1) a.What is/are the appropriate measure(s) of central tendency for each of the variables in Columns B-F? Explain your answers in no more than two sentences each. b. Calculate the measures of central tendencies above c. Imagine that a 21st run is added to your dataset. See the table below for its data Run Eth. Gly. Acid. Temp pH 21 18.2 7.2 2.1 18 4.2 d. Do these data points change your choices of central tendency reported in Question 2b? Explain your answer.           Attached dataset;  a            b              c              d           e            f Run Ethanol Glycerol Acidity Temp pH 1 4.8 3.5 0.84 24 3.8 2 9.6 7.3 0.27 24 3.8 3 10.2 7.2 0.27 24 3.8 4 8.5 5.1 0.55 24 3.8 5 7.3 3.2 0.68 24 3.1272 6 4.8 1.2 1.24 30 4.2 7 7.9 4.4 0.65 18 3.4 8 6.7 4.3 0.65 30 3.4 9 9.8 6.9 0.47 24 3.8 10 10.2 7.2 0.32 24 3.8 11 9.8 5.8 0.51 24 3.8 12 10.2 7.5 0.28 24 3.8 13 8.2 5.1 0.49 18 4.2 14 7.1 3.9 0.6 18 3.4 15 8.2 4.8 0.46 13.908 3.8 16 5.6 3.3 0.68 18 4.2 17 7.5 4.5 0.58 30 4.2 18 6.7 3.8 0.75 24 4.4728 19 5.5 3.8 0.45 30 3.4 20 6.5 4 0.79 34.092 3.8

Only parts c and d

Q5.1 The income of males in each state of the United States, including the District of Columbia and Puerto Rico, are given in Table 1, and the income of females is given in Table 2 ("Median income of," 2013): Table 1: Data of Income for Males $42,951 $52,379 $42,544 $37,488 $49,281 $50,987 $60,705 $50,411 $66,760 $40,951 $43,902 $45,494 $41,528 $50,746 $45,183 $43,624 $43,993 $41,612 $46,313 $43,944 $56,708 $60,264 $50,053 $50,580 $40,202 $43,146 $41,635 $42,182 $41,803 $53,033 $60,568 $41,037 $50,388 $41,950 $44,660 $46,176 $41,420 $45,976 $47,956 $22,529 $48,842 $41,464 $40,285 $41,309 $43,160 $47,573 $44,057 $52,805 $53,046 $42,125 $46,214 $51,630         Table 2: Data of Income for Females $31,862 $40,550 $36,048 $30,752 $41,817 $40,236 $47,476 $40,500 $60,332 $33,823 $35,438 $37,242 $31,238 $39,150 $34,023 $33,745…

rofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R   n1   n2   (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…