Math Problem Statement
A college basketball player scored the following points in the 37 games he played his senior year: Stem-and-leaf of points n = 37 Leaf Unit = 1.0
1 33 1 66 2 1233444 2 5555666789 3 0222233444 3 89 4 23 4 7 5 2
His median score is ____________ points.
Solution
To determine the median score of the player's points, we need to follow these steps:
Step 1: Arrange the Data in Ascending Order
The stem-and-leaf plot already provides the data sorted. Let's list out the points explicitly:
- 13, 16,
- 21, 22, 23, 24, 24, 24,
- 25, 25, 25, 25, 26, 26, 26, 27, 28, 29,
- 30, 30, 30, 32, 32, 33, 34, 34, 34,
- 38, 39,
- 42, 43,
- 47,
-
So, the ordered list is: 13, 16, 21, 22, 23, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 28, 29, 30, 30, 30, 32, 32, 33, 34, 34, 34, 38, 39, 42, 43, 47, 52
Step 2: Find the Median Position
The median is the middle value when the data is sorted. Since there are 37 scores, the median is at position:
Thus, the 19th value in the sorted list is the median.
Step 3: Identify the 19th Value
From the ordered list, counting to the 19th value gives:
30
Final Answer:
The median score is 30 points.
Would you like an explanation of finding medians in other scenarios? 😊
5 Related Questions:
- What is the mode of the data set?
- How do you calculate the mean of the scores from the given data?
- What percentage of the games had a score above the median?
- How do outliers impact measures of central tendency like the mean or median?
- What is the range of scores in the data set?
Tip:
Always double-check whether the number of data points is odd or even when finding the median! For even counts, take the average of the two middle values.
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Data Interpretation
Formulas
Median Position = (n + 1) / 2
Theorems
Concept of Median in Statistics
Suitable Grade Level
Grades 9-12