Question

PLEASE HELP! 20 PTS!!!

Answer 1

Answer:

As both data distribution are not symmetric for both Coffee Shop A and Coffee Shop B. Therefore, it is appropriate to mention the centers of distribution in terms of median for both coffee shops.

Hence, option B should be correct option.

Step-by-step explanation:

Calculation for Coffee Shop A:

The data distribution for shop A:

$12, 52, 57, 33, 51, 15, 46, 45$

Arrange the data in ascending order.

$12, 15, 33, 45, 46, 51, 52, 57$

Mean for shop A:

$Mean=\frac{12+15+33+45+46+51+52+57}{8}=38.875$

$Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{45+46}{2}=45.5$

As Mean and Median are not close. Hence, data distribution is not symmetric for Coffee Shop A.

Calculation for Coffee Shop B:

The data distribution for shop B:

$17, 16, 36, 35, 12, 9, 34, 15$

Arrange the data in ascending order.

$9, 12, 15, 16, 17, 34, 35, 36$

Mean for shop B:

$Mean=\frac{9+12+15+16+17+34+35+36}{8}=21.75$

$Median=\frac{(\frac{n}{2})th+(\frac{n}{2}+1)th}{2}=\frac{16+17}{2}=16.5$

As Mean and Median are not close. Hence, data distribution is not symmetric for Coffee Shop B.

As both data distribution are not symmetric for both Coffee Shop A and Coffee Shop B.

Therefore, it is appropriate to mention the centers of distribution in terms of median for both coffee shops.

Hence, option B should be correct option.

Keywords: data distribution, mean, median

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Answer 2

Answer:

As both data distribution are not symmetric for both Coffee Shop A and Coffee Shop B. Therefore, it is appropriate to mention the centers of distribution in terms of median for both coffee shops.

Hence, option B should be correct option.

Step-by-step explanation: