Question

a pottery factory kept track of the number of broken plates per shipment last week. use the data to complete the histogram below. broken plates per shipment: 42, 19, 10, 40, 14, 8, 8, 35, 47, 35, 47, 4, 16, 27, 9, 11, 1. click to set the height of the missing bar. histogram with x - axis: number of broken plates (0 - 9, 10 - 19, 20 - 29, 30 - 39, 40 - 49), y - axis: number of shipments

Explanation:

Step1: Identify data for 30-39 range

First, we need to find all the values of broken plates per shipment that fall in the 30 - 39 range. Looking at the data: 35, 35, 39? Wait, no, the data given is: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4. Wait, let's list the numbers and check which are between 30 and 39 (inclusive). The numbers are: 1, 4, 8, 8, 9, 10, 11, 14, 16, 19, 27, 35, 35, 40, 42, 47, 47. Wait, 35 and 35 are in 30 - 39? Wait, 30 - 39: 30 ≤ x ≤ 39. So 35 is in that range. Wait, also, did I miss any? Wait the data list: let's re - list the "Broken plates per shipment" data: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4. So numbers between 30 and 39: 35, 35. Wait, but also, maybe I made a mistake. Wait 30 - 39: 30,31,...,39. So 35 is in that range. So how many data points are in 30 - 39? Let's count: 35, 35. Wait, but also, is 40 in 30 - 39? No, 40 is in 40 - 49. Wait, maybe I misread the data. Wait the left - hand side data: "Broken plates per shipment" with numbers: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4. So let's categorize each:

- 0 - 9: 1,4,8,8,9 → count = 5
- 10 - 19: 10,11,14,16,19 → count = 5
- 20 - 29: 27 → count = 1
- 30 - 39: 35,35 → count = 2
- 40 - 49: 40,42,47,47 → count = 4

Wait, but the histogram has:

- 0 - 9: purple bar, height? Wait the y - axis is "Number of shipments" (wait, no, the x - axis is "Broken plates per shipment" (categories: 0 - 9, 10 - 19, 20 - 29, 30 - 39, 40 - 49) and the y - axis is "Number of shipments". Wait, the histogram: 0 - 9: purple bar, 10 - 19: orange bar, 20 - 29: purple bar (small), 30 - 39: missing bar (dashed), 40 - 49: purple bar.

Wait, let's recalculate the number of shipments in each category:

1. Category 0 - 9:
- Numbers: 1,4,8,8,9. Let's count: 1 (1), 4 (1), 8 (2), 9 (1). Total: 1 + 1+2 + 1=5.
2. Category 10 - 19:
- Numbers: 10,11,14,16,19. Count: 10 (1), 11 (1), 14 (1), 16 (1), 19 (1). Total: 5.
3. Category 20 - 29:
- Number: 27. Count: 1.
4. Category 30 - 39:
- Numbers: 35,35. Wait, also, is there a 39? Wait the data given: 35,35. Wait, maybe I missed a number. Wait the data list: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4. So only two numbers (35,35) in 30 - 39? Wait, but that seems low. Wait, maybe the data is different. Wait, maybe the numbers are: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4, and maybe some others? Wait the original problem's data: let's check the left - hand side again. The user provided data: "Broken plates per shipment" with numbers: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4. So that's 17 numbers.

Wait, maybe I made a mistake in the category. Wait 30 - 39: let's check each number:

- 1: 0 - 9
- 4: 0 - 9
- 8: 0 - 9
- 8: 0 - 9
- 9: 0 - 9
- 10: 10 - 19
- 11: 10 - 19
- 14: 10 - 19
- 16: 10 - 19
- 19: 10 - 19
- 27: 20 - 29
- 35: 30 - 39
- 35: 30 - 39
- 40: 40 - 49
- 42: 40 - 49
- 47: 40 - 49
- 47: 40 - 49

So the count for 30 - 39 is 2? But that seems odd. Wait, maybe the data was written incorrectly? Wait, maybe the numbers are: 42, 19, 10, 40, 14, 8, 8, 35, 35, 47, 47, 1, 11, 9, 27, 16, 4, and also 39? No, the data as given doesn't have 39. Wait, but the histogram's 40 - 49 bar: let's check the count for 40 - 49. Numbers: 40,42,47,47. Count: 4. Which matches the height of the 40 - 49 bar (looking at the y - axis, the 40 - 49 bar has a height that corresponds to 4? Wait, the y - axis is "Number of shipments" with labels 0,1,2,3,4,5. Wait, the 0 - 9 bar: height 5 (since count is 5), 10 - 19 bar: height 5 (count 5), 20 - 29 bar: height 1 (count 1), 40 - 49 bar: height 4 (count 4). So the missing bar is 30 - 39, with count 2. So the height of the 30 - 39 bar should be 2 (since there are 2 shipments with broken plates in the 30 - 39 range).

Step2: Set the height of the bar

Since the number of shipments with broken plates in the 30 - 39 range is 2, we set the height of the 30 - 39 bar to 2 (aligning with the y - axis scale where each unit on the y - axis represents the number of shipments).

Answer:

The height of the missing (30 - 39) bar should be set to 2 (corresponding to 2 shipments with broken plates in the 30 - 39 range).