Bar graph displaying food consumption data for Emily, Ava, and Andy, with questions on statistical measures.

Let's solve each question step by step using the bar graph titled "Food Consumed This Summer".

Step 1: Extract Data from the Bar Graph

We’ll read the values for each person and food item:

| Food | Emily | Ava | Andy |
|-------------|-------|------|------|
| Tea | 25 | 15 | 19 |
| Coffee | 25 | 10 | 20 |
| Sandwich | 5 | 17 | 22 |

Now, let’s answer each question one by one.

---

Question 1: Tea and sandwich eaten by Andy this summer.

Andy’s data:
- Tea: 19
- Sandwich: 22

So, the dataset is: [19, 22]

#### Mean:
$$
\text{Mean} = \frac{19 + 22}{2} = \frac{41}{2} = 20.5
$$

#### Median:
Sorted: [19, 22] → Middle value (average of two middle numbers since even count):
$$
\text{Median} = \frac{19 + 22}{2} = 20.5
$$

#### Mode:
No repeated values → No mode (or "none")

#### Range:
$$
\text{Range} = 22 - 19 = 3
$$

✔ Answer 1:
- Mean: 20.50
- Median: 20.50
- Mode: None
- Range: 3.00

---

Question 2: Coffee and sandwich eaten by Emily this summer.

Emily’s data:
- Coffee: 25
- Sandwich: 5

Dataset: [25, 5]

#### Mean:
$$
\frac{25 + 5}{2} = \frac{30}{2} = 15.0
$$

#### Median:
Sorted: [5, 25] → Average = $ \frac{5 + 25}{2} = 15.0 $

#### Mode:
No repeats → None

#### Range:
$$
25 - 5 = 20
$$

✔ Answer 2:
- Mean: 15.00
- Median: 15.00
- Mode: None
- Range: 20.00

---

Question 3: Tea and sandwich eaten by Ava this summer.

Ava’s data:
- Tea: 15
- Sandwich: 17

Dataset: [15, 17]

#### Mean:
$$
\frac{15 + 17}{2} = \frac{32}{2} = 16.0
$$

#### Median:
Sorted: [15, 17] → $ \frac{15 + 17}{2} = 16.0 $

#### Mode:
No repeats → None

#### Range:
$$
17 - 15 = 2
$$

✔ Answer 3:
- Mean: 16.00
- Median: 16.00
- Mode: None
- Range: 2.00

---

Question 4: Tea, coffee, and sandwich eaten by all three this summer.

Now we are considering all three people, across all three foods.

We need to list all individual food consumption values from all three people.

So, collect all 9 values:

From Tea:
- Emily: 25
- Ava: 15
- Andy: 19

From Coffee:
- Emily: 25
- Ava: 10
- Andy: 20

From Sandwich:
- Emily: 5
- Ava: 17
- Andy: 22

So full dataset:
[25, 15, 19, 25, 10, 20, 5, 17, 22]

Now sort it in ascending order:
[5, 10, 15, 17, 19, 20, 22, 25, 25]

#### Mean:
Sum = 5 + 10 + 15 + 17 + 19 + 20 + 22 + 25 + 25 =
= 5 + 10 = 15
+15 = 30
+17 = 47
+19 = 66
+20 = 86
+22 = 108
+25 = 133
+25 = 158

Number of values = 9
$$
\text{Mean} = \frac{158}{9} \approx 17.555... \approx \boxed{17.56}
$$

#### Median:
Middle value (5th in ordered list of 9):
[5, 10, 15, 17, 19, 20, 22, 25, 25] → 19

#### Mode:
Most frequent value → 25 appears twice, others once → Mode = 25

#### Range:
$$
\text{Range} = 25 - 5 = 20
$$

✔ Answer 4:
- Mean: 17.56
- Median: 19.00
- Mode: 25
- Range: 20.00

---

✔ Final Answers:

1. Tea and sandwich eaten by Andy:
- Mean: 20.50
- Median: 20.50
- Mode: None
- Range: 3.00

2. Coffee and sandwich eaten by Emily:
- Mean: 15.00
- Median: 15.00
- Mode: None
- Range: 20.00

3. Tea and sandwich eaten by Ava:
- Mean: 16.00
- Median: 16.00
- Mode: None
- Range: 2.00

4. All food eaten by all three:
- Mean: 17.56
- Median: 19.00
- Mode: 25
- Range: 20.00

Let me know if you'd like a printed version or explanation for any specific part!