Answer:
Step-by-step explanation:
League A League B
151.12 163.25
148 157
26.83 24.93
29 136
136 145
167 178
207 256
League A in ascending order :
26.83 , 29 , 136, 148 , 151.12 , 167,207
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=148
Standard deviation==
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 26.83 , 29 , 136, 148
n = 4
Q1=82.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 148 , 151.12 , 167,207
n = 4
Q3=159.06
IQR = Q3-Q1=159.06-82.5=76.56
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
(-32.34,273.9)
So, There is no outlier
Maximum = 207
2)
League B in ascending order :
24.93,136,145,157,163.25,178,256
Median = Mid value of data
n = 7
So, mid value = 4th term
Median=157
Standard deviation==
To Find Q1
Q1 is the mid value of lower quartile
Lower quartile : 24.93,136,145,157
n = 4
Q1=140.5
To Find Q3
Q3 is the mid value of upper quartile
Upper quartile : 157,163.25,178,256
n = 4
Q3=170.625
IQR = Q3-Q1=170.625-140.5=30.125
To find outlier
(Q1-1.5IQR ,Q3+1.5IQR)
(95.3125,215.8125)
24.93 and 256 are outliers
Maximum = 256