A few days ago
Anonymous

What are the median, clusters and gaps of these numbers?

The numbers are 55, 44, 60, 54, 58, 66, 59, 12, 40, 41, 54, and 61. I know the mean, mode and range but not quite sure about the others. It is my daughter’s homework and she says you can ignore numbers not mentioned above. I don’t think so. So her mean is 55 and my mean is 39. Am I wrong?

Top 1 Answers
A few days ago
Anonymous

Favorite Answer

put the numbers in order

12 40 41 44 54 54 55 58 59 60 61 66

their sum is 604

there are 12 numbers in total

mean(aka average) = 604/12 = 50+1/3 ≈ 50.3

mode = 54 (ie most common value, it occurs twice)

range = 66 – 12 = 54

(ie difference between highest and lowest values)

median = (54 + 55)/2 = 54.5

(ie for an odd set of numbers it is the middle one, when they are in order

for an even set of numbers it is the average of the middle two, when they are in order)

clusters there are 3 of them

40 41

54 54 55

58 59 60 61

(ie groups of numbers in a row)

gaps there are five of them

between

12 & 40

41 & 44

44 & 54

55 & 58

61 & 66

(ie gaps are gaps literally)

.

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