A small British retail store has the following 6 monthly goals

Question

A small British retail store has the following 6 monthly goals (Goals 1-6).

1. The median number of transactions for the cashiers should be greater than 2,000.
2. The arithmetic mean number of transactions for the cashiers should be greater than 2,000.
3. Each cashier should have a minimum of 1,800 transactions.
4. The median value of the transactions for the cashiers should be greater than 10 pounds sterling (£).
5. The arithmetic mean value of the transactions for each cashier should be greater than £10.
6. The arithmetic mean value of all the transactions should be greater than £10.For the three months shown in the table, the retail store had exactly 7 cashiers. The table shows the number of transactions for each cashier in these three months and the total number of transactions in those months.
    Cashier    Transactions for   Month 1    Transactions for   Month 2    Transactions for   Month 3   
  1  2,145  1,781  2,189  
  2  2,138  2,035  1,931  
  3  2,097  2,045  1,862  
  4  2,041  1,856  1,862  
  5  2,041  1,789  1,790  
  6  1,994  2,045  1,981  
  7  1,786  1,744  1,970  
  Total  14,242  13,295  13,585For each of Months 1-3, the table shows the total value of all transactions for that month.
    Period    Value of   transactions   
  Month 1  £159,937.66  
  Month 2  £127,100.20  
  Month 3  £165,193.60

Bunuel · Accepted Answer

1. For each of the following cashiers, select Yes if the information provided indicates that the cashier had a greater number of transactions than the amount indicated in Goal 3 for each of Months 1, 2, and 3. Otherwise, select No.

Goal 3 says that each cashier must have at least 1,800 transactions in every month.

Cashier 5 had 2,041, 1,789, and 1,790 transactions, so fell below 1,800 in Months 2 and 3.
Cashier 6 had 1,994, 2,045, and 1,981 transactions, all above 1,800.
Cashier 7 had 1,786, 1,744, and 1,970 transactions, falling below 1,800 in the first two months.

Answer: Cashier 5 -  No ; Cashier 6 -  Yes ; Cashier 7 -  No

2. For each of the following values, select Yes if the information provided indicates that the value was greater for Month 1 than for Month 3. Otherwise, select No.

The total number of transactions was 14,242 in Month 1 and 13,585 in Month 3, so it was greater in Month 1.

The total value of all transactions was £159,937.66 in Month 1 and £165,193.60 in Month 3, so it was lower in Month 1.

The average value per transaction was 159,937.66 divided by 14,242, or about £11, compared with 165,193.60 divided by 13,585, or about £12, so it was lower in Month 1.

Answer: Total number -  Yes ; Total value -  No ; Mean value -  No

3. Consider the following incomplete statement:

If Goal _____ is met next month, then Goal 6 will also be met next month.

Goal 6 requires that the overall average value of all transactions be greater than £10.

If Goal 5 is met, meaning each cashier’s average transaction value is greater than £10, then combining all their transactions will still produce an overall average greater than £10. Therefore, meeting Goal 5 ensures that Goal 6 is also met.

Answer:  Goal 5

chetan2u · Answer

Goals

A small British retail store has the following 6 monthly goals (Goals 1-6).

1. The median number of transactions for the cashiers should be greater than 2,000.
2. The arithmetic mean number of transactions for the cashiers should be greater than 2,000.
3. Each cashier should have a minimum of 1,800 transactions.
4. The median value of the transactions for the cashiers should be greater than 10 pounds sterling (£).
5. The arithmetic mean value of the transactions for each cashier should be greater than £10.
6. The arithmetic mean value of all the transactions should be greater than £10.

Cashiers

For the three months shown in the table, the retail store had exactly 7 cashiers. The table shows the number of transactions for each cashier in these three months and the total number of transactions in those months.

Attachment:

8.jpg

The table gives the number of transactions for each cashier and each month

Value
For each of Months 1-3, the table shows the total value of all transactions for that month.

Attachment:

9.jpg

We know month wise value but cannot find values per cashier from it.

1. For each of the following cashiers, select Yes if the information provided indicates that the cashier had a greater number of transactions than the amount indicated in Goal 3 for each of Months 1, 2, and 3. Otherwise, select No.

Yes	No
		Cashier 5
		Cashier 6
		Cashier 7

We can check from the table that
Cashier 5: 2041,1789,1790-NO
Cashier 6: 1994,2045,1981-YES >1800
Cashier 7: 1786,1745,1970-NO

2. For each of the following values, select Yes if the information provided indicates that the value was greater for Month 1 than for Month 3. Otherwise, select No.
We are given total value of transactions in each of the three months in th eTAB 3. However, there is no other information which could help us break down these values amongst the seven cashier.
But the number of transactions month wise for each cashier is given in TAB 2.
Thus, Number of transactions can be found but not values.
The total number of transactions for the month........YES
The total value of all transactions for the month........We can see that the total value of transactions for month 3 is greater than month 2.......NO
The arithmetic mean value of all the transactions for the month......NO

3. Consider the following incomplete statement:

If Goal _____ is met next month, then Goal 6 will also be met next month.

Which one of the following would complete the statement such that it must be the case based on the information provided?

A. 1
B. 2
C. 3
D. 4
E. 5

Quote:

5. The arithmetic mean value of the transactions for each cashier should be greater than £10.
6. The arithmetic mean value of all the transactions should be greater than £10
Now, 6th talks of overall mean value to be greater than 10. Whereas 5 talks of each of the cashier mean value is greater than 10. If each cashier mean >10, then surely total mean will be greater than 10.

E

DEV2022 · Answer

can someone post detail solution of Q 2 and Q 3. I didn't understand solutions provided.

DhruvBadaya · Answer

For question 3, let us say that we have 10 shopkeepers selling an average of Rs. 2 toffee, then the net average will be Rs. 2. Now, let us say that the shopkeepers sell an average of Rs. 2 or more of toffee, then the average will be 2 or more. This simply implies that if individual mean is at least x, then the net mean will also be at least x. Hence, if 5 is fulfilled 6 shall also be fulfilled.

msondhi · Answer

Hi there,

Can anyone provide an explanation for this Question 2?

For each of the following values, select Yes if the information provided indicates that the value was greater for Month 1 than for Month 3. Otherwise, select No.
The total number of transactions for the month
The total value of all transactions for the month
The arithmetic mean value of all the transactions for the month

chetan2u · Answer

VALUE:  We are given total value of transactions in each of the three months in th eTAB 3. However, there is no other information which could help us break down these values amongst the  seven cashier. 
NUMBER:  But the number of transactions month wise for each cashier is given in TAB 2.

Thus, Number of transactions can be found but not values per month.

The total number of transactions for the month....... .YES 
The total value of all transactions for the month........ We can see that the total value of transactions for month 3 is greater than month 2.......NO 
The arithmetic mean value of all the transactions for the month..... .NO

bishal128 · Answer

2. For each of the following values, select Yes if the information provided indicates that the value was greater for Month 1 than for Month 3. Otherwise, select No.
Yes No 
The total number of transactions for the month
The total value of all transactions for the month
The arithmetic mean value of all the transactions for the month

2-1:   YES    
2-2:   NO    
2-3:   NO

mkeshri185 · Answer

I still did not get it. The ques was simply the 'Arithmetic Mean Value' of total transaction. It does not talk about 'value' of the transaction. It is asking the "Arithmetic Mean value' of Total transaction

Bunuel · Answer

If I understand you correctly, you’re confusing the phrase “arithmetic mean value of all the transactions” with the average number of transactions. It actually means the average monetary value per transaction, that is, total value divided by total number of transactions.

A small British retail store has the following 6 monthly goals

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Cashier	Transactions for Month 1	Transactions for Month 2	Transactions for Month 3
1	2,145	1,781	2,189
2	2,138	2,035	1,931
3	2,097	2,045	1,862
4	2,041	1,856	1,862
5	2,041	1,789	1,790
6	1,994	2,045	1,981
7	1,786	1,744	1,970
Total	14,242	13,295	13,585

Period	Value of transactions
Month 1	£159,937.66
Month 2	£127,100.20
Month 3	£165,193.60

Yes	No
		The total number of transactions for the month
		The total value of all transactions for the month
		The arithmetic mean value of all the transactions for the month

GMAT Multi-Source Reasoning (MSR) Questions

A small British retail store has the following 6 monthly goals

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