The least value the store can receive for the 11th rating = 50.
The sum of a group of numbers divided by the total number of values in the group yields the average of the group. Take the average of 24, 55, 17, 87, and 100 as an example. Simply add up the numbers: 24 + 55 + 17 + 87 + 100 = 283; then, divide that number by five to get 56.6.
The sum of the values in a data set divided by the total number of values in the data set represents the mean of the data set. Finding the average of The first 10 ratings and dividing by 10 yielded a result of 75.
The sum of the first 10 ratings was 750.
For the mean of the first 20 ratings to be at least 85
The sum of the first 20 ratings must be at least
= 85 * (20)
=1700.
The sum of the next 10 ratings must be at least 1700−750
=950.
The maximum rating is 100, so the maximum possible value of the sum of the 12th through 20th ratings is
= 9(100)
=900.
the store to be able to have an average of at least 85 for the first 20 ratings, the least possible value for the 11th rating is:
= 950−900
=50.
The least value the store can receive for the 11th rating = 50.
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