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: 15, 27, 48, 44, 16, 9, 41, 0, 46, 31, 15, 38, 6, 47, 6, 21, 35. click to set the height of a missing bar. histogram with x - axis: number of broken plates (0 - 9, 10 - 19, 20 - 29, 30 - 39, 40 - 49) and y - axis: number of shipments

Explanation:

Step1: Identify data for 0 - 9 range

First, we look at the data values for broken plates per shipment and count how many fall into the 0 - 9 range. The data points are: 15, 27, 48, 44, 16, 9, 41, 0, 46, 31, 15, 38, 6, 47, 6, 21, 35. Now we filter the values between 0 and 9 (inclusive). The values are 0, 6, 6, 9. Wait, wait, let's check again. Wait the data list: let's list all the numbers: 15, 27, 48, 44, 16, 9, 41, 0, 46, 31, 15, 38, 6, 47, 6, 21, 35. Now numbers in 0 - 9: 0, 6, 6, 9. Wait, that's 4 values? Wait no, wait the first column (broken plates per shipment) has: 15, 27, 48, 44, 16, 9, 41, 0, 46, 31, 15, 38, 6, 47, 6, 21, 35. Wait let's count again: 0 (1), 6 (2), 6 (3), 9 (4). Wait but maybe I missed? Wait no, 0 is one, 6 is two, another 6 is three, 9 is four. Wait but the histogram's 0 - 9 bar: let's check the other bars. Wait the 20 - 29 bar: let's see data in 20 - 29: 27, 21. Wait no, 20 - 29: 21, 27. Wait that's two? Wait no, 21 and 27 are in 20 - 29 (20 ≤ x < 30). So 21, 27: two values? But the 20 - 29 bar in the histogram has height 2? Wait the y - axis is number of shipments. Wait the 30 - 39 bar: data in 30 - 39: 31, 38, 35. That's three values. The 40 - 49 bar: 48, 44, 41, 46, 47. Wait 48, 44, 41, 46, 47: that's five values? Wait the 40 - 49 bar in the histogram has height 5? Wait the 10 - 19 bar: data in 10 - 19: 15, 16, 15. That's three values. Wait the 0 - 9 bar: data in 0 - 9: 0, 6, 6, 9. That's four values? Wait no, wait 0 is 0 - 9, 6 is 0 - 9, another 6 is 0 - 9, 9 is 0 - 9. So that's 4 values. Wait but let's re - list all data points:

1. 15 (10 - 19)
2. 27 (20 - 29)
3. 48 (40 - 49)
4. 44 (40 - 49)
5. 16 (10 - 19)
6. 9 (0 - 9)
7. 41 (40 - 49)
8. 0 (0 - 9)
9. 46 (40 - 49)
10. 31 (30 - 39)
11. 15 (10 - 19)
12. 38 (30 - 39)
13. 6 (0 - 9)
14. 47 (40 - 49)
15. 6 (0 - 9)
16. 21 (20 - 29)
17. 35 (30 - 39)

Now let's count per interval:

• 0 - 9: 0, 9, 6, 6 → 4 shipments
• 10 - 19: 15, 16, 15 → 3 shipments
• 20 - 29: 27, 21 → 2 shipments
• 30 - 39: 31, 38, 35 → 3 shipments
• 40 - 49: 48, 44, 41, 46, 47 → 5 shipments

Wait the histogram: the 10 - 19 bar has height 3, 20 - 29 has height 2, 30 - 39 has height 3, 40 - 49 has height 5. So the 0 - 9 bar should have height 4. Wait but the problem says "Click to set the height of a missing bar" (the 0 - 9 bar). So we need to count the number of data points in 0 - 9, which is 4. So the height of the 0 - 9 bar should be 4.

Step2: Confirm the count

Re - check the data points in 0 - 9: 0 (1), 6 (2), 6 (3), 9 (4). Yes, that's 4 shipments. So the missing bar (0 - 9) should have a height of 4.

Answer:

The height of the missing (0 - 9) bar is 4.