# A data set consists of 2, 2, 3, 4, 5, 5, and 7. Then, 20 is added to the data set. The new value will

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## Answers

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

Arithmetic MeanMedianModeGeometric Mean Harmonic MeanLet us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

282 K.

Explanation:

We know that G = H - T * S

If we want to find the temperature that the spontaneity of the reaction changes, we set the free energy equal to 0 and solve for T.

0 = -24.8 + 0.0879 T (make sure to keep units all the same in terms of kJ)

T = 282 K.

part A: B

part B: B

part C: C

part D: A

In traditional poetry, a regular rhyme aids the memory for recitation and gives predictable pleasure. A pattern of rhyme, called a scheme, also helps establish the form. In modern free verse, rhyme breaks the pattern and adds unpredictable spice, giving special emphasis to the lines that rhyme.

Explanation:

Please see the detailed answer below:

Step-by-step explanation:

Part 1:

n = [lnA - lnP] / ln(1 + i)

n = [ln15000 - ln10000] / ln(1 + 0.03)

n = [9.6158 - 9.2103] / 0.0296

n = 13.70

13 years, 8 months and 12 Days

Part 2:

P = A / [(1 + i)n]

P = 15000 / [(1.03)4]

P = 15000 / 1.1255

P = $13,327.31

Part 3:

A = 10000 (1 + 0.04)5

A = $12,166.53

The amount of money you need to save to buy a car at $15,000 would be;

$15,000 - $12,166.53

=> $2,833.47

Part 4

Firstly there is a threat of inflation. The car that $15,000 may not cost the same amount after 13 years from now. Secondly, We can Invest money today to get interest on it instead of loosing the opportunity cost of interest by not investing the money and saving the money by self is definitely a waste of time. Thirdly, Human Beings prefer to get pleasurable luxuries as early as possible, So I would prefer to invest $10,000 now at higher rate of return at 4% for the time period of 5 years so that I buy the car and in that time I will also save the money on my own so that it could add up to $15,000.

Part 5

Saving money for rainy days is a concept derived from ancient times. As at the beginning people used to save food as there will be no cultivation in dry weather. But above example is solely talking about luxury as if it would be necessity he could have bought any cheaper Car. And for that we should always be thankful to God for what he has given to us. Some of the Verses from Bible are listed below:

"Always find something to be thankful for, even in the hard times."

“Give thanks to the LORD, for he is good; his love endures forever.”

Chronicles 16:34

“Let them give thanks to the LORD for his unfailing love and his wonderful deeds for mankind, for he satisfies the thirsty and fills the hungry with good things.”

Psalm 107:8-9

The temperature at which the reaction changes from non-spontaneous to spontaneous is 588.735 K

Explanation:

The spontaneity of a reaction is determined by the change in Gibbs Free Energy, [tex]\Delta G^{0}[/tex].

[tex]\Delta G^{0} =\Delta H^{0} -T\Delta S^{0}[/tex]

If [tex]\Delta G^{0}[/tex] is greater than zero, then a reaction is feasible.

If [tex]\Delta G^{0}[/tex] is less than zero, then a reaction is not feasible.

To determine the temperature at which the reaction changes from non-spontaneous to spontaneous, we should equate the [tex]\Delta G^{0}[/tex]to zero.

We take [tex]\Delta G^{0}=0[/tex] as the limiting condition.

[tex]T=\frac{\Delta H^{0}}{\Delta S^{0}}=\frac{55.4\times10^{3}}{94.1}=588.735K[/tex]

Therefore, the temperature is: 588.735K

A data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have the little effect on the median, but it will raise the mean significantly.

Step-by-step explanation:

Since, we all know that the measures of central tendency are:

Arithmetic Mean

Median

Mode

Geometric Mean

Harmonic Mean

Let us define Arithmetic Mean and Median.

Arithmetic mean is the sum of observations divided by the total number of observations. It is denoted by (x bar).

On the other hand, median of a distribution is that value of the variable which divides it into two equal parts.

For Arithmetic Mean:

According to the question, when data set consists 2,2,3,4,5,5 and 7, the arithmetic mean for the given data = 4

After adding 20 the given data set, the mean will be = 6

For median:

When data set consists of 2,2,3,4,5,5 and 7, the median value will be the middle value of the distribution i.e. = 4

After adding 20 to the given data set, the median will be = 4.5

Here we can say that 20 is an outlier for the given data set.

Since mean has the significant effect of the outlier because it is based on all values but the median has lesser effects of the outlier as it is based only on middle values. So whatever outlier is added to median, it will not show particular changes.

Thus , a data set consists of 2,2,3,4,5,5 and 7. Then, 20 is added to the data set. The new value will have little effect on median, but it will raise the mean significantly.

Step-by-step explanation: