2. the weekly salary for 10 people is given in the table. find: a. the mean salary. b. the median salary. c…

Explanation:

Step1: Calculate the sum of salaries

The sum of salaries is calculated as follows: [ \begin{align*} &2400\times1 + 900\times1+600\times3 + 500\times5\ =&2400+900 + 1800+2500\ =&7600 \end{align*} ]

Step2: Calculate the mean

The mean $\bar{x}=\frac{\text{Sum of salaries}}{\text{Total number of people}}$. There are $n = 1 + 1+3 + 5=10$ people. So, $\bar{x}=\frac{7600}{10}=760$.

Step3: Calculate the median

First, arrange the data in ascending - order. We have 1 value of 500, 1 value of 600, 1 value of 900, 1 value of 2400 and 5 values of 500. The ordered data set has 10 values. The median is the average of the 5th and 6th ordered values. Since the 5th and 6th values are both 500, the median is 500.

Step4: Determine the mode

The mode is the value that appears most frequently. The value 500 appears 5 times, which is more frequently than any other value, so the mode is 500.

Answer:

a. $760 b. $500 c. $500