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RUDIKE [14]
1 year ago
6

The box plot summarizes the number of people enrolling in fitness classes each month during one year at the city gym. The mean o

f the data is 163.75, and the mean absolute deviated (MAD) of the data is 65. In January of the next year, 400 people enroll in fitness classes at the gym. How does the MAD change if the data include January’s enrollment? Use the drop-down menus to explain. Click the arrows to choose an answer from each menu. A MAD of 65 means that the monthly enrollment counts were an average of 65 from the (CHOOSE). An enrollment of 400 has a deviated value that is (CHOOSE) the MAD. The data will have (CHOOSE) variability when January’s enrollment is included. This will result in a new MAD that is (CHOOSE) 65.

Mathematics
2 answers:
FrozenT [24]1 year ago
4 0

Answer:

first blank: mean

second blank: greater than

third blank: increased

fourth blank:  greater than

Step-by-step explanation:

I can't see the options in each blank, even though I completed them with reasonable options.

The MAD of a set of data is the average distance between each data value and the mean. 400 is further than the mean than the MAD. This, increases the variability of the originally data set. As a consequence, the inclusion of 400 will result in a greater MAD

trasher [3.6K]1 year ago
4 0

Answer:

first blank: mean

second blank: greater than

third blank: increased

fourth blank:  greater than

Step-by-step explanation:

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153.8 grams of sugar is needed

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In USA Today (Sept. 5, 1996), the results of a survey involving the use of sleepwear while traveling were listed as follows: Mal
Wewaii [24]

Answers:

a) 0.018.

b) 0.614.

c) 0.166.

d) 0.479

Explanations:

1) Table

----------------------Male ----------- Female ---------- Total

Underwear ----- 0.220 ---------- 0.024 ---------- 0.244

Nightgown ----- 0.002 ---------- 0.180 ------------ 0.182

Nothing --------- 0.160 ----------- 0.018 ------------ 0.178

Pajamas --------- 0.102 ---------- 0.073 ----------- 0.175

T-shirt ------------ 0.046 --------- 0.088 ------------ 0.134

Other --------------0.084 --------- 0.003 ------------ 0.087

2) Check that it is a table of relative frequencies:

total = 0.244 + 0.182 + 0.178 + 0.175 + 0.134 + 0.087 = 1 ⇒ indeed this is a table of relative frequencies.

That means that each data is a probabiilty.

3) Soluitions:

(a) What is the probability that a traveler is a female who sleeps in the nothing?

relative frequency of females that use nothing = 0.018

(b) What is the probability that a traveler is male?

Probability that a traveler is a male = relative frequency of males = 0.220 + 0.002 + 0.160 + 0.102 + 0.046 + 0.084 = 0.614

(c) Assuming the traveler is male, what is the probability that he sleeps in pajamas?

It is the relative frequency of the males that sleep in pajamas divided by the relative frequency of males = 0.102 / 0.614 = 0.166

(d) What is the probability that a traveler is male if the traveler sleeps in pajamas or a T-shirt?

It is the relative frequency of males that sleep in pajamas plus that of the males that sleep in T-shirt, divided the total relative frequency of travelers that sleep in pajamas or T-shirt

i) relative frequency of males that sleeps in pajamas plus that of the males that sleeps in T-shirt = 0.102 + 0.046 = 0.148

ii) relative frequency of travelers that sleep in pajamas or T-shirt = 0.102 + 0.046 + 0.073 + 0.088 = 0.309

iii) quotient = 0.148 / 0.309 = 0.479

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Answer:

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Step-by-step explanation:

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The volume of a cube is given by:

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