When the following observations are arranged in ascending order:
17; 14; k-5; 17; k+1; 2k-13; 30; 32; 34; 2k+3.
The median of the data is 24. What is the value of the 3rd, 5th, 6th and 10th

To find the value of the 3rd, 5th, 6th, and 10th observations, we need to arrange the given data in ascending order and use the fact that the median of the data is 24.

### Given Observations:
1. \(17\)
2. \(14\)
3. \(k - 5\)
4. \(17\)
5. \(k + 1\)
6. \(2k - 13\)
7. \(30\)
8. \(32\)
9. \(34\)
10. \(2k + 3\)

### Median Information:
The median of the data is 24. Since there are 10 data points, the median will be the average of the 5th and 6th observations after arranging them in ascending order.

Let's arrange the data and solve for \(k\).

### Step 1: Arrange in Ascending Order
We know the median is 24, so:

\[
\text{Median} = \frac{\text{5th observation} + \text{6th observation}}{2} = 24
\]

This implies:

\[
\text{5th observation} + \text{6th observation} = 48
\]

### Step 2: Determine the Positions of Each Expression
We need to order the expressions involving \(k\). Let's analyze and solve for \(k\).It seems there was an error in the code. Let me correct that and proceed with solving for \(k\).It seems like I can’t do more advanced data analysis right now. Please try again later. If you'd like, I can guide you through solving this manually or help with other questions!

Explore how to calculate the order of observations and median calculation with a step-by-step solution. Given data and the median value are used to determine specific observation values. Suitable for high school level students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation