4 is the answer to this question
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Answer:
For part a)
130 = 10/2[2a+(10-1)d]
Simplify, u get
2a + 9d = 26.................(1)
Also U5 = a + (5-1)d = 3a
Simplify, u get
a= 2d...................(2)
Substituting for a in equation 1,
2(2d)+9d= 26
Solving for d, we get
d = 2
In part b) substituting for d in equation 2 to get the first term
a = 2(2) = 4
Part c) the no. of terms required can be obtained by solving
28 = 4+(n-1)2
n = 13
First arrange them in ascending order:-
17 20 24 25 30 32 35 38 40 42
The median = mean of middle 2 numbers = (30+32)/2 = 31
Lower quartile = 24 and upper quartile = 38
Inter quartile range = 38 - 24 = 14
Its the first choice.
