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Answer:
Kindly check explanation
Step-by-step explanation:
Given :
A.)
Vehicle speeds on highway (9 vehicles) 74, 82, 67, 73, 65, 41, 74, 49, 85
Ordered data :
41, 49, 65, 67, 73, 74, 74, 82, 85
Sample size, n = 9
Median = 1/2 * (n +1) th term
Median = 1/2 * 10 = 5th term
Median value = 73
Midrange = (Maximum + minimum) / 2
Midrange = (85 + 41) / 2 = 126 / 2 = 63
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(41*49*65*67*73*74*74*82*85)^1/n
= 66.19
B.)
Sodium grams in canned soup (8 varieties)
X = 4.22, 3.60, 2.68, 2.75, 2.70, 4.17, 2.72, 4.29
Ordered data:
2.68, 2.70, 2.72, 2.75, 3.60, 4.17, 4.22, 4.29
Sample size, n = 8
Median = 1/2 * (n +1) th term
Median = 1/2 * 9 = 4.5th term
Median value = (2.75+ 3.6) / 2 = 3.175
Midrange = (Maximum + minimum) / 2
Midrange = (4.29 + 2.68) / 2 = 3.485
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(2.68*2.70*2.72*2.75*3.60*4.17*4.22*4.29)^1/8
= 3.32
C.)
Campus health center visits (12 students)
X : 1, 5, 6, 13, 2, 3, 1, 3, 3, 1, 4, 3
Ordered data :
1, 1, 1, 2, 3, 3, 3, 3, 4, 5, 6, 13
Sample size, n = 12
Median = 1/2 * (n +1) th term
Median = 1/2 * 13 = 6.5th term
Median value = 3
Midrange = (Maximum + minimum) / 2
Midrange = (1 + 13) / 2 = 7
Geometric mean : √(x1*x2*.. xn)^1/n
Geometric Mean:
(1*1*1*2* 3*3*3*3*4* 5*6*13)^1/12
= 2.82