Question 2.220

fruitcups

83. Fruit Cup Sales for the Student-Run Café. Table 28 contains the number of fruit cups sold per day for the Student-Run café business.

Table 2.68: TABLE 28 Fruit cups sold per day
1 1 1 1 2 2
0 2 2 4 2 2
0 1 2 1 1 1
3 2 2 4 0 0
2 3 3 0 4 4
2 0 1 2 1 3
2 1 3 2 2 1
0 2 0 3 2
  1. Construct a frequency distribution and a relative frequency distribution similar to Table 18.
  2. Use the following classes to construct a frequency distribution and a relative frequency distribution using classes, similar to Table 19. Use the following classes: 0–1, 2–3, 4–5.
  3. What is the relative frequency of days that three or more fruit cups were sold? Did you use your work from (a) or (b) to answer this? Explain how we could not have used the distributions in (b) to answer this.

2.2.83

(a)

Fruit cups sold per day Frequency Relative frequency
0 8 8/47 = 0.1702
1 12 12/47 = 0.2553
2 17 17/47 = 0.3617
3 6 6/47 = 0.1277
4 4 4/47 = 0.0851
Total 47 47/47 = 1.0000

(b)

Fruit cups sold per day Frequency Relative frequency
0–1 20 20/47 = 0.4255
2–3 23 23/47 = 0.4894
4–5 4 4/47 = 0.0851
Total 47 47/47 = 1.0000

(c) 0.2128, (a), Since 2 and 3 fruit cups sold per day are grouped together, we don't know how many of the days had 3 fruit cups sold that day.