Math Problem Statement

In a study of author productivity, a large number of authors were classified according to the number of articles they had published during a certain period. The results were presented in the accompanying frequency distribution:

Number of papers

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

Frequency  

716

204

127

50

33

28

19

19

6

7

6

7

4

4

5

3

3

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Frequency Distribution
Measures of Central Tendency
Weighted Average

Formulas

Total authors (N) = sum of frequencies
Mode = most frequent value
Median position = (N + 1) / 2
Mean = (sum of x * f) / N

Theorems

Median theorem
Mode concept
Mean calculation for frequency distribution

Suitable Grade Level

Grades 10-12