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Question
prime numbers. are numbers that have more than two factors are numbers that have only two factors (1 and itself.) what is the prime factorization of 48 2 x 2 x 2 x 2 1 x 8 x 3 x 2 4 x 3 x 2 x 2 2 x 2 x 2 x 2 x 3 q2. answer the question for median. * 62, 10, 24, 24, 10, 62, 24, 10, 62, 62 mean: median: mode: range: 24 62 35 52
Step1: Define prime numbers
Prime numbers have only two factors (1 and itself).
Step2: Find prime - factorization of 48
We start by dividing 48 by the smallest prime number 2. $48\div2 = 24$, $24\div2=12$, $12\div2 = 6$, $6\div2=3$. So, $48=2\times2\times2\times2\times3$.
Step3: Find the median of the data - set
First, order the data - set: 10, 10, 10, 24, 24, 24, 62, 62, 62, 62. There are $n = 10$ data points. The median for an even - numbered data set is the average of the $\frac{n}{2}$th and $(\frac{n}{2}+1)$th ordered values. $\frac{n}{2}=5$ and $\frac{n}{2}+1 = 6$. The 5th value is 24 and the 6th value is 24. The median is $\frac{24 + 24}{2}=24$.
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