Maths Quest A Year 11 for Queensland Chapter 10 Describing, exploring and comparing data WorkSHEET 10.2 1
WorkSHEET 10.2 Describing, exploring and comparing data
Name: ______
Maths Quest A Year 11 for Queensland Chapter 10 Describing, exploring and comparing data WorkSHEET 10.2 1
1 / The following data show the survey results of the number of children in families.Data:
3, 5, 2, 4, 3, 1, 4, 1, 2, 5, 3, 6, 4, 3, 5, 4, 4.Create a frequency table for this data.
2 / Using the frequency table from question 1 find:
(a) the mean number of children per family
(b) the median number of children per family
(c) the modal number of children per family
3 / Lachlan has calculated his mean mathematics score to be 67%, based on eight tests. If he scores 75% on the ninth test, what will his new mean score be?
4 / A shoe company surveyed the shoe size purchased by women over a period of time.
The results were as follows:
8, 5, 6, 5, 8, 6, 7, 9, 5, 7, 6, 8, 8, 6, 9, 7, and 8.
(a) Calculate the mean of this data
(b) Find the modal value.
(c) Find the median value.
(d) Which of these values would be of the most use to the company? Why?
5 / Tom has been earning some extra pocket money by washing cars.
In each hour block he has managed to wash 4 cars, 5 cars, 3 cars, 4 cars and 4 cars.
The mean number of cars that he has been able to wash is therefore 4 cars per hour.
In order to increase his mean to 5 cars per hour, how many cars does Tom need to wash in the next hour? Is this likely?
6 / This grouped frequency table gives the number of ‘salmon cod’ caught by a fisherman on 25 fishing trips.
Add a cumulative frequency column to the table, then use this to determine the median class. / 4
7 / Use the frequency distribution table in questions 6 to calculate the mean number of ‘salmon cod’ caught by the fisherman on his 25 fishing trips.
8 / From the distribution table in question 6, determine the modal class.
9 / The number of goals scored by a team is shown below:
5, 4, 4, 7, 5, 9, 12, 14, 16, 16.
(a) Find the lower quartile.
(b) Find the upper quartile.
(c) Find the interquartile range. / 2
10 / Use your calculator to find the standard deviation of the set of outcomes when a
six-sided die is rolled as shown below.
1, 2, 3, 4, 5, 6
State your answer correct to two decimal places. / 1