According to the Department of Commerce, the mean and median prices of new houses sold in the United States in 1989 were $129,900 and 159,000.  Which of these numbers is most likely the mean and which is the median?

If we add a constant (say, d) for all data values, how this will affect the geometric mean ? Give me the relationship between the old geometric mean and the new geometric mean if there is a relationship

should have the right to marry. (The 2014 data were collected before the 2015 U.S. C2. GSS 2014 and GSS 2018 respondents were asked their opinion on whether homosexuals 30 measured on a 5-point scale from strongly agree (1) to strongly disagree (5). Supreme Court decision granting same-sex couples the right to marry. Responses wer measured on a 5-point scale from strongly agree (1) to strong!y aisagiee (2). Cumulative Percentage Homosexuals Should Have Right to Marry (2014) Percentage Frequency 32.5 32.5 Strongly agree 251 57.5 25.2 Agree 195 67.3 Neither agree nor disagree 9.6 74 79.2 Disagree 92 11.9 100.0 Strongly disagree 161 20.8 Total 773 100.0 Homosexuals Should Have Cumulative Right to Marry (2018) Frequency Percentage Percentage Strongly agree 293 39.5 39.5 Agree 200 27.0 66.5 Neither agree nor disagree 70 9.4 75.9 Disagree 67 9.0 84.9 Strongly disagree 111 15.0 99.9 Total 741 99.9 a. What is the level of measurement for this variable? b. What is the mode for 2014? For 2018?

The mean purchase total is $93.80 and the median purchase total is $75.80. The store manager investigates and learns that the customer that made a $500 purchase had not purchased groceries, but rather a $500 gift card. Because this customer's purchase was not typical, the manager decides to exclude this total from the data set. How will removing the $500 purchase from the data set affect the value of the mean and the median?