Question

an automotive service company has franchises in two different parts of a city. the number of oil changes made daily, for 25 days, is given below. complete parts a) through f) below.

east store
37 58 27 32 43
20 37 29 25 32
44 29 54 38 54
39 69 37 44 46
15 27 51 42 46

west store
42 43 43 40 34
42 37 39 42 32
39 41 42 36 48
28 30 37 43 33
36 49 31 42 46

a) construct a frequency distribution for each store.
fill in the frequency distribution for the east store below.
oil changes days
15-19 1
20-24 1
25-29 5
30-34 2
35-39 5
40-44 4

oil changes days
45-49 2
50-54 3
55-59 1
60-64 0
65-69 1

fill in the frequency distribution for the west store below.
oil changes days
15-19
20-24
25-29
30-34
35-39
40-44

oil changes days
45-49
50-54
55-59
60-64
65-69

Explanation:

Sort and organize the West Store data

Using the Frequency Distribution knowledge point
The daily oil changes for the West Store over 25 days are:

$$ 42, 43, 43, 40, 34, 42, 37, 39, 42, 32, 39, 41, 42, 36, 48, 28, 30, 37, 43, 33, 36, 49, 31, 42, 46 $$

Sorted in ascending order:

$$ 28, 30, 31, 32, 33, 34, 36, 36, 37, 37, 39, 39, 40, 41, 42, 42, 42, 42, 42, 43, 43, 43, 46, 48, 49 $$

Count frequencies for each class interval

Using the Frequency Distribution knowledge point

• Interval 15–19: No values. Frequency = 0.
• Interval 20–24: No values. Frequency = 0.
• Interval 25–29: 28. Frequency = 1.
• Interval 30–34: 30, 31, 32, 33, 34. Frequency = 5.
• Interval 35–39: 36, 36, 37, 37, 39, 39. Frequency = 6.
• Interval 40–44: 40, 41, 42, 42, 42, 42, 42, 43, 43, 43. Frequency = 10.
• Interval 45–49: 46, 48, 49. Frequency = 3.
• Interval 50–54: No values. Frequency = 0.
• Interval 55–59: No values. Frequency = 0.
• Interval 60–64: No values. Frequency = 0.
• Interval 65–69: No values. Frequency = 0.

Verify total count

Using the Frequency Distribution knowledge point

$$ 0 + 0 + 1 + 5 + 6 + 10 + 3 + 0 + 0 + 0 + 0 = 25 $$

The sum matches the total of 25 days.

Answer:

Oil changes	Days
20–24	0
25–29	1
30–34	5
35–39	6
40–44	10
45–49	3
50–54	0
55–59	0
60–64	0
65–69	0