Question

The following table (picture 1) shows the distribution of customers that go each day to a Spa according to the Spa’s owner.

A buyer observed how many people actually went to the Spa and came up with these numbers (picture 2):
Which data proves that this distribution is not a good model to represent the observations?

A.] The total number of people observed was too small a sample.
B.] The data observed for Tuesday and Saturday do not fit the model.
C.] The values for each day are too far apart.
D.] The data for Monday and Wednesday do not fit the model.

Answer 1

The data observed for Tuesday and Saturday do not fit the model.

Explanation:

Answer 2

Total number of people who actually went to the spa from picture 2 are :

61+12+59+73+122+41 = 368

Percentage distribution over the week:

Monday = 15% , number of people are
`0.15*368=55` (rounding to whole numbers)

Tuesday = 7% , number of people are
`0.07*368=25`

Wednesday = 15%, people are
`0.15*368=55`

Thursday = 18%, people are
`0.18*368=66`

Friday = 30% , people are
`0.3*368=110`

Saturday = 15%, people are
`0.15*368=55`

Total people as per picture 1 = 55+25+55+66+110+55 = 366

Now, checking all the options the option that describes the situation will be option B - The data observed for Tuesday and Saturday do not fit the model. because there is a large difference in the number of people. In rest options, the difference is not very large. So, B is the best possible answer.