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# The cumulative points as of the end of each year from 2017 to 2022

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Re: The cumulative points as of the end of each year from 2017 to 2022 [#permalink]
lucaswerner1 wrote:
The trick is that the graph is cumulative, so it's interesting to separate the points earned per year, as follows:
2017: 500
2018: 400
2019: 300
2020: 300
2021: 300
2022: 400

So, as we have in the statement, the matches are constant in all these years. Therefore, we can conclude that 2017 had the highest average of points per match.

Now, in the second part of the question, we should get 500/x (average of points per match in 2017) and divide for 2200/6x (average of points per match over the whole period). And we get a ratio of ~1.36, so the average per match in 2017 was ~1.36 times the average per match over the whole period.

­
Isn't the second part saying that we need to take avg of all the graph numbers and that will be whatever times of the earlier average?
please correct me if i am wrong because i sat and calculated the whole avg it was 1350
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Re: The cumulative points as of the end of each year from 2017 to 2022 [#permalink]
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byebyebye wrote:
lucaswerner1 wrote:
The trick is that the graph is cumulative, so it's interesting to separate the points earned per year, as follows:
2017: 500
2018: 400
2019: 300
2020: 300
2021: 300
2022: 400

So, as we have in the statement, the matches are constant in all these years. Therefore, we can conclude that 2017 had the highest average of points per match.

Now, in the second part of the question, we should get 500/x (average of points per match in 2017) and divide for 2200/6x (average of points per match over the whole period). And we get a ratio of ~1.36, so the average per match in 2017 was ~1.36 times the average per match over the whole period.

­
Isn't the second part saying that we need to take avg of all the graph numbers and that will be whatever times of the earlier average?
please correct me if i am wrong because i sat and calculated the whole avg it was 1350

­We have to work out the average for entire period. But the column shown against each year is the cumulative total till that year, that is, it is the sum of the points till that year.
Thus, the column against 2022 gives you total points in all matches between 2017 and 2022, both inclusive. Just divide by total matches to get average.
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Re: The cumulative points as of the end of each year from 2017 to 2022 [#permalink]
lucaswerner1 wrote:
The trick is that the graph is cumulative, so it's interesting to separate the points earned per year, as follows:
2017: 500
2018: 400
2019: 300
2020: 300
2021: 300
2022: 400

So, as we have in the statement, the matches are constant in all these years. Therefore, we can conclude that 2017 had the highest average of points per match.

Now, in the second part of the question, we should get 500/x (average of points per match in 2017) and divide for 2200/6x (average of points per match over the whole period). And we get a ratio of ~1.36, so the average per match in 2017 was ~1.36 times the average per match over the whole period.

­Great work. I made this question with cumulative total so as to make it challenging. The timer stats of just 20% getting it right proves it to be tricky.

So, a great work on getting it correct.
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Re: The cumulative points as of the end of each year from 2017 to 2022 [#permalink]
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chetan2u
chetan2u wrote:
The cumulative points as of the end of each year from 2017 to 2022 scored by Delhi Lakers in the Basketball tournaments is given in the graph below. The number of matches played per year by Delhi Lakers over the last ten years from 2014 has been constant.

Attachment:
CUMULATIVE POINTS SCORED BY DELHI LAKERS.png

Based on the graph and the information above, we can say that the average per match was highest in [Dropdown Placeholder #1], which was [Dropdown Placeholder #2] the average per match over the entire period.
­

­Is there some misprint in the red part? If not, I believe the answers to both the questions are incorrect.

The 2017 number will be the cumulative of 2014-2017 period. So, we cannot be certain whether Delhi Lakers scored 500 points in 2017 itself or merely 100 points and the rest of the 400 points were cumulative from the previous years. This changes the answer significantly for the first dropdown.

As for the second dropdown, average for the entire period should be calculated by dividing the 2022 number (2023 actually if we consider 10 years from 2014) by 10 and not by 6 unless the question is refering to the entire period as period that is given in the graph only.­
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Re: The cumulative points as of the end of each year from 2017 to 2022 [#permalink]
­Based on the graph and the information above, we can say that the average per match was highest in [2017], which was [1.5 times] the average per match over the entire period.

The column in each year show the cumulative points since 2017
=> Point for each year after 2017 = Column of thiss year - Column of last year

Each leading (space btw 2 lines) is 100

2017: 500
2018: 400
2019: 300
2020: 300
2021: 300
2022: 400

=> 2017 have the highest avg point

Surely the avg of the entired period can be calculated => NOT 'cannot be determined'

The highest must be higher than the avg of the period
=> 1.5 times is only possible answer
Re: The cumulative points as of the end of each year from 2017 to 2022 [#permalink]
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