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.

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.