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PLS HELP DUE TODAY!Find the mean, median, mode, and range of each set of data round answers to the nearest hundredth 0,3,2,1,7,4,3,2,1,1,1,0,2,3,0,2,6,2Second question:Find the mean, median, mode, and range of each set of data round answers to the nearest hundredth 3,2,2,1,0,0,5,3,1,0,1,0,2,6,3,2,3

Sagot :

To answer this question, we (first) need to order the data from the least to the greatest element of this set:

[tex]l=\mleft\lbrace0,3,2,1,7,4,3,2,1,1,1,0,2,3,0,2,6,2\mright\rbrace[/tex]

If we order in that mentioned way, we have (this is done, mostly to find the median):

[tex]l=\mleft\lbrace0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,6,7\mright\rbrace[/tex]Median

To find the median of this data, we need to find the value for which 50% of the data are below this value, and above this value - it is a central value. We have 18 elements:

0,0,0,1,1,1,1,2,2,2,2,2,3,3,3,4,6,7

Since we have an even number of elements, we need to find the "average" of both central numbers:

[tex]Median=\frac{2+2}{2}\Rightarrow Median=2[/tex]

Therefore, the median is equal to 2.

Mode

The mode is the element that is more founded into the set of numbers. In this case, if we look carefully at the data, we have that this value is 2 because we have 5 cases in which 2 appears in that set of data.

Mean

To find the mean, we need to sum each of the elements in the set of data, and then divide that result by the number of data - in this case, we have 18 elements. Then, we have:

[tex]Mean=\frac{(0+0+_{}0+1+1+1+1+2+2+2+2+2+3+3+3+4+6+7)}{18}[/tex][tex]\text{Mean}=\frac{40}{18}\Rightarrow Mean=2.22222222222\ldots[/tex]

If we round the mean to the nearest hundredth, we have that the mean = 2.22.

Range

The range is the difference between the maximum value and minimum value of the set of data, and we have:

Minimum = 0

Maximum = 7

Therefore, the range is equal to R = (7 - 0) ---> Range = 7.

In summary, for this set of data, we have that:

• Mean = 2.22 (rounded to the nearest hundredth)

,

• Median = 2 (2.00 rounded to the nearest hundredth)

,

• Mode = 2 (2.00 rounded to the nearest hundredth)

,

• Range = 7 (7.00 rounded to the nearest hundredth)

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