What is the value of y in the relative frequency table? Round the answer to the nearest percent.

Given a relative frequency table is made from data in a frequency table.

Frequency Table

G H Total

E 12 11 23

F 14 8 22

Total 26 19 45

Recall that the relative frequency table is obtained from the Frequency table by dividing each entry of the frequency table by the ovarall total of the frequency table.

Thus the relative frequency table of the frequency table above is given by:

Relative Frequency Table

G H Total

E 12/45 = 0.27 = 27% 11/45 = 0.24 = 24% 23/45 = 0.51 = 51%

F 14/45 = 0.31 = 31% 8/45 = 0.18 = 18% 22/45 = 0.49 = 49%

Total 26/45 = 0.58 = 58% 19/45 = 0.42 = 42% 45/45 = 1.00 = 100%

For the given relative frequency table with the missing value y being the value of the relative frequency of E and G.

Therefore, the value of y is 27%