Pertanyaan

Tugas Tutorial Berikut adalah data perbandingan pertumbuhan ekonomi negara Indonesia dan salah satu Negara Maju dari tahun 2018-2021. Hitunglah simpangan baku sampel (s) dan koefisien yariasi dari masing-masing negara tersebut. Tahun & multicolumn(2)(|c|)( Retumbuhan Ekonomi (%) ) & Negara Maju & Indonesia 2018 & 2,6 & 8,2 2019 & 3,2 & 4,9 2020 & 2,0 & 4,8 2021 & 2,1 & 3,2

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Niraj elit ยท Tutor selama 8 tahun

Jawaban

### Simpangan baku sampel untuk Negara Maju adalah sekitar 0.55 dan koefisien variasi adalah sekitar 22.22\%. Simpangan baku sampel untuk Indonesia adalah sekitar 2.10 dan koefisien variasi adalah sekitar 39.81\%.

Penjelasan

## Step 1: Calculate the Sample Standard Deviation for Developed Countries### To calculate the sample standard deviation, we first find the mean of the economic growth rates for developed countries over the years 2018 to 2021. The growth rates are 2.6%, 3.2%, 2.0%, and 2.1%. The mean ( ) is calculated as follows: Next, we calculate the variance by finding the squared differences from the mean, summing them, and dividing by the number of observations minus one (n-1): The sample standard deviation ( ) is the square root of the variance: ## Step 2: Calculate the Coefficient of Variation for Developed Countries### The coefficient of variation (CV) is calculated as the ratio of the standard deviation to the mean, expressed as a percentage: ## Step 3: Calculate the Sample Standard Deviation for Indonesia### Similarly, calculate the mean for Indonesia's growth rates: 8.2%, 4.9%, 4.8%, and 3.2%. Calculate the variance: The sample standard deviation ( ) is: ## Step 4: Calculate the Coefficient of Variation for Indonesia### The coefficient of variation (CV) for Indonesia is: