Question

the two - way frequency table shows the number of students who participate in school sports or clubs at monroe high school.

	sports or clubs	no sports or clubs	total
sophomores	60	72
juniors	51	69
seniors	57	63
total			480

a. construct a relative frequency table by converting the data in the table to percent to the nearest tenth if necessary.

Explanation:

Step1: Calculate total for each row and column

First, find the row - totals:
Freshmen total: $48 + 60=108$
Sophomores total: $60 + 72 = 132$
Juniors total: $51+69 = 120$
Seniors total: $57 + 63=120$
Column - total for Sports or Clubs: $48+60 + 51+57=216$
Column - total for No Sports or Clubs: $60 + 72+69+63 = 264$

Step2: Calculate relative frequencies

The relative frequency of an entry is calculated as $\text{Relative Frequency}=\frac{\text{Frequency}}{\text{Total}}$.
For example, for freshmen in Sports or Clubs: $\frac{48}{480}=0.1$
For freshmen in No Sports or Clubs: $\frac{60}{480}=0.125\approx0.1$
For sophomores in Sports or Clubs: $\frac{60}{480}=0.125\approx0.1$
For sophomores in No Sports or Clubs: $\frac{72}{480}=0.15$
For juniors in Sports or Clubs: $\frac{51}{480}=0.10625\approx0.1$
For juniors in No Sports or Clubs: $\frac{69}{480}=0.14375\approx0.1$
For seniors in Sports or Clubs: $\frac{57}{480}=0.11875\approx0.1$
For seniors in No Sports or Clubs: $\frac{63}{480}=0.13125\approx0.1$
The relative - frequency table is:

	Sports or Clubs	No Sports or Clubs	Total
Sophomores	$0.1$	$0.15$	$0.275$
Juniors	$0.1$	$0.1$	$0.25$
Seniors	$0.1$	$0.1$	$0.25$
Total	$0.45$	$0.55$	$1$

Answer:

	Sports or Clubs	No Sports or Clubs	Total
Sophomores	$0.1$	$0.15$	$0.275$
Juniors	$0.1$	$0.1$	$0.25$
Seniors	$0.1$	$0.1$	$0.25$
Total	$0.45$	$0.55$	$1$