For the given data sets, calculate the mean, the median, and the mode. Locatethese measures on a dotplot. Based on the relative positions of the mean andmedian, are the measurements symmetric or skewed?a) n = 5 measurements: 0, 5, 1, 1, 3b) n = 8 measurements: 3, 2, 5, 6, 4, 4, 3, 5c) n = 10 measurements: 3, 5, 4, 5, 10, 5, 6, 9, 2, 8d) n = 7 measurements: 3, 6, 4, 0, 3, 5, 2

Sure, let's calculate the mean, median, and mode for each data set:

a) n = 5 measurements: 0, 5, 1, 1, 3 Mean: (0+5+1+1+3)/5 = 2 Median: 1 (middle value) Mode: 1 (appears most frequently) The mean is greater than the median, so the data is skewed to the right.

b) n = 8 measurements: 3, 2, 5, 6, 4, 4, 3, 5 Mean: (3+2+5+6+4+4+3+5)/8 = 4 Median: (4+4)/2 = 4 (average of the two middle values) Mode: 4 and 5 (both appear twice) The mean equals the median, so the data is symmetric.

c) n = 10 measurements: 3, 5, 4, 5, 10, 5, 6, 9, 2, 8 Mean: (3+5+4+5+10+5+6+9+2+8)/10 = 5.7 Median: (5+5)/2 = 5 (average of the two middle values) Mode: 5 (appears most frequently) The mean is greater than the median, so the data is skewed to the right.

d) n = 7 measurements: 3, 6, 4, 0, 3, 5, 2 Mean: (3+6+4+0+3+5+2)/7 = 3.3 Median: 3 (middle value) Mode: 3 (appears most frequently) The mean is greater than the median, so the data is skewed to the right.

For the dotplot, you would plot each data point on a number line. The mean, median, and mode would be marked and labeled accordingly.