Test Your Math Skills and Win SBD # 8
Nathalie's average on the six psychology tests she took last year was 89. On each of her first five tests, her grade was between 90 and 100, inclusive.
Which of the following could have been her grade on her sixth test? Include all such grades.
- --- 15
- --- 25
- --- 35
- --- 45
- --- 55
- --- 65
- --- 75
- --- 85
- --- 95
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If all scored 100 then 500 + 35 is the low end score for average of 89
If all scored 90 then 450 + 85 is the high score for average of 89.
Any combination of scores between 90 and 100 would give the results between answer 3 and 8 thus
Answers are: 3,4,5,6,7,8
6x89=534. So test 6 can be between 34 and 84. This means answers 3,4,5, 6 and 7 could be correct. J
vague question its either 6 or 7
Did you even study any math in your life @monajam? Where do you come up with these ridiculous "math problems"? Most of the time the proposed answers are flawd or the info given is incomplete.
Yes, I have studied math, did PhD in Psychology, and statistics was one of my major subject. These tests are just for fun, to interact, and to get to know people. If you don't like them, kindly don't upvote or comment.
I'm not upvoting them. As for commenting....that is what Steemit is all about. However, I didn't realise it that all these posts are part of a psycho-sociological experiment. Thank you for clearing that up for me.
ANother thing: These are common sense questions, and I intentionally do not put a correct answer in the options sometimes, and those who have common sense, answer correctly.
The answer is number 8 - if the overall average is 89 and 5 of the 6 tests were above 90, one test would have to be slightly lower than the other 5 to have 89 overall average... Or I could be totally wrong and not have a clue... Steem on...
If all scored 100 then 500 + 35 is the low end score for average of 89
If all scored 90 then 450 + 85 is the high score for average of 89.
Any combination of scores between 90 and 100 would give the results between answer 3 and 8 thus
Answers are: 3,4,5,6,7,8
The lowest possible value, #8 would equal 89.16 - so yes, I am wrong if there are no fractions permitted...
I believe averages are rounded off.
Sorry I replied to your post by accident with my answer but I just meant to reply to the math quiz. My mistake I was not questioning your work just adding mine but doing it on a phone app I sometimes gets mixed up.
No worries, I think im wrong regardless... :)
4-7
If scored between 90 and 100 (91-99) on the first 5 you received a combined score of no less than 455 and no greater than 495. From there a 35 would average out to no higher than an 88.33 and an 85 would average out to no lower than a 90. So the answer is 4 5 6 and 7.
((100*5)+X)/6=89 (500+X)/6=89 500+X = 534 X = 34 LOWEST SCORE((90*5)+X)/6=89 (450+X)/6=89 450+X = 534 X = 84 HIGHEST SCORE35, 45, 55, 65, 75
Options 3, 4, 5, 6 and 7 are possible scores @ironshield
Only Nr. 8 is possible.
As mentioned in question her grade in first five tests between 90 and 100 ie. 91,92,93,94,95,96,97,98,99.
Then if she get average 99 grade on first five tests then,
(99+99+99+99+99+x)/6 = 89
x = 39 , where x is grade in sixth test.
and if she get average 91 grade in first five test then,
(91+91+91+91+91+x)/6 = 89
x = 79 , x= grade in sixth test
Therefore, as her grade in first five test were between 90 and 100 (ie. 91......99), then the grade at sixth test may vary from 39 - 79
So, the answer from option 4 to 8
Option 4. ---35 option 4 seems as it is from 36 to 45
Option 8. ---85 option 8 seems as it is from 76 to 85
The question is so confusing as it did not give any clear option.
As the actual answer is 39 to 79