Is f(x) a function on non-function? Is the graph of f(x) continuous on not continuous?

The data in ascending order is:
$\boxed{30, 30, 36, 39, 41, 43, 46, 48, 51, 52, 54, 54, 56, 56, 56, 56, 61, 63, 67, 70, 75, 76, 77, 83, 84, 90, 97}$

4.1.2. Determine the modal (mode) of the set of data.

The number 56 appears 4 times, which is more than any other number.
The mode is $\boxed{56}$.

4.1.3. Determine the mean of the set of data.

The mean is $\boxed{57.04}$ (rounded to two decimal places).

4.1.4. Determine the range of the set of data.

Maximum value = 97
Minimum value = 30

The range is $\boxed{67}$.

4.1.5. Determine the lower quartile ($Q_1$) and upper quartile ($Q_3$) of the set of data.

The 7th value in the sorted list is 46. So, $Q_1 = 46$.

The 21st value in the sorted list is 75. So, $Q_3 = 75$.
The lower quartile ($Q_1$) is $\boxed{46}$ and the upper quartile ($Q_3$) is $\boxed{75}$.

4.1.6. Determine the IQR and the semi-IQR of the set of data.

The IQR is $\boxed{29}$ and the semi-IQR is $\boxed{14.5}$.

4.2. A class writes a maths test and gets the following marks:

$34, 45, 15, 31, 27, 60, 38, 52, 26, 53, 64, 7, 10, 36, 23$

4.2.1. Draw a stem and leaf diagram.

$7, 10, 15, 23, 26, 27, 31, 34, 36, 38, 45, 52, 53, 60, 64$

Stems: 0, 1, 2, 3, 4, 5, 6

Stem | Leaf
-----|-----------------
0    | 7
1    | 0  5
2    | 3  6  7
3    | 1  4  6  8
4    | 5
5    | 2  3
6    | 0  4
Key: 0 | 7 = 7

The stem and leaf diagram is shown above.

4.3. The following breeds of dogs are at the SPCA:

Husky, Bulldog, Poodle, Husky, Poodle, Bulldog, Poodle, Boxer, Bulldog, Husky, Poodle, Husky, Boxer, Poodle, Poodle

• Husky: Appears 4 times
• Bulldog: Appears 3 times
• Poodle: Appears 6 times
• Boxer: Appears 2 times Total dogs: $4+3+6+2 = 15$

The total angle in a circle is $360^\circ$.

• Husky: $\frac{4}{15} \times 360^\circ = 96^\circ$
• Bulldog: $\frac{3}{15} \times 360^\circ = 72^\circ$
• Poodle: $\frac{6}{15} \times 360^\circ = 144^\circ$
• Boxer: $\frac{2}{15} \times 360^\circ = 48^\circ$

The completed frequency table and the angles for a pie chart are provided above.