The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29} the best measure of center for this data set is the , and its value expressed up to one decimal place is

Step-by-step explanation:

Before we can determine which measure of central tendency is the best we need to determined whether data set is skewed or not.

We can determine the skewness, if we know at least the median and the mean.

The array of the above data set is,

16,18,28,29,35,36,37,38,40,41,44,66,68,72

The Median of the above array is  

\frac{37 + 38}{2} = \frac{75}{2} = 37.5  

The mean is

\frac{16 + 18 + 28 + 29 + 35 + 36 + 37 + 38 + 40 + 41 + 44 + 66 + 68 + 72}{14} = \frac{532}{14} = 38

Since the mean and the median are not the same, the distribution is skewed.

<b>For a skewed distribution, the best measure of central tendency is the median.</b>

To one decimal place, the median is;

37.5

NB: If the distribution is not skewed then it is normal. In a normal distribution the median is equal to the mean. The mode is considered the best measure of center in this case.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

1. supplementary angles

2. acd and bcd

step-by-step explanation: