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leva [86]
3 years ago
12

The median of the set of prime numbers between 8 and 54 is

Mathematics
2 answers:
tino4ka555 [31]3 years ago
8 0

Answer: 30 I believe? :P

Step-by-step explanation: gather all prime numbers between 8 & 54 and find the number in the middle. in this case, there is an even amount of terms, so add the two middle numbers and divide by 2

soldier1979 [14.2K]3 years ago
3 0

Answer:

<em>median = 30</em>

Step-by-step explanation:

Given that the set includes all prime numbers between 8 and 54.

A prime number is only divisible by one and itself, so it only has a factor of 1 and itself. The prime numbers between these two numbers (8 and 54) include: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, and 53.

Since there is a total of 12 numbers, the median is the number that makes an even amount of numbers on each side, which would make the median between 12 numbers, the middle of the 6th and 7th.

6.5

1 2 3 4 5 6 | 7 8 9 10 11 12

^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^ ^

1 2 3 4 5 6 1 2 3 4 5 6

11 (1st), 13(2nd), <u>17(3rd)</u>, <u>19(4th)</u>, 23(5th), 29(6th), 31(7th), 37(8th), <u>41(9th)</u>, <u>43(10th)</u>, 47(11th), 53(12th).

This means the median, or the 2nd quartile of the quartiles is (18+42)/2 = 30 or 29+31/2 = 30.

18 30 42

11 13 17 | 19 23 29 | 31 37 41 | 43 47 53

^ ^ ^(Q1)^ ^ ^(Q2)^ ^ ^(Q3)^ ^ ^

1 2 3 4 5 6 1 2 3 4 5 6

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