a relative frequency table is made from data in a frequency table. what is the value of y in the relative…

a relative frequency table is made from data in a frequency table. what is the value of y in the relative frequency table? round the answer to the nearest percent.\nfrequency table\n| | g | h | total |\n|----|----|----|----|\n| e | 12 | 11 | 23 |\n| f | 14 | 8 | 22 |\n| total | 26 | 19 | 45 |\nrelative frequency table\n| | g | h | total |\n|----|----|----|----|\n| e | y | 24% | 51% |

a relative frequency table is made from data in a frequency table. what is the value of y in the relative frequency table? round the answer to the nearest percent.\nfrequency table\n| | g | h | total |\n|----|----|----|----|\n| e | 12 | 11 | 23 |\n| f | 14 | 8 | 22 |\n| total | 26 | 19 | 45 |\nrelative frequency table\n| | g | h | total |\n|----|----|----|----|\n| e | y | 24% | 51% |

Answer

Explanation:

Step1: Recall relative - frequency formula

Relative frequency of a cell = $\frac{\text{Frequency of the cell}}{\text{Total frequency}}\times100%$. In the row for E, the sum of the relative - frequencies of the columns G and H should equal the relative - frequency of the total for row E.

Step2: Calculate y

We know that the relative - frequency of the total for row E is 51% and the relative - frequency of column H for row E is 24%. Let the relative - frequency of column G for row E be $y$. Then $y+24% = 51%$. Solving for $y$, we get $y=51% - 24%=27%$.

Answer:

27%