Students at UCSC were asked to name their favorite campus eatery or café. Their responses were as follows:
Banana Joe’s, Terra Fresca, Owl’s Nest, Vivas, Vivas, Iveta, Vivas, Iveta, Iveta, Terra Fresca, Iveta, Terra Fresca, Owl’s Nest, Oake’s Café, Terra Fresca, Banana Joe’s, Owl’s Nest, Vivas, Iveta, Iveta, Terra Fresca, Owl’s Nest, Oake’s Café, Banana Joe’s
a) Complete the frequency table. Show your work for the percentage calculation.
b) What scale of measurement is this data?
a) Complete the frequency table. Show your work for the percentage calculation.
Solution:
From given data, we have the frequency table with corresponding percentages given as below:
Campus |
Frequency |
Prob. |
Percent |
Banana Joe’s |
3 |
3/24 = 0.125 |
0.125*100 = 12.50% |
Iveta |
6 |
6/24 = 0.25 |
0.25*100 = 25.00% |
Oake’s Café |
2 |
0.083333333 |
8.33% |
Owl’s Nest |
4 |
0.166666667 |
16.67% |
Terra Fresca |
5 |
0.208333333 |
20.83% |
Vivas |
4 |
0.166666667 |
16.67% |
Total |
24 |
1 |
100.00% |
b) What scale of measurement is this data?
This data have nominal scale of measurement, because all values of the variable are nominal in nature or they are names of the favourite campus eatery or cafes.
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