A car covers a distance of 10km at 2hr. what is the average speed. Simplify (2 1/3 + 6 2/5) divided by (1 3/4 - 1/6). Write out the following formulae under cosine rule: i. sides ii. Angles

The mean $\bar{x}$ is $\bar{x} = \frac{\sum x_i}{n}$.

Data set: $2, 6, 10, 6, 6, 2$.

$$\sum x_i = 2 + 6 + 10 + 6 + 6 + 2$$

First, $2 + 6 = 8$.

Then, $8 + 10 = 18$.

Then, $18 + 6 = 24$.

Then, $24 + 6 = 30$.

Then, $30 + 2 = 32$.

$$n = 6.$$ $$\bar{x} = \frac{32}{6} = \frac{16}{3}.$$

Arrange data in ascending order: $2, 2, 6, 6, 6, 10$.

Number of data points $n = 6$ (even).

Median is average of $3^{\text{rd}}$ and $4^{\text{th}}$ values: 6 and 6.

$$\text{Median} = \frac{6 + 6}{2} = 6.$$

2 appears 2 times, 6 appears 3 times, 10 appears 1 time.

Mode is 6 (highest frequency).

Final answers: Mean = $\dfrac{16}{3}$, Median = 6, Mode = 6.

$$\boxed{\text{mean = }\dfrac{16}{3},\ \text{median = 6},\ \text{mode = 6}}$$