Math Problem Statement

i want each poin be spesific

Determine the median number of calls, first and third quartiles, first decile and ninth decile, and the 33rd percentile for the given dataset of professor visits.

Solution

Here are the results for each of the questions:

a. Median number of calls: 59
The median is the middle value in the sorted dataset.

b. First and third quartiles:

  • First quartile (Q1): 52
  • Third quartile (Q3): 66
    These represent the 25th and 75th percentiles, respectively.

c. First decile and ninth decile:

  • First decile (D1): 48
  • Ninth decile (D9): 70.6
    These represent the 10th and 90th percentiles, respectively.

d. 33rd percentile: 54.86
This is the value below which 33% of the data falls.

Would you like further details or explanations? Here are some related questions to expand your understanding:

  1. How are percentiles and quartiles calculated from a data set?
  2. What is the significance of the interquartile range (Q3 - Q1)?
  3. Can you explain the difference between deciles, quartiles, and percentiles?
  4. How does the median compare to the mean in this data set?
  5. What can the spread of deciles tell you about the data distribution?

Tip: The interquartile range (IQR) is a helpful tool for understanding the spread of the middle 50% of your data!

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Math Problem Analysis

Mathematical Concepts

Statistics
Percentiles
Quartiles
Deciles
Median

Formulas

Median = (n+1)/2th value in sorted data
First Quartile (Q1) = 25th percentile
Third Quartile (Q3) = 75th percentile
First Decile (D1) = 10th percentile
Ninth Decile (D9) = 90th percentile
Percentile (P) = Pth percentile = (P/100) * (n+1)th value

Theorems

Percentile and Quartile Calculation Theorem

Suitable Grade Level

Grades 10-12