    7      9      11      subtractiing:-    
       2      2     2    2      2

second row is 2 so the rule will contain n^2

so we can write the series as n^2 - 6 , n^2 - 8 , n^2 - 10 etc

the  numbers are in arithmetical sequence with  a1 = 6 and d = -2

so nth term  of our sequence is n^2 - a1 + (n - 1)d = n^2 -2n - 6 + 2
  
  = n^2 - 2n - 4   Answer