Question

The lists show the heights, in inches, of a sample of 8 tulips and a sample of 8 daisies grown at Filigree Flower Farm.
Tulips
92015101712714
Daisies
1161024189215
Complete the table. Write your answers as whole numbers or decimals rounded to the nearest tenth.
Mean Mean absolute deviation
Tulips
13
3.5
Daisies 13

Answer 1

To complete the table, we first need to calculate the mean and the mean absolute deviation (MAD) for the daisy heights, and also confirm the calculations for the tulips.

### Heights:

**Tulips:**
9, 20, 15, 10, 17, 12, 7, 14
Total: 9 + 20 + 15 + 10 + 17 + 12 + 7 + 14 = 104
Mean (Tulips) = Total / Number of entries = 104 / 8 = **13.0**

**Daisies:**
11, 6, 10, 24, 18, 9, 21, 5
Total: 11 + 6 + 10 + 24 + 18 + 9 + 21 + 5 = 114
Mean (Daisies) = Total / Number of entries = 114 / 8 = **14.25** (which we will round to 14.3 when needed)

### Mean Absolute Deviation (MAD)

#### Tulips calculation:
1. Calculate the absolute deviations from the mean (which is 13):
- |9 - 13| = 4
- |20 - 13| = 7
- |15 - 13| = 2
- |10 - 13| = 3
- |17 - 13| = 4
- |12 - 13| = 1
- |7 - 13| = 6
- |14 - 13| = 1

Absolute deviations: 4, 7, 2, 3, 4, 1, 6, 1

2. Mean of the absolute deviations:
Total Absolute Deviations = 4 + 7 + 2 + 3 + 4 + 1 + 6 + 1 = 28
MAD (Tulips) = Total Absolute Deviations / Number of entries = 28 / 8 = **3.5**

#### Daisies calculation:
1. Calculate the absolute deviations from the mean (which is 14.25):
- |11 - 14.25| = 3.25
- |6 - 14.25| = 8.25
- |10 - 14.25| = 4.25
- |24 - 14.25| = 9.75
- |18 - 14.25| = 3.75
- |9 - 14.25| = 5.25
- |21 - 14.25| = 6.75
- |5 - 14.25| = 9.25

Absolute deviations: 3.25, 8.25, 4.25, 9.75, 3.75, 5.25, 6.75, 9.25

2. Mean of the absolute deviations:
Total Absolute Deviations = 3.25 + 8.25 + 4.25 + 9.75 + 3.75 + 5.25 + 6.75 + 9.25 = 50.5
MAD (Daisies) = Total Absolute Deviations / Number of entries = 50.5 / 8 = **6.3**

### Completed Table:

| | Mean | Mean Absolute Deviation |
|-------------------|------|-------------------------|
| **Tulips** | 13.0 | 3.5 |
| **Daisies** | 14.3 | 6.3 |

Thus, for the final answers, you round to the nearest tenth:

- Tulips:
- Mean = 13
- MAD = 3.5

- Daisies:
- Mean = 14.3
- MAD = 6.3

The table is now complete as shown.