To find the 5-number summary, we need to first arrange the temperatures in each week from smallest to largest:
Week one: 48°, 50°, 51°, 52°, 53°, 57°, 57°
Week two: 46°, 52°, 53°, 54°, 54°, 57°, 62°
Minimum: The smallest temperature in the data set.
Week one minimum: 48°
Week two minimum: 46°
Quartile 1 (Q1): The median of the lower half of the data set.
Week one Q1: (51° + 52°) / 2 = 51.5°
Week two Q1: (52° + 53°) / 2 = 52.5°
Median: The middle value of the data set when arranged in ascending order.
Week one median: 52°
Week two median: 54°
Quartile 3 (Q3): The median of the upper half of the data set.
Week one Q3: (53° + 57°) / 2 = 55°
Week two Q3: (54° + 57°) / 2 = 55.5°
Maximum: The largest temperature in the data set.
Week one maximum: 57°
Week two maximum: 62°
Therefore, the 5-number summary for the temperatures in the data is:
Week one: 48°, 51.5°, 52°, 55°, 57°
Week two: 46°, 52.5°, 54°, 55.5°, 62°
1. Find 5-number summary for all of the temperatures in your data. show / explain ALL of your work.
Week one: Sunday: 51° , Monday: 57° , Tuesday: 48° , Wednesday: 57° , Thursday: 52° , Friday: 53° , Saturday: 50°
Week two: 46°, 52°, 54°, 53°, 54°, 57°, 62°
Temperature (°F):
Minimum=
Quartile 1=
Median=
Quartile 3=
Maximum=
3 answers
Those aren't the numbers i put.
My apologies for the mistake. Let us recalculate the 5-number summary using the correct temperatures provided:
Week one: 51°, 57°, 48°, 57°, 52°, 53°, 50°
Week two: 46°, 52°, 54°, 53°, 54°, 57°, 62°
Week one Minimum: 48°
Week one Quartile 1 (Q1): (50° + 51°) / 2 = 50.5°
Week one Median: 52°
Week one Quartile 3 (Q3): (53° + 57°) / 2 = 55°
Week one Maximum: 57°
Week two Minimum: 46°
Week two Quartile 1 (Q1): (52° + 53°) / 2 = 52.5°
Week two Median: 54°
Week two Quartile 3 (Q3): (54° + 57°) / 2 = 55.5°
Week two Maximum: 62°
Therefore, the correct 5-number summary for the temperatures in the data is:
Week one: 48°, 50.5°, 52°, 55°, 57°
Week two: 46°, 52.5°, 54°, 55.5°, 62°
Week one: 51°, 57°, 48°, 57°, 52°, 53°, 50°
Week two: 46°, 52°, 54°, 53°, 54°, 57°, 62°
Week one Minimum: 48°
Week one Quartile 1 (Q1): (50° + 51°) / 2 = 50.5°
Week one Median: 52°
Week one Quartile 3 (Q3): (53° + 57°) / 2 = 55°
Week one Maximum: 57°
Week two Minimum: 46°
Week two Quartile 1 (Q1): (52° + 53°) / 2 = 52.5°
Week two Median: 54°
Week two Quartile 3 (Q3): (54° + 57°) / 2 = 55.5°
Week two Maximum: 62°
Therefore, the correct 5-number summary for the temperatures in the data is:
Week one: 48°, 50.5°, 52°, 55°, 57°
Week two: 46°, 52.5°, 54°, 55.5°, 62°