Answered

At Westonci.ca, we provide clear, reliable answers to all your questions. Join our vibrant community and get the solutions you need. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Gabe is the human resources manager for the Advanced Scientific Research Lab. He has recorded the heights (in centimeters) and weights (in pounds) for each of the scientists in the lab.

| Height (cm) | 178 | 163 | 174 | 186 | 154 | 167 | 167 | 181 | 159 | 165 | 177 | 191 | 158 |
|-------------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| Weight (lbs)| 157 | 163 | 190 | 187 | 183 | 173 | 184 | 189 | 193 | 192 | 177 | 173 | 168 |

What are the medians for the height and weight distribution, respectively?

A. 170, 179
B. 183, 167
C. 167, 183
D. 179, 170
E. 165, 175

Sagot :

GinnyAnswer
To find the medians for the height and weight distributions, follow these steps:

### Step-by-step Solution

1. Collect the Data
- Heights (in centimeters): [tex]\(178, 163, 174, 186, 154, 167, 167, 181, 159, 165, 177, 191, 158\)[/tex]
- Weights (in pounds): [tex]\(157, 163, 190, 187, 183, 173, 184, 189, 193, 192, 177, 173, 168\)[/tex]

2. Sort the Data
- Heights: Sorted order: [tex]\(154, 158, 159, 163, 165, 167, 167, 174, 177, 178, 181, 186, 191\)[/tex]
- Weights: Sorted order: [tex]\(157, 163, 168, 173, 173, 177, 183, 184, 187, 189, 190, 192, 193\)[/tex]

3. Find the Median
- For an odd number of data points, the median is the middle value. In this case, both height and weight data have 13 points, which is odd.
- Median height: The 7th value in the sorted heights list is [tex]\(167\)[/tex].
- Median weight: The 7th value in the sorted weights list is [tex]\(183\)[/tex].

So, the correct medians for the height and weight distributions are:

- Median height: [tex]\(167\)[/tex]
- Median weight: [tex]\(183\)[/tex]

Therefore, the correct answer is:
C. [tex]\(167, 183\)[/tex]
We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.