Statistics Test

This is the Question Booklet -DO NOT WRITE ON THIS Marks

Level 4
  1. A farmer counted the vegetables he grew in two years.
Use the table to complete the bar graph on the answer sheet.
Vegetable yield (cartons per acre)
Vegetable / 1994 / 1995
cauliflower / 700 / 800
romaine lettuce / 500 / 600
leaf lettuce / 600 / 1,000
western head lettuce / 700 / 900
/ 3
  1. Which type of graph would best show the number of students in each class in our school (multi choice question)?
  1. Line Graph
  2. Picture Graph
  3. Circle (pie) Graph
  4. Bar Graph
/ 2
  1. Which type of graph would you use to show the number of geese in a park over 10 years (multi choice question)?
  1. Picture graph
  2. Double Bar Graph
  3. Line Graph
  4. Bar Graph
/ 2
Level 5
  1. a) Describe categorical data giving an example.
b) Describe numerical data giving an example. / 4
  1. Kenneth, an ice cream parlour manager, counted the numbers of ice cream cones sold each day.
Use the data in the table to complete the line graph on the answer sheet.
Ice cream cone sales
Day / Number sold
Tuesday / 50
Wednesday / 50
Thursday / 60
Friday / 50
Saturday / 30
/ 5
  1. The architecture student counted the number of bricks in each building in her neighbourhood.
    Use the data to complete the frequency chart on the answer sheet.
    6 9 12 18 14 14 14 6 13 11 12 7 16 19 9 6 12 17 15 7 18 17 15 19 6
/ 4
  1. Leena asked 100 students how many hours of television they watched in one week. This table shows her results.

a)How many female students watched television for 10 hours or less?
b)How many more females were surveyed than males?
c)How many students watched television for more than 10 hours? / 4
Level 6

  1. This graph shows the amount of money raised each month from a cake stall by Year 7 and 8 students.
a)Which month had the most total sales?
b)Which month had the least total sales?
c)How much more money did Year 7 students raise than Year 8 Students?(SHOW WORKING OUT) / 4
  1. What is the difference between primary and secondary data?
/ 2
Level 7
  1. For a Science project, Kevin counted the number of classrooms in each school in the city.
Classrooms per school
Stem / Leaf
2 / 127
3 / 2258
4 / 1568
5 / 067
6 / 478
a)How many schools have at least 30 classrooms but fewer than 60 classrooms?
b)What was the highest number of classrooms in a school?
c)What was the median number of classrooms in a school? / 4
  1. Leonard was conducting a Science Experiment about the number of hours that Sheldon played Video Games each day for 11 days. The data is below:
3,6,6,4,5,8,10,2,1,4,6
a)What is the mode from the above data?
b)Calculate the mean from the data showing your workings.
c)What is the median from the data showing your workings.
d)Calculate the range for the above data show your workings. / 7
Level 8
  1. A class at a school was surveyed to see how many books students read in a month. The graph below was produced:

a)What is the mean number of books read, to 1 decimal place (show your workings)?
b)What is the median number of books read (show your workings)?
The student who did not read any books now says that she read three books. What effect does this have on the: (Answers to nearest whole number)
c)Mean
d)Median
e)Mode / 7
  1. 10 students were surveyed to find out how many hours of sport they play a month. The number of hours they played are:
2, 4, 4, 7, 9, 9, 12, 12, 12, 60
a)Which number is the outlier?
b)What will change if the outlier is removed from the set of data?
  1. The mean
  2. Mean and median
  3. Mean and mode
  4. Mean and range
/ 3
Level 9
  1. 30 people were surveyed to find the ages of males and females that use a tenpin bowling centre.
Males: 65, 15, 40, 15, 44, 16, 57, 16, 16, 21, 17, 28, 30, 34, 42
Females: 16, 60, 16, 52, 17, 25, 22, 34, 40, 42, 36, 36, 30, 27, 29
Draw a back-to-back stem-and-leaf plot to display the data above. / 4
  1. Label each of the following graphs as symmetric, bi-modal, positively skewed or negatively skewed.
a) c )
b) d) / 4
  1. For the following types of distributions write down the best measure of central tendency from the choice of mean, median or mode (may be used more than once).
a)A symmetrical distribution:
b)Bi-modal distribution:
c)Skewed distribution: / 3
Level 10
  1. The ages of 12 people present at a birthday party are shown below:
7,14,14,18,19,22,28,35,64,70,72,78
Find the following showing working out:
a)the median
b)the lower quartile (Q1)
c)the upper quartile (Q3)
d)The Inter-quartile range (IQR)
e)Using the above information draw a box-and-whisker plot to represent the distribution of the data. / 10
  1. Match the following box plots with their corresponding histogram.
/ 4
  1. For the following scatterplots state whether the trend is linear or non-linear. If it is linear, state whether the trend is positive or negative and give an indication of strength.
/ 7
  1. Below is a graph that shows Ice Cream sales versus the temperature on that day.

a)This graph is an example of what type of data?
b)What relationship is shown by this graph?
c)What can you say about the relationship shown on this graph? Give examples to back up your explanation. / 4
Level 10A
  1. Write a definition for the standard deviation?
/ 2
  1. The table below show the test results for 10 students in English and Mathematics. Both tests were scored out of 50. Answer the questions below showing your workings.
English / 42 / 44 / 31 / 20 / 25 / 34 / 45 / 50 / 44 / 12
Maths / 38 / 34 / 42 / 39 / 40 / 44 / 43 / 27 / 34 / 27
a)Find the mean for each data set (to 1 decimal place).
b)Find the standard deviation for each data set (to 1 decimal place).
c)Using the calculated mean and standard deviation compare the two sets of data. / 9
  1. An engineer conducted an experiment modelling the force needed to set an object in motion. Her experiment consisted of different sized block of wood of mass (m kg) being set in motion on a horizontal surface by exerting a force (F N). The size of the force needed to move each block of wood was recorded and the following results obtained.
Mass m (kg) / 1 / 2 / 3 / 5 / 7.5 / 10 / 12.5 / 15 / 20
Force F (N) / 5 / 9 / 15 / 24 / 38 / 50 / 60 / 70 / 100
a)Draw a scatter plot of the data on a piece of graph paper with Force on the horizontal axis.
b)Draw, by eye, a line of best fit over your scatter plot
c)What is the rule for your line of best fit?
d)Find the force need to move a block of mass 11 kg (to 1 decimal place). / 8