Math Problem Statement

The times (in minutes) taken by nine students to complete a statistics test are: 52, 47, 57, 33, 39, 43, 52, 46, and 36. The median for this data set is:

Solution

To find the median of the dataset, we need to follow these steps:

  1. Sort the data:
    The given times are: 52, 47, 57, 33, 39, 43, 52, 46, 36.
    When sorted in ascending order, the data becomes:
    33, 36, 39, 43, 46, 47, 52, 52, 57.

  2. Find the median:
    Since there are 9 data points (an odd number), the median is the middle value. The middle value is the 5th number in the sorted list.
    So, the median is 46.

Thus, the correct answer is 46.

Would you like more details or have any questions?

Here are some related questions:

  1. How do you find the mode in a data set?
  2. What is the difference between mean, median, and mode?
  3. How do you calculate the mean of this data set?
  4. What are quartiles in statistics, and how do they relate to the median?
  5. How would the median change if there were an even number of data points?

Tip: Sorting the data is essential for finding the median, so always make sure to organize the data first.

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Math Problem Analysis

Mathematical Concepts

Statistics
Median
Data Sorting

Formulas

Median = Middle value in a sorted data set

Theorems

Central Tendency

Suitable Grade Level

Grades 6-8