91影视

Arranging the data in ascending order,

(85,100,121,142,145,157,158,159,161,163,165,166,170,171,171,172,172,173,184,187,196)

$$\begin{gathered} Q1=\frac{N+1}{4}=\frac{21+1}{4}=\frac{22}{4}=5.5^{th}term=151 \\ Q2=\frac{N+1}{2}=\frac{21+1}{2}=\frac{22}{2}={11}^{th}term=165 \\ Q3=\frac{3\left(N+1\right)}{4}=\frac{3\left(21+1\right)}{4}=\frac{66}{4}=16.5^{th}term=172 \end{gathered}$$

IQR = Q_U 鈥� Q_L

= 172 鈥� 151

= 21

Lower Inner Fence = Q_L - 1.5(IQR)

= 151 鈥� 1.5(21)

= 151 鈥� 25.2

= 125.8

Upper Inner Fence = Q_U + 1.5(IQR)

= 172 + 1.5(21)

= 172 + 25.2

= 197.2

Median = 165, Q_U = 172, Q_L = 151, LIF = 125.8, UIF = 197.2

We will first arrange the data in ascending order,

(140,151,152,167,168,169,169,170,170,171,171,172,173,174,180,183,185,188,190,199,206)$$\begin{gathered} Q1=\frac{N+1}{4}=\frac{21+1}{4}=\frac{22}{4}=5.5^{th}term=168.5 \\ Q2=\frac{N+1}{2}=\frac{21+1}{2}=\frac{22}{2}={11}^{th}term=171 \\ Q3=\frac{3\left(N+1\right)}{4}=\frac{3\left(21+1\right)}{4}=\frac{66}{4}=16.5^{th}term=184 \end{gathered}$$

IQR = Q_U 鈥� Q_L

= 184 鈥� 168.5

= 15.5

Lower Inner Fence = Q_L - 1.5(IQR)

= 168.5 鈥� 1.5(15.5)

= 168.5 鈥� 23.25

= 145.25

Upper Inner Fence = Q_U + 1.5(IQR)

= 184 + 1.5(15.5)

= 184 + 23.25

= 207.25

Median = 171, Q_U = 184, Q_L = 168.5, LIF = 145.25, UIF = 207.25

Sample A = 85, 100, 121

Sample B = 140