MAD = 12 ÷ 5 = 2.4

Sort: 12, 12, 14, 14, 15, 18, 20 Middle value (4th) = 14

Most frequent = 12 and 14 (both appear twice) → Bimodal

|10-14| = 4 |12-14| = 2 |14-14| = 0 |16-14| = 2 |18-14| = 4 Sum = 4+2+0+2+4 = 12

Sum = 12+15+14+12+18+20+14 = 105 Count = 7 Mean = 105 ÷ 7 = 15

IQR = 14 Problem Type 3: Mean Absolute Deviation (MAD) Data Set: 10, 12, 14, 16, 18

Min=5, Q1=7.5, Median=15, Q3=21.5, Max=25

Mean=15, Median=14, Modes=12 & 14, Range=8 Problem Type 2: Interquartile Range (IQR) & Box Plot Data Set: 5, 7, 8, 12, 15, 18, 21, 22, 25

Sorted already. n=9 Median (Q2) = 15 (5th value) Lower half (first 4): 5,7,8,12 → Q1 = (7+8)/2 = 7.5 Upper half (last 4): 18,21,22,25 → Q3 = (21+22)/2 = 21.5

IQR = Q3 – Q1 = 21.5 – 7.5 = 14

Max – Min = 20 – 12 = 8

Mean = (10+12+14+16+18)/5 = 70/5 = 14