Module 3, 4 & 5 Equations PDF
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Summary
This document contains formulas for various mathematical concepts, including arithmetic mean, median, mode, range, simple interest, compound interest, and EMI. The formulas are categorized by module (3, 4, and 5). It also provides formulas for both ungrouped and grouped data.
Full Transcript
# Module 5 ### Arithmetic mean: - **Ungrouped**: X = ΣX / N - **Grouped**: X = Σfx / Σf ### Median: - Middle value in arranged data - **Formula for Median:** - **Ungrouped**: Median = Size (n+1)/2 th item - **Continuous**: Median = Li + (n/2 - CF) / f * xi ### Mode: - Most Repeat...
# Module 5 ### Arithmetic mean: - **Ungrouped**: X = ΣX / N - **Grouped**: X = Σfx / Σf ### Median: - Middle value in arranged data - **Formula for Median:** - **Ungrouped**: Median = Size (n+1)/2 th item - **Continuous**: Median = Li + (n/2 - CF) / f * xi ### Mode: - Most Repeated Value - **Formula for Mode**: Mode = L + Δ1 / (Δ1 + Δ2) * i ### Range: - H - L - **Coefficient of Range**: (H-L) / (H+L) # Module 4 ### Simple Interest: - SI = PNR/100 - A = P + SI ### Compound Interest: - A = P(1 + R/100) ^ N - CI = A - P ### EMI: - PxRx (1+R) ^N / [(1+R) ^N - 1] # Module 3 ### Arithmetic Progression (AP) - **nth term**: an = a + (n-1)d - **Sum:** Sn = n/2 * (2a + (n-1)d) - **Sum of n terms:** Sn = n/2(a + l) ### Geometric Progression (GP) - **nth term:** an = ar ^ (n-1) - **Sum:** Sn = a(1 - r ^ n) / (1 - r) - **Sum of n terms:** Sn = a(r ^ n - 1) / (r - 1)
