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Ivenika [448]
3 years ago
8

160 is 120% of what number?

Mathematics
2 answers:
LuckyWell [14K]3 years ago
8 0
120 % = 160

---------------------------------------------------------------------------
Find 1 % :
---------------------------------------------------------------------------
120% = 160
1% = 160 ÷ 120
1% = 4/3

---------------------------------------------------------------------------
Find 100% :
---------------------------------------------------------------------------
1% = 4/3
100% = 4/3 x 100
100% = 133 1/3

---------------------------------------------------------------------------
Answer: 160 is 120% of 133 1/3
---------------------------------------------------------------------------
sergiy2304 [10]3 years ago
6 0
Dis is how you answer a question, not with "7jhvjggvhjbnlmhvfgxvhi"

imma answer dis question because easy 17 points, why not


ok, rmemeber that percent means parts out of 100 so x%=x/100

ok, translate the sentance into math sentance
bold part is the written part, the part in parenthasees is the part that is translation

160 (160) is (=) 120% (120/100) of (times or multiplied by) what number (x or ?)

so we get
160=(\frac{120}{100})(?)
so do the math
multiply both sides by \frac{100}{120}
(160)(\frac{100}{120}=?
\frac{16000}{120}=?
\frac{400}{3}=?



so the number is \frac{400}{3} or aprox 133. \overline{3}
translation: 160 is 120% of 400/3
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Answer:

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The standard deviation is

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(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.

The new data set would be

17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

The new mean for this set of values would be then

\bar x=\frac{\displaystyle\sum_{i=1}^{20}x_i}{20}=15

The new standard deviation is now

s=\sqrt{\frac{\displaystyle\sum_{i=1}^{20}(x_i-\bar x)^2}{20}}=3.6469

(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.

Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.  

It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.

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