a) Since the new score is less than the average score, it will decrease the average.
<h3>What a standard deviation means?</h3>
- The degree of data dispersion from the mean is indicated by the standard deviation. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.
- Think about the following data: 2, 1, 3, 2, 4. The average and the total square of the observations' departures from the mean will be 2.4 and 5.2, respectively. There will be a standard deviation of (5.2/5) = 1.01.
- Statistics experts have established that measures that are within plus or minus 2 SD of the true value are more accurate than those that fall outside of this range. For data points that frequently fall outside of the 2SD range, the majority of QC programs mandate that remedial action be taken.
a) Since the new score is less than the average score, it will decrease the average.
b) Sum of 27 scores = 27*79
Hence,
New average = (79*27 + 63)/28 = 78.43
c) Since the variability would increase in the overall data, the standard deviation increases.
To learn more about standard deviation, refer to:
brainly.com/question/12402189
#SPJ4