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name 4.4 class work period find the mean, median, and mode for each dat…

Question

name
4.4 class work
period
find the mean, median, and mode for each data set. you must show your work

  1. 4,8,2,9,12,3,4,10,9,4,8,4,5,6,7

mean:____median:__mode:__range:____

  1. 6.7,6.5,6.5,6.4,6.7,6.3,6.7,6.9,6.2

mean:____median:__mode:__range:____

  1. 99,78,95,100,98,94,93,93,102,94,95,93

mean:____median:__mode:__range:____

  1. 12.5,10,14.6,10.4,13.1,15.6,11.7

mean:____median:__mode:__range:____

  1. yaritza has test scores in her cooking class of 85,92,99,100, and 95. what will her next score have to be if she wants to have a test average of 94 after all 6 tests?

Explanation:

Step1: Calculate the total sum of the first 5 scores

The sum of the first 5 scores is \(85 + 92+99 + 100+95=471\).

Step2: Calculate the total sum of 6 scores for an average of 94

Since the formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), and \(n = 6\), \(\bar{x}=94\), then the total sum of 6 scores is \(94\times6 = 564\).

Step3: Find the sixth score

Let the sixth score be \(x\). We know that \(471+x=564\). Solving for \(x\), we get \(x=564 - 471\).

Answer:

\(93\)