Math Problem Statement

Hitunglah, media dan modus dan ganti nim menjadi 153

Hitunglah mean, median, dan modus dan ganti nim menjadi 153

Solution

To solve this problem, let's first extract the values for aa, bb, and cc based on the last three digits of the new NIM, which are 1, 5, and 3:

  • a=1a = 1
  • b=5b = 5
  • c=3c = 3

Now, let’s update the frequencies in the table based on these values:

  1. For the interval 60-69: 11+c=11+3=1411 + c = 11 + 3 = 14
  2. For the interval 70-79: 9+b=9+5=149 + b = 9 + 5 = 14
  3. For the interval 80-89: 8+a=8+1=98 + a = 8 + 1 = 9

Thus, the updated frequency table is:

Gaji Karyawan (millions)Frekuensi
30 - 393
40 - 495
50 - 5910
60 - 6914
70 - 7914
80 - 899
90 - 997
100 - 1094

Calculations

  1. Mean (Rata-rata): Mean=(xf)f\text{Mean} = \frac{\sum (x \cdot f)}{\sum f} where xx is the midpoint of each salary range, and ff is the frequency.

  2. Median: The median is the value at the midpoint of the cumulative frequency distribution.

  3. Mode (Modus): The mode is the salary range with the highest frequency.

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Math Problem Analysis

Mathematical Concepts

Statistics
Mean
Median
Mode
Frequency Distribution

Formulas

Mean = Σ(x * f) / Σf
Median formula for grouped data
Mode formula for grouped data

Theorems

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Suitable Grade Level

Grades 10-12