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

Question

The graph below models the 10-day trend of stock prices for two rival shoe companies trading on the NASDAQ. The 10-day trend was recorded between the 10th and the 20th of January in 2015. NKE stock is shown on the upper line, and AG stock is shown on the lower line.

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

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

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Question # 01 | Date: Apr 01, 2023
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Archit3110 · Answer

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

TPW · Answer

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)

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RahulJain293 · Answer

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

rn1112 · Answer

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

$!vakumar.m · Answer

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

RheaBhatia0302 · Answer

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

pintukr · Answer

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

HarshaBujji · 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

Catman · Answer

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.

RuoChen · Answer

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)

avikalagarwal · Answer

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

Sajjad1994 · Answer

Hello Everyone!

Welcome to GMAT Club's IR Quiz-I 2023

Official answer (OA) to this question is posted, It is: C and B

Competition mode is off now for this question.

Wow! Everyone got this question correct.

Sajjad1994 · Answer

Official Explanation

The answer to the first question is C. The value of AG stock increased by about 0.7 percent over the ten days; meanwhile, the value of NKE stock increased by about 2.7 percent, or about four times as much.

The answer to the second question is B. The average value of AG stock for the span between January 13th and January 16th is a little under 154 dollars.

Answer: C and B

ManishaPrepMinds · Answer

Q1

The Gap Between Options:
 
 Equal to vs 2 times vs. 4 times  
 This is a HUGE gap - Use approximation

I'll use whole number  approximation  for maximum speed.

Smart Rounding 
 
 NKE: $5 increase on $155 base (instead of $5 on $155) 
 AG: $1 increase on $152 base

percent change for NKE: 5/155

percent change for AG : 1/152

(5/155) ÷ (1/152) ≈ less than 5

Hence approximately 4 times

Q2

Visual Analysis: 
 
 3 values cluster around $154 
 1 value is lower at $152.04 
 Eliminate choice C 
 Average should be close to $154 but slightly below 
 Hence Choice B

svsivakrishna · Answer

Question 1. 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.

Using Approximation:

% change in NKE stock = (159.63-155.49)/155.49 ~~4/155
% change in AG stock = (153.08-151.96)/151.96 ~~1/152

NKE/AG = ((4/155)/(1/152))~~  which is about 4 times.

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

Jan 13-152.04,
Jan 14-154.57,
Jan 15-154.37,
Jan 16-153.94

Using Approximation: 
One of the value is around 152, and 3 other values are nearer to 154, therefore the mean will be closer to 154, and therefore from the given options,  it is between 153 & 155

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

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

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