the two - way frequency table shows the number of students who participate in school sports or clubs at…
the two - way frequency table shows the number of students who participate in school sports or clubs at monroe high school.\n\n| |sports or clubs|no sports or clubs|total|\n|----|----|----|----|\n|freshmen|48|60|\n|sophomores|60|72|\n|juniors|51|69|\n|seniors|57|63|\n|total| | |480|\n\na. construct a relative frequency table by converting the data in the table to percent to the nearest tenth if necessary.
Answer
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 | |
|---|---|---|---|
| Freshmen | $0.1$ | $0.1$ | $0.225$ |
| 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 | |
|---|---|---|---|
| Freshmen | $0.1$ | $0.1$ | $0.225$ |
| Sophomores | $0.1$ | $0.15$ | $0.275$ |
| Juniors | $0.1$ | $0.1$ | $0.25$ |
| Seniors | $0.1$ | $0.1$ | $0.25$ |
| Total | $0.45$ | $0.55$ | $1$ |