The salaries of 830 lawyers were recorded and analyzed. the analyst later found that the lowest salary was incorrectly recorded as $0. after the error was corrected, the report showed that the corrected value was still lower than any other salary. which sample statistic must have remained the same after the correction was made?
mean
minimum
mode
median

Median

Step-by-step explanation:

Apply Definitions:

The mean is the average of all 830 lawyers salaries.

The minimum is the smallest salary among 830 lawyers salaries.

The mode is the salary which appears most often.

The median is the salary separating the higher half from the lower half of a data sample.

Old minimum = $0

New minimum = $x, which is still lower than any other salary. As we can see, the minimum has changed.

The mean has changed too, because if we change one number, the average of numbers cahnges.

The mode can change, because the smallest salary can appear most often, which means the smallest salary can be the mode.

Only the median remained the same, because new minimum salary doesn't change the number of salaries in a lower half.

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.