Question

what is the range for the data: *
4, 1, 8, 2, 9, 10, 8, 15, 7

how do you find deviation? *
subtract the highest and lowest value.
data value minus mean
add all values and divide by how many values there are in the data.
highest plus lowest, then divide by 2

the average starting salary of an entry level manager at a company is *
$45,000. what is the deviation of $57,500?
-12,500
6,250
12,500
102,500

Explanation:

Step1: Find the range of the data

First, find the highest and lowest values in the data set \(4,1,8,2,9,10,8,15,7\). The highest value \(H = 15\), the lowest value \(L=1\). The range \(R=H - L\).
$$R=15 - 1=14$$

Step2: Determine the formula for deviation

The formula for deviation of a data value \(x\) from the mean \(\bar{x}\) is \(x-\bar{x}\). So for the second question, the correct option is "Data value minus mean".

Step3: Calculate the deviation of \(57500\)

Given the mean \(\bar{x} = 45000\) and the data value \(x = 57500\). Using the formula \(x-\bar{x}\), we have \(57500-45000 = 12500\)

Answer:

1. The range of the data is \(14\).
2. The correct option for "How do you find Deviation?" is "Data value minus mean".
3. The deviation of \(57500\) is \(12500\) (corresponding to the option \(+ 12500\))