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aivan3 [116]
3 years ago
15

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d

ollar amount spent at his competitor's store. At the end of the day, he reviews the amounts of the last 15 grocery orders. The amounts rounded to the nearest dollar are: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50 He then visits the store of his competitor and surveys the first 15 people leaving the store with groceries. The amounts he records, also rounded to the nearest dollar, are: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69 What is the average amount of money spent at each store to the nearest cent
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53

The average spent at his competitor's store is of $48.53.

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Step-by-step explanation:

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so a20=3+19*4=3+76=79

S=(a1+an)*n/2 where n=20

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It is the same formula for all  the exercises

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Step-by-step explanation:

<h3><em><u>Given</u></em><em><u>,</u></em></h3>
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i) <em>Since</em><em>,</em>

Angles on the same side of a transversal in a parallelogram, there sum is 180° so,

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iii) <em>Since</em><em>,</em>

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