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

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

d

because parallelagram have all 4 angels the same size dependeing and a rectangle and square are oth parallelogram