Could you please show your work
1) For a normal distribution with a mean of 30 and a standard deviation of 5, the probability of getting a value less than 20 or greater tahn 35 is
2)On a recent test, scores of 54 and 64 corresponded to z-scores of -1.0 and 1.5 respectively. Find the class mean and average.
3)the marks of 1200 students who wrote a Math diploma exam are normally distributed. The diagram below indicates 169 students had a mark above a particular z-score. The z-score is
4)Determine the mean and standard deviation for each set of sport data
a. 72,74,73,76,74,71,75,76,72,77
b.(100m dash (sec)) 10.8,10.6,10.8,9.9,10.2,10.3,10.4,10
1) For a normal distribution with a mean of 30 and a standard deviation of 5, the probability of getting a value less than 20 or greater tahn 35 is
2)On a recent test, scores of 54 and 64 corresponded to z-scores of -1.0 and 1.5 respectively. Find the class mean and average.
3)the marks of 1200 students who wrote a Math diploma exam are normally distributed. The diagram below indicates 169 students had a mark above a particular z-score. The z-score is
4)Determine the mean and standard deviation for each set of sport data
a. 72,74,73,76,74,71,75,76,72,77
b.(100m dash (sec)) 10.8,10.6,10.8,9.9,10.2,10.3,10.4,10
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4)Determine the mean and standard deviation for each set of sport data
a. 72,74,73,76,74,71,75,76,72,77
Data: 71, 72{2}, 73, 74{2}, 75, 76{2}, 77
n= 10; Σx= 740; Σx²= 54796; Σx³= 4060232; Σx^4= 301048804
σ= 1.897366596; σn-1= 2; Variance=σ²= 3.6; (σn-1)²= 4; CV% = 2.6%
Mean(μ)= 74; range= 6; mid-range= 74; median= 74; No Mode
Five number summary: Q0= 71, Q1= 72, Q2= 74, Q3= 76, Q4= 77, IQR= 4
b.(100m dash (sec)) 10.8,10.6,10.8,9.9,10.2,10.3,10.4,10
Data: 9.9, 10, 10.2, 10.3, 10.4, 10.6, 10.8{2}
n= 8; Σx= 83; Σx²= 861.94; Σx³= 8959.538; Σx^4= 93218.5042
σ= 0.319178633; σn-1= 0.341216312; Variance=σ²= 0.101875; (σn-1)²= 0.116428571; CV% = 3.1%
Mean(μ)= 10.375; range= 0.9; mid-range= 10.35; median= 10.35; Mode= 10.8
Five number summary: Q0= 9.9, Q1= 10.1, Q2= 10.35, Q3= 10.7, Q4= 10.8, IQR= 0.6
a. 72,74,73,76,74,71,75,76,72,77
Data: 71, 72{2}, 73, 74{2}, 75, 76{2}, 77
n= 10; Σx= 740; Σx²= 54796; Σx³= 4060232; Σx^4= 301048804
σ= 1.897366596; σn-1= 2; Variance=σ²= 3.6; (σn-1)²= 4; CV% = 2.6%
Mean(μ)= 74; range= 6; mid-range= 74; median= 74; No Mode
Five number summary: Q0= 71, Q1= 72, Q2= 74, Q3= 76, Q4= 77, IQR= 4
b.(100m dash (sec)) 10.8,10.6,10.8,9.9,10.2,10.3,10.4,10
Data: 9.9, 10, 10.2, 10.3, 10.4, 10.6, 10.8{2}
n= 8; Σx= 83; Σx²= 861.94; Σx³= 8959.538; Σx^4= 93218.5042
σ= 0.319178633; σn-1= 0.341216312; Variance=σ²= 0.101875; (σn-1)²= 0.116428571; CV% = 3.1%
Mean(μ)= 10.375; range= 0.9; mid-range= 10.35; median= 10.35; Mode= 10.8
Five number summary: Q0= 9.9, Q1= 10.1, Q2= 10.35, Q3= 10.7, Q4= 10.8, IQR= 0.6