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8 Cards in this Set
- Front
- Back
- 3rd side (hint)
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Sum of arithmeric and geometric series |
Arithmetic series Term 1=a, difference=d Term n= a+(n-1)d Sn=n/2{2a+(n-1)d} Geometric series Term 1=a, ratio=r, Term n=a×rⁿ-¹ Sum=a×(rⁿ-1)/(r-1) |
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If set S consists of the numbers n, -2 and 4, Is the mean of set S greater than the median of set S? (1) n>2 (2) n<3 |
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List A contains 5 positive integers and the average of the integers in the list is 7. If the integers 6, 7 and 8 are in list A, what is the range of list A? (1) The integer 3 is in list A (2) the largest term in list A is greater than 3 times and less than 4 times the size of the smallest term. |
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Three Sisters have an average age of 25 years and median age of 24 years what is the minimum possible age, in years, of the oldest sister? |
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To minimize the largest we will place the youngest sister as close to mean as possible but not higher than median because then median will shift which is not allowed. |
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Is mean greater than median in a positively skewed distribution? |
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Jake 51 Keri 63 Luke 15 Mia 38 Nora 22
The table above shows the number of points held by 5 players of a certain game. If the integer number of Keri's points were taken from her and given to Luke, and the median score of the five players increased, how many points were transferred from Keri to Luke? |
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To increase the median, one of the numbers lower than median should increase to a number higher than median. In this case the number increasing thus is Luke's which is the lowest here, but it is more convenient to increase a number only slightly lower than median. |
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Set S contains hundred consecutive integers. If the range of the negative elements of set S equals 80, what is the average of the positive numbers in the set? |
Qsn asks about average of only positive numbers in the set.
Highest negative integer is - 1 and lowest positive integer is 1. Range of negative integers in the set is 80 therefore H-L=80 or L=-1-80=-81 -81..........-1,0,1,......H. H=100-number of negative integers -1 for zero=100-81-1=18 Average of positive numbers = (L+H)/2=(1+18)/2=9.5
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