Answer: The values are as follows; a = 69%, b = 31%, c = 69%, d = 31%
Step-by-step explanation: Please see the attached picture for more details. The question gives a set of values in a frequency two-way table. The table has rows and columns depicting values that are related. In the first row labelled boys, for the 4-year column you have 76 and for the 2-year column you have 34 totaling 110. However, the total row is now labelled 100%, which means the two values under the "Boys" row have relative frequencies calculated as follows;
(A)
Relative frequency for 4-year (a) = (4-year/total) *100
Relative frequency for 4-year (a) = (76/110)*100
Relative frequency for 4-year (a) = 69%
(B)
Relative frequency for 2-year (b) = (2-year/total)*100
Relative frequency for 2-year (b) = (34/110)*100
Relative frequency for 2-year (b) = 31%
(C)
Relative frequency for 4-year (c) = (4-year/total)*100
Relative frequency for 4-year (c) = (83/121)*100
Relative frequency for 4-year (c) = 69%
(D)
Relative frequency for 2-year (d) = (2-year/total)*100
Relative frequency for 2-year (d) = (38/121)*100
Relative frequency for 2-year (d) = 31%
