Middle School

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The median of the values of the data set is [tex]h[/tex]. If 625 were subtracted from each of the values in the data set, what would be the median of the resulting data?

A. [tex]h - 625[/tex]
B. [tex]625 - h[/tex]
C. [tex]h + 625[/tex]
D. [tex]625 \cdot h[/tex]

Answer :

Answer:

Hi!

The correct answer is A. h-625.

Step-by-step explanation:

If you have a dataset listed in ascending order:

[tex]A = \lbrace\ a_1, a_2, a_3,..., a_\frac{n}{2},..., a_n \rbrace[/tex]

[tex]median = a_\frac{n}{2}[/tex]

The value of the mean, if the dataset is even:

  • The value of that divides a data sample into two halves.

The value of the mean, if the dataset is odd:

  • The average of the two middle values that divide a data sample into two halves.

If we substract 625 to each value of the dataset:

[tex]A = \lbrace\ a_1 - 625, a_2 - 625, a_3 - 625,..., a_\frac{n}{2} - 625,..., a_n - 625 \rbrace[/tex]

[tex]median = a_\frac{n}{2} - 625[/tex]

The position of the middle value is the same before the subtraction of 625, then the median would be H - 625.

Thank you for reading the article The median of the values of the data set is tex h tex If 625 were subtracted from each of the values in the data. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!

Rewritten by : Jeany

Meanaverage:
add everything & divide by how many
Medianmiddle value (medium):
write data in order, find the middle value
if there are two middles, find their average
Modemost frequent value:
find the number you see the most number of times
Rangespread (or span) of the data:
max - min
subtract the maximum (biggest) value minus the minimum (smallest) value
Variationmeasures the spread of the data
(how far apart the data points are from the mean)
Symmetrical Graphthe data is close together:
there is less difference from each data point to the mean value
Normal Distribution