Math Problem Statement

A doctor treated 24, 27, 31, 19, 26, 15, and 19 patients during the past 7 days. Which is the median number of patients treated by the doctor?

Solution

The problem asks for the median number of patients treated by a doctor over 7 days, given the following dataThe problem asks for the median number of patients treated by a doctor over 7 days, given the following 24, 27, 31, 19, 26, 15, and 19 patients.

To find the median:

  1. First, order the data in ascending order: 15, 19, 19, 24, 26, 27, 31.
  2. Since there are 7 numbers, the median will be the middle number, which is the 4th value in this ordered list.

The 4th number is 24.

So, the median number of patients treated by the doctor is 24.

Would you like a detailed explanation or have any questions?


Here are 5 related questions to expand your understanding:

  1. What is the mean of the same set of data?
  2. How do you calculate the mode of a data set?
  3. What happens to the median if one number in the set is doubled?
  4. How is the median affected in an even set of numbers?
  5. Can the median ever be larger than the maximum number in a set?

Tip: When calculating the median, always make sure the numbers are listed in order from least to greatest before identifying the middle value.

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Math Problem Analysis

Mathematical Concepts

Median
Ordering Data
Statistics

Formulas

Median: Middle value in a sorted data set

Theorems

Median is the middle number in a list ordered from least to greatest. If the list has an odd number of values, the median is the middle value.

Suitable Grade Level

Grades 6-8