Mental Fatigue Index Calculator

Mental Fatigue Index Calculator computes a 0–100 fatigue score using sleep quality, workload, stress, and screen time for personal well-being assessment.

Sleep Quality Score (0–10):

Workload Score (0–10):

Stress Level Score (0–10):

Screen Time (hours/day):

Formulas Used in Mental Fatigue Index Calculator

The calculator uses the following formula to estimate mental fatigue:

Mental Fatigue Index (MFI):

\\[ \text{MFI} = w_s \cdot (10 – S) \cdot 10 + w_w \cdot W \cdot 10 + w_t \cdot T \cdot 10 + w_c \cdot \frac{C}{16} \cdot 100 \\]

Where:

\\( S \\): Sleep quality score (0–10, higher is better)
\\( W \\): Workload score (0–10, higher is more intense)
\\( T \\): Stress level score (0–10, higher is more stress)
\\( C \\): Screen time (hours/day, 0–24)
\\( w_s, w_w, w_t, w_c \\): Weights (0.3, 0.3, 0.3, 0.1)
\\( \text{MFI} \\): Mental Fatigue Index (0–100)

Example Calculations

Example 1: Balanced Case

Input: Sleep Quality = 7, Workload = 6, Stress = 5, Screen Time = 8 hours

\\[ \text{MFI} = 0.3 \cdot (10 – 7) \cdot 10 + 0.3 \cdot 6 \cdot 10 + 0.3 \cdot 5 \cdot 10 + 0.1 \cdot \frac{8}{16} \cdot 100 \approx 47.50 \\]

Result: MFI = 47.50 (Moderate), Sleep Contribution = 9, Workload = 18, Stress = 15, Screen = 5.50

Example 2: High Fatigue Case

Input: Sleep Quality = 4, Workload = 9, Stress = 8, Screen Time = 12 hours

\\[ \text{MFI} = 0.3 \cdot (10 – 4) \cdot 10 + 0.3 \cdot 9 \cdot 10 + 0.3 \cdot 8 \cdot 10 + 0.1 \cdot \frac{12}{16} \cdot 100 \approx 73.50 \\]

Result: MFI = 73.50 (High), Sleep Contribution = 18, Workload = 27, Stress = 24, Screen = 7.50

Example 3: Low Fatigue Case

Input: Sleep Quality = 9, Workload = 3, Stress = 2, Screen Time = 4 hours

\\[ \text{MFI} = 0.3 \cdot (10 – 9) \cdot 10 + 0.3 \cdot 3 \cdot 10 + 0.3 \cdot 2 \cdot 10 + 0.1 \cdot \frac{4}{16} \cdot 100 \approx 20.50 \\]

Result: MFI = 20.50 (Low), Sleep Contribution = 3, Workload = 9, Stress = 6, Screen = 2.50

Formulas Used in Mental Fatigue Index Calculator

Example Calculations

More Related To Meditation Session Optimizer Calculator