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

March 18, 2026Mathematics

ScanSolve AI Answer

March 18, 2026

Answer

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

Step 1: Mean

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}.

Step 2: Median

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

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

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

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

Step 3: Mode

$2$ 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 = $6$ .

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

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Mean The mean x is x = ( x_i)/(n). Data set: 2, 6, 10, 6, 6, 2.

Asked on March 18, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 18, 2026

Step 1: Mean The mean x is x = ( x_i)/(n). Data set: 2, 6, 10, 6, 6, 2. 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. x = (32)/(6) = (16)/(3). Step 2: Median Arrange data in ascending order: 2, 2, 6, 6, 6, 10. Number of data points n = 6 (even). Median is average of 3^rd and 4^th values: 6 and 6. Median = (6 + 6)/(2) = 6. Step 3: Mode 2 appears 2 times, 6 appears 3 times, 10 appears 1 time. Mode is 6 (highest frequency). Final answers: Mean = (16)/(3), Median = 6, Mode = 6. mean = (16)/(3),\ median = 6,\ mode = 6