Question 8 Use the given data to complete the chart and create a modified box and whisker plot. Data: 0 , 0 , 1 , 2 , 3 , 4 , 5 , 5 , 6 , 6 , 8 , 9 , 10 , 13 , 14 , 14 , 15 , 15 , 28 , 37 0,0,1,2,3,4,5,5,6,6,8,9,10,13,14,14,15,15,28,37 Mean: Mean = ∑ 𝑋 𝑁 = 204 20 = 10.2 Mean= N ∑X ​ = 20 204 ​ =10.2 Mode: Mode = 0 , 5 , 6 , 14 , 15 ( each appears twice ) Mode=0,5,6,14,15(each appears twice) Q1 (First Quartile): 𝑄 1 = 1 4 ( 𝑁 + 1 ) = 1 4 ( 21 ) = 5.25 ≈ 5th data point = 4 Q1= 4 1 ​ (N+1)= 4 1 ​ (21)=5.25≈5th data point=4 Q2 (Median): 𝑄 2 = 𝑁 + 1 2 = 21 2 = 10.5 ≈ average of 10th and 11th data points = 6 + 8 2 = 7 Q2= 2 N+1 ​ = 2 21 ​ =10.5≈average of 10th and 11th data points= 2 6+8 ​ =7 Q3 (Third Quartile): 𝑄 3 = 3 ( 𝑁 + 1 ) 4 = 3 × 21 4 = 15.75 ≈ 16th data point = 14 Q3= 4 3(N+1) ​ = 4 3×21 ​ =15.75≈16th data point=14 IQR (Interquartile Range): 𝐼 𝑄 𝑅 = 𝑄 3 − 𝑄 1 = 14 − 4 = 10 IQR=Q3−Q1=14−4=10 Standard Deviation: Standard Deviation ≈ 9.38 Standard Deviation≈9.38 Here is the completed chart: Measure Value Mean 10.2 Mode 0, 5, 6, 14, 15 Q1 4 Q2 (Median) 7 Q3 14 IQR 10 SHOW ME THE BOX AND WHISKER PLOT