A camping leader bought the items listed in the table for his team. What is the average cost of an item in his purchase?
1 answer:
The right answer is Option D: $5.44
Step-by-step explanation:
Given,
Cost of one sun visor = $6.25
Cost of 11 sun visors = 6.25*11 = $68.75
Cost of one sunglasses = $8.90
Cost of 4 sunglasses = 8.90*4 = $35.60
Cost of one water bottle = $9.50
Cost of 8 water bottles = 9.50*8 = $76
Cost of one whistle = $1.75
Cost of 15 whistles = 1.75*15 = $26.25
Total number of items = 11+4+8+15 = 38
Total cost of items = 68.75+35.60+76+26.25 = $206.60
Average =
Rounding off to nearest hundredth
Average = $5.44
The average price of an item is $5.44
The right answer is Option D: $5.44
Keywords: average, sum
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Answer:
Due to the higher z-score, she did better in the free throw category.
Step-by-step explanation:
Z-score:
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
She did better in the category that she had the higher z-score:
Free-throws:
Her free throw percentage was 79%, which means that
The team averaged 87% from the free throw line with a standard deviation of 12, which means that . So
Steals:
She had 4 steals, which means that
Averaged 7 steals with a standard deviation of 3, which means that . So
Due to the higher z-score, she did better in the free throw category.