The graph below models the 10-day trend of stock prices for two rival

I. The percent change in the value of NKE stock over the entire ten days is about _______ the percent change in the value of AG stock over that same period.

A. equal to
B. 2 times
C. 4 times


change in NKE : (159.63- 155.49) / 155.49 : 2.66
change in AG : (153.08-151.96)/151.96 : 0.73
2.66/.73 =3.6 ~4 times
OPTION C

II. For the span between January 13th and January 16th, the average (arithmetic mean) value of AG stock falls approximately between _______ dollars.

A. 151 and 153
B. 153 and 155
C. 157 and 159

Jan 14th : 154.57
Jan 15th : 154.37
avg : (154.57+154.37 )/2 : 154.47
OPTION B. 153 and 155

Answer 1 : 4 times (IMO)

Because NKE Stock moved from 155.49 to 159.63 a change of 4.14 (or 2.67% change over the initial 155.49)

AG stock moved from 151.96 to 153.08 a change of 1.12 ( or .7% approx )
Thus stock NKE change is almost 4 times AG change.



Answer 2: b) 153 to 155
Simple visual observation will show that the values from Jan 13 to Jan 16 hover between 152 to 154.57 thus Mean has to be in this range. Thus eliminate choice c). Also as three out of 4 values are clustered near 154.5 Thus mean would be near to 154.5 rather than 152. Thus eliminate a) and choice b) is correct (IMO)

Posted from my mobile device

IMO C & B


I. The percent change in the value of NKE stock over the entire ten days is about _______ the percent change in the value of AG stock over that same period.

- Here we find percent change of both stocks first.
a. For NKE, it would be (159.63-155.49)/155.49 * 100 which is approx 2.7%
b. For AG, same, (153.08-151.96)/151.96*100 which is approx 0.73%

Hence % change of NKE is approx 4 times that of AG. Hence C


II. For the span between January 13th and January 16th, the average (arithmetic mean) value of AG stock falls approximately between _______ dollars.

- Assuming 'between' would mean to exclude 13th & 16th, just by looking at AG stock prices for 14th & 15th, we can easily say the average is between 153 & 155

Select the best answer to fill in the blanks in each of the statements below based on the data shown in the graph.

I. The percent change in the value of NKE stock over the entire ten days is about _______ the percent change in the value of AG stock over that same period.

A. equal to
B. 2 times
C. 4 times

NKE stock --> 155.49 to 159.63
(% change) = (159.63 - 155.49) / 155.49
= 4.14 / 155.49
= 2.7 (approx)

AG stock --> 151.96 to 153.08
(% change) = (153.08 - 151.96) /151.96
= 1.12 / 151.96
= 0.7 (approx)

Thus, the answer = 2.7 / 0,.7 = 4 times (approx)

IMO, (C) will be the correct option


II. For the span between January 13th and January 16th, the average (arithmetic mean) value of AG stock falls approximately between _______ dollars.

A. 151 and 153
B. 153 and 155
C. 157 and 159

For the AG stock, stock prices for Jan 13 to Jan 16 = 152.04 , 154.57 , 154.37, 153.94

Hence, the mean = (152.04 + 154.57 + 154.37 + 153.94) / 4
= 153.73 (value between 153 and 155)

IMO, (B) will be the correct option
then , the variations are

I. The percent change in the value of NKE stock over the entire ten days is about _______ the percent change in the value of AG stock over that same period.
Since, we need to find the % change over the entire ten days, we need to find the change in value from 1st day to the last day.
% change in NKE stock = \(\frac{(159.63 - 155.49)}{155.49} * 100\) = 2.66%

%change in AG stock = \(\frac{(153.08 - 151.96)}{151.96} * 100 \)= 0.737%
Therefore, the percent change in the value of NKE stock over the entire ten days is about 2.66/0.737 = 3.61 times the percent change in the value of AG stock over that same period. i.e., about 4 times.
Option C is correct

A. equal to
B. 2 times
C. 4 times

II. For the span between January 13th and January 16th, the average (arithmetic mean) value of AG stock falls approximately between _______ dollars.
Value on Jan 13th - 152.04
Value on Jan 14th - 154.57
Value on Jan 15th - 154.37
Value on Jan 16th - 153.94
Average = sum/4 = 614.92/4 = 153.73
Therefore, the average falls between 153 and 155. Answer B.
A. 151 and 153
B. 153 and 155
C. 157 and 159

Since the question stem uses the word "about" we can safely approximate the given values.
Percentage change in NKE: ((153-152)/152) * 100 = ~2/3


Percentage change in AG: ((160-155)/155) * 100 = ~3.something
Therefore, NKE is 3.something times AG
The correct answer is (C) 4 times.




Add the stock values of AG from 13th to 16th January and divide by 4.
(152+155+154+154)/4 = ~154

Answer (B) 153 and 155

I. The percent change in the value of NKE stock over the entire ten days is about _______ the percent change in the value of AG stock over that same period.

A. equal to
B. 2 times
C. 4 times


(Percentage change) for NKE will be
100 * {159.63 - 155.49} divides 155.49
414 divides 155.49
= 2.66

(Percentage change) for AG will be
100 * (153.08 - 151.96) divides 151.96
112 divides 151.96
=0.74

The percent change in the value of NKE stock over the entire ten days is about _______ the percent change in the value of AG stock over that same period. =2.66 divides 0.74
=3.6 times
= 4 times (approx)

(C) is the CORRECT answer


II. For the span between January 13th and January 16th, the average (arithmetic mean) value of AG stock falls approximately between _______ dollars.

A. 151 and 153
B. 153 and 155
C. 157 and 159

AG stock prices
Jan 13 = 152.04
Jan 16 = 154.57
Jan 16 = 154.37
Jan 16 = 153.94

Average value of AG stock
Suppose, the Assumed Mean be = 154.37
Total difference (average) will be
{ -2.53 + 0 - 0.20 - 0.63 }divides 4
= -0.84

Actual Mean = Assumed Mean - Difference
= 154.37 - 0.8
= 153.73

Arithmetic Mean has a value between 153 and 155

(B) is the CORRECT answer
_________________

% Change = Change/Intial value * 100;

So we calculate the % Change of the NKE =~ 2.66%

The % Change of the AG = ~ 0.73%

So the change is 4 times.

IMO C




Avg of the stock price {152.04,154.57.154.37,153.94 } = Avg => 153.75

IMO B

I. Change in NKE Stock = \({(\frac{159.63-155.49)}{155.49})}*100\) = 2.66%

Change in AG stock = \({(\frac{153.08-151.96)}{151.96})}\)*100 = 0.73%

Percent change is equal to 4 times \(\frac{2.66}{0.73}\) =3.64 which is close to 4 times.

Choice C.

II. Average value of AG stock fall =\( \frac{(152.04+154.57+154.37+153.94)}{4}\) =153.73

Choice B.
_________________

Answer I: (C)
Answer II: (B)

Solution:
I)
Change in % of NKE = (Value on 19 Jan - Value on 10 Jan)/(Value on 10 Jan) * 100%
= (159.63 - 155.49)/155.49 * 100
= 2.66%

Change in % of AG = (Value on 19 Jan - Value on 10 Jan)/(Value on 10 Jan) * 100%
= (153.08 - 151.96)/151.96 * 100
= 0.74%

2.66% / 0.74% = 3.59 Times that's approximately 4 times => Answer (C)

II)
Average between Jan 13 and 16 = (152.04+154.57+154.37+153.94)/4 = 153.37 ( falls between 153 and 155)
Answer (B)

ANSWER = C. 4 times
NKE Change = 159.63-155.49 = 4.14
AG change = 153.08-151.96 = 1.12
=> Approx 4 times


ANSWER = B. 153 and 155
Sum 13th to 16th = 614.92
=> avg = 614/92/4 = 153.74
=> between 153 and 155

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