last weeks and this weeks low temperatures are shown in the table below.\nlow temperatures for 5 days this…

last weeks and this weeks low temperatures are shown in the table below.\nlow temperatures for 5 days this week and last week\nlow temperatures this week (°f): 4, 10, 6, 9, 6\nlow temperatures last week (°f): 13, 9, 5, 8, 5\n\nwhich measures of center or variability are greater than 5 degrees? select three choices.\n□ the mean of this weeks temperatures\n□ the mean of last weeks temperatures\n□ the range of this weeks temperatures\n□ the mean absolute deviation of this weeks temperatures\n□ the mean absolute deviation of last weeks temperatures

last weeks and this weeks low temperatures are shown in the table below.\nlow temperatures for 5 days this week and last week\nlow temperatures this week (°f): 4, 10, 6, 9, 6\nlow temperatures last week (°f): 13, 9, 5, 8, 5\n\nwhich measures of center or variability are greater than 5 degrees? select three choices.\n□ the mean of this weeks temperatures\n□ the mean of last weeks temperatures\n□ the range of this weeks temperatures\n□ the mean absolute deviation of this weeks temperatures\n□ the mean absolute deviation of last weeks temperatures

Answer

Explanation:

Step1: Calculate this week's mean

Sum values, divide by 5. $\text{Mean (This Week)} = \frac{4 + 10 + 6 + 9 + 6}{5} = \frac{35}{5} = 7$

Step2: Calculate last week's mean

Sum values, divide by 5. $\text{Mean (Last Week)} = \frac{13 + 9 + 5 + 8 + 5}{5} = \frac{40}{5} = 8$

Step3: Calculate this week's range

Subtract min from max. $\text{Range (This Week)} = 10 - 4 = 6$

Step4: Calculate this week's MAD

Find absolute deviations from mean, average them. Deviations: $|4-7|=3$, $|10-7|=3$, $|6-7|=1$, $|9-7|=2$, $|6-7|=1$ $\text{MAD (This Week)} = \frac{3 + 3 + 1 + 2 + 1}{5} = \frac{10}{5} = 2$

Step5: Calculate last week's MAD

Find absolute deviations from mean, average them. Deviations: $|13-8|=5$, $|9-8|=1$, $|5-8|=3$, $|8-8|=0$, $|5-8|=3$ $\text{MAD (Last Week)} = \frac{5 + 1 + 3 + 0 + 3}{5} = \frac{12}{5} = 2.4$

Step6: Identify values >5

Compare each result to 5.

Answer:

  • the mean of this week's temperatures
  • the mean of last week's temperatures
  • the range of this week's temperatures