In the Northern Hemisphere, dolphins swim predominantly in a counterclockwise direction while sleeping. A group of researchers wanted to know whether the same was true for dolphins in the southern hemisphere. They watched 8 sleeping dolphins and found that they swam in a clockwise direction while sleeping the following percentages of time. Assume that this is a random sample and that this variable has a normal distribution in the population. Given the following observations of percentages of time spent swimming clockwise, the mean is (FILL IN THE BLANK)
and the median is (FILL IN THE BLANK)
Express your answers as percentages to one decimal place.

77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2

Mean percentage = 88.57 %

Median  = 87.1

Solution:

Given that,

Given the following observations of percentages of time spent swimming clockwise

77.7, 84.8, 79.4, 84.0, 99.6, 93.6, 89.4, 97.2

Total observations = 8

Sum of observations = 77.7+ 84.8 + 79.4 + 84.0 + 99.6 + 93.6 + 89.4 + 97.2

Sum of observations = 705.7

Mean is given as:

Mean percentage:

Find median

Median is the middle value in data set

Arrange in ascending order

77.7, 79.4, 84.0, 84.8, 89.4, 93.6, 97.2, 99.6

Median =  87.1

answer: 1722

step-by-step explanation:

given: the mass of saturn=

the mass of mercury=

the number of times the mass of saturn is greater than the mass of mercury

hence, the mass of saturn is 1722 times greater than the mass of mercury.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,