Math Problem Statement
What is the median and mean of the data set.
Solution
To calculate the mean and median of the data set provided in the image, I will first extract the numbers, organize them, and perform the calculations.
Extracted Data:
- Column 1: 253, 245, 175, 162, 210, 201, 236, 189, 246, 216, 213
- Column 2: 131, 213, 170, 188, 255, 267, 163, 241, 263, 269, 179
- Column 3: 304, 315, 323, 317, 290, 231, 262, 253, 245, 215, 225
Combined Data Set:
I will now calculate the mean and median. numpy as np
Data extracted from the image
data = [ 253, 245, 175, 162, 210, 201, 236, 189, 246, 216, 213, 131, 213, 170, 188, 255, 267, 163, 241, 263, 269, 179, 304, 315, 323, 317, 290, 231, 262, 253, 245, 215, 225 ]
Calculating the mean and median
mean_value = np.mean(data) median_value = np.median(data)
mean_value, median_value### Results:
- Mean: 232.27 (approx.)
- Median: 236.0
Would you like a step-by-step explanation of how these were calculated?
Here are some related questions for further exploration:
- How does the mean compare to the median in terms of distribution?
- What is the range of this data set?
- Can we calculate the standard deviation to analyze the data's spread?
- How would outliers (if present) affect the mean and median?
- What would the mode of the data set be?
Tip: The median is often a better measure than the mean in datasets with outliers or skewed distributions!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Statistics
Mean
Median
Formulas
Mean = Sum of all data points / Number of data points
Median = Middle value of the ordered data set (or average of two middle values if even number of points)
Theorems
-
Suitable Grade Level
Grades 9-12