Aussie Maths & Science Teachers: Save your time with SmarterEd
A weather station records daily maximum temperatures
The five-number summary for the distribution of maximum temperatures for the month of February is displayed in the table below.
--- 5 WORK AREA LINES (style=lined) ---
| a. |  |
b.
The five-number summary below was determined from the sleep time, in hours, of a sample of 59 types of mammals.
--- 5 WORK AREA LINES (style=lined) ---
--- 0 WORK AREA LINES (style=lined) ---
a.
b.
Two netball teams, Team A and Team B, each played 15 games in a tournament. For each team, the number of goals scored in each game was recorded.
The frequency table shows the data for Team A.
The data for Team B was analysed to create the box-plot shown.
Compare the distributions of the number of goals scored by the two teams. Support your answer with the construction of a box-plot for the data for Team A. (5 marks)
--- 8 WORK AREA LINES (style=lined) ---
The heights of the 60 members of a choir were recorded. These results were grouped and then displayed as a cumulative frequency histogram and polygon.
The shortest person in the choir is 140 cm and the tallest is 190 cm.
Draw an accurate box-and-whisker plot to represent the data. (3 marks)
--- 8 WORK AREA LINES (style=lined) ---
Terry and Kim each sat twenty class tests. Terry’s results on the tests are displayed in the box-and-whisker plot shown in part (i).
Draw a box-and-whisker plot to display Kim’s results below that of Terry’s results. (1 mark)
--- 1 WORK AREA LINES (style=lined) ---
Justify your answer by referring to the summary statistics and the skewness of the distributions. (4 marks)
--- 8 WORK AREA LINES (style=lined) ---
| i. |  |
ii.
iii.