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Lapatulllka [165]
2 years ago
15

Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.

60, 58, 64, 64, 68, 50, 57. On the eighth day, she drinks 82 ounces of water. Select all the true statements about the effect of the eighth day's amount on Joanna's daily amount distribution. The average daily amount of water is the same with or without the inclusion of the eighth day's amount. The median amount of water is the same with or without the inclusion of the eighth day's amount. The interquartile range of the data decreases when the eighth day's amount is included in the data. The interquartile range of the data increases when the eighth day's amount is included in the data. The median amount of water is higher when the eighth day's amount is included in the data.
Mathematics
2 answers:
butalik [34]2 years ago
8 0
(a) Data with the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57,82], 
Sorted data:  [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean            = 62.875
median         = (60+64)/2 = 62
1st quartile   = (57+58)/2 = 57.5
3rd quartile  = (64+68)/2 =  66
IQR = 66 - 57.5 = 8.5

(b) Data without the eight day's measurement.
Raw data:      [60,58,64,64,68,50,57]
Sorted data:  [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean            = 60.143
median         = 60
1st quartile   = 57
3rd quartile = 64
IQR = 64 -57 = 7

Answers:
1. The average is the same with or without the 8th day's data.  FALSE
2. The median is the same with or without the 8th day's data.  FALSE
3. The IQR decreases when the 8th day is included.                  FALSE
4. The IQR increases when the 8th day is included.                   TRUE
5. The median is higher when the 8th day is included.              TRUE

gogolik [260]2 years ago
3 0

Answer:The interquartile range of the data increases when the eighth day's amount is included in the data.

The median amount of water is higher when the eighth day's amount is included in the data.

Step-by-step explanation: right on plato

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Step-by-step explanation:

First, USE ^2 FOR SQUARED

It is not correct.

The standard equation of a circle is (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius.

In your question the center is (-2,3) and the radius is the length of the line segment from the center to any pointon the circle.  nd hey, it tells us a point on the circle is (-2,6).

Let's take it one part at a time.  we know h and k so let's plug them in.

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now r is the length of the line segment from (-2,3) and (-2,6).  To get from (-2,3) to (-2,6) hopefully it is pretty obvious you just move up (so int he y direction) 3 spaces.  this makes r = 3.  int he formula we want r^2 and that is 9.  The result is that the circle has a formula of:

(x-h)^2 + (y-k)^2 = r^2

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Step-by-step explanation:

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From the figure attached,

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Step-by-step explanation:

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