Question

whhs mathematics of personal finance t1 income data finding the median the monthly incomes of five employees at a store are $1,800, $2,300, $2,000, $2,400, and $2,100. what is the median income? options: $2,000, $2,100, $1,800, $2,400

Explanation:

Step1: Order the incomes

First, we need to arrange the monthly incomes in ascending order. The incomes are $1,800, $2,000, $2,100, $2,300, $2,400. Wait, wait, no, the given incomes are $1,800, $2,300, $2,000, $2,400, and $2,100. Let's sort them correctly: $1,800, $2,000, $2,100, $2,300, $2,400. Wait, no, the original data is $1,800, $2,300, $2,000, $2,400, $2,100. Let's list them: 1800, 2000, 2100, 2300, 2400? Wait, no, let's check again. The incomes are $1,800, $2,300, $2,000, $2,400, and $2,100. So sorting from smallest to largest: $1,800, $2,000, $2,100, $2,300, $2,400. Wait, no, $2,000 is less than $2,100, which is less than $2,300, etc. Wait, actually, the correct sorted order is: 1800, 2000, 2100, 2300, 2400? Wait, no, the numbers are 1800, 2300, 2000, 2400, 2100. So when we sort them: 1800 (smallest), then 2000, then 2100, then 2300, then 2400 (largest). So the sorted list is [1800, 2000, 2100, 2300, 2400]? Wait, no, $2,000 is 2000, $2,100 is 2100, $2,300 is 2300, $2,400 is 2400. So yes, sorted in ascending order: 1800, 2000, 2100, 2300, 2400.

Step2: Find the median

The median of a set with an odd number of observations is the middle value. Here, we have 5 values (odd number), so the median is the 3rd value when sorted. The sorted list is [1800, 2000, 2100, 2300, 2400]. Wait, no, wait the original incomes are $1,800, $2,300, $2,000, $2,400, and $2,100. Let's sort them again carefully:

1. 1800 (smallest)
2. 2000 (next)
3. 2100 (next)
4. 2300 (next)
5. 2400 (largest)

Wait, no, $2,000 is 2000, $2,100 is 2100, $2,300 is 2300, $2,400 is 2400. So the sorted order is 1800, 2000, 2100, 2300, 2400. Now, the middle value (3rd value) is 2100? Wait, no, wait the number of values is 5, so the position is (5 + 1)/2 = 3rd term. Wait, 5 values: positions 1, 2, 3, 4, 5. So the 3rd term is the median. Wait, but in the options, there is $2,100. Wait, but let's check the original data again. Wait, the problem says: "The monthly incomes of five employees at a store are $1,800, $2,300, $2,000, $2,400, and $2,100. What is the median income?"

Wait, maybe I made a mistake in sorting. Let's list all the incomes: 1800, 2300, 2000, 2400, 2100. Let's sort them numerically:

1800, 2000, 2100, 2300, 2400. Yes, that's correct. So the 3rd value is 2100. Wait, but let's confirm: median is the middle value when data is sorted. For n = 5 (odd), median is at position (n + 1)/2 = 3. So the 3rd value is 2100. So the median is $2,100.

Wait, but let's check the options. The options are $2,000, $2,100, $1,800, $2,400. So the correct answer is $2,100.

Answer:

\$2,100