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Using data

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BA BA Primary Education Quiz on Using data , created by sam.wilberforce on 03/03/2016.
sam.wilberforce
Quiz by sam.wilberforce, updated more than 1 year ago
sam.wilberforce
Created by sam.wilberforce over 8 years ago
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Resource summary

Question 1

Question
What are the two ways of representing data?
Answer
  • Numerical - measures of central tendency and dispersion
  • Bar charts
  • Pictorial - charts and graphs
  • Line graphs

Question 2

Question
What are the measures of central tendency?
Answer
  • Mean
  • Standard deviation
  • Mode
  • Median
  • Range
  • Inter-quartile range

Question 3

Question
What is the mean?
Answer
  • The arithmetic average that is calculated through adding all of the values and then dividing by how many there are.
  • The middle number after all numbers have been ordered
  • The most frequent number in a set

Question 4

Question
What are the advantages of the mean?
Answer
  • • Contributed to by all values
  • • Preferred when data is skewed
  • • Useful in statistics
  • • Used within continuous data
  • • Preferred when data is normally distributed
  • • Easiest to understand and calculate

Question 5

Question
What are the disadvantages of the mean?
Answer
  • • More difficult to understand
  • • Time consuming
  • • Affected by extreme values
  • • Not appropriate with ordinal and nominal level data
  • • Might not be an actual value in the set

Question 6

Question
What is the median
Answer
  • The sum of all values divided by the number of values
  • The middle number after all numbers have been ordered

Question 7

Question
What are the advantages of the median?
Answer
  • • Easier to understand
  • • Easiest to understand and calculate
  • • Unaffected by extreme values
  • • Used with ordinal and continuous data
  • • An actual value
  • • Preferred when data is skewed

Question 8

Question
What are the disadvantages of the median
Answer
  • • Might not be an actual value in the set
  • • Time consuming
  • • Not appropriate with ordinal and nominal level data

Question 9

Question
What is the mode?
Answer
  • The middle number after all numbers have been ordered
  • The most frequent number in a set

Question 10

Question
What are the advantages of the mode?
Answer
  • • Easiest to understand and calculate
  • • Used with categorical data
  • • An actual value
  • • Preferred when data is skewed
  • • Unaffected by extreme values

Question 11

Question
What are the disadvantages of the mode?
Answer
  • • Affected by extreme values
  • • Sometimes there is more than one
  • • More difficult to understand

Question 12

Question
What are the different measures of distribution or the spread of data?
Answer
  • Mean
  • Range
  • Mode
  • Interquartile range
  • Standard deviation
  • Median

Question 13

Question
What is the range?
Answer
  • How much on average each score deviates from the mean score.
  • The difference between the largest and the smallest.

Question 14

Question
What are the advantages of the range?
Answer
  • • Easy to understand
  • • Related to the actual values in the set
  • • Useful in statistics
  • • Usual used with ordinal and continuous data

Question 15

Question
What are the disadvantages of the range?
Answer
  • • More difficult to understand
  • • Affected by extreme values

Question 16

Question
What is the inter-quartile range?
Answer
  • The difference between the upper quartile (75% data point) and the lower quartile (25% data point).
  • How much on average each score deviates from the mean score.

Question 17

Question
What are the advantages of the interquartile range?
Answer
  • • Related to the actual values in the set
  • • Useful in statistics
  • • Used with continuous data
  • • Usually used with ordinal and continuous data
  • • Unaffected by extreme values

Question 18

Question
What are the disadvantages of the inter-quartile range?
Answer
  • • More difficult to understand
  • • Unlikely to be a value in the set

Question 19

Question
What is standard deviation?
Answer
  • How much on average each score deviates from the mean score.
  • The difference between the upper quartile (75% data point) and the lower quartile (25% data point).

Question 20

Question
What are the advantages of standard deviation?
Answer
  • • Uses all the values in the set
  • • Easy to understand
  • • Useful in statistics
  • • Used with continuous data
  • • Usually used with ordinal and continuous data

Question 21

Question
What are the disadvantages of standard deviation?
Answer
  • • Affected by extreme values
  • • More difficult to understand
  • • Unlikely to be a value in the set

Question 22

Question
What is a normal distribution?
Answer
  • This is normal because the mean, median and mode lies in the same place, the mean is the preferred method.
  • The mean is dragged in the direction of the skew so the median is the preferred measure (an easy test – ceiling effect).

Question 23

Question
What is a negatively skewed distribution?
Answer
  • The mean is dragged in the direction of the skew so the median is the preferred measure (an easy test – ceiling effect).
  • Left
  • Right

Question 24

Question
What is a positively skewed distribution?
Answer
  • The mean is dragged in the direction of the skew so the median is the preferred measure (an easy test – ceiling effect).
  • Left
  • Right

Question 25

Question
What is the preferred measure for a normal distribution?
Answer
  • Median
  • Mode
  • Mean

Question 26

Question
What is the preferred method for a skewed distribution?
Answer
  • Mode
  • Median

Question 27

Question
What are box and whisker plots?
Answer
  • They are helpful for indicating whether a distribution is skewed and if there any unusual observations (outliers) in the data set.
  • They are useful when large numbers of observations are involved or comparing two or more data sets.

Question 28

Question
What are the different ways of representing data?
Answer
  • Bar chart
  • Line graph
  • Scatter diagram
  • Pie chart

Question 29

Question
What are the levels of measurement
Answer
  • Nominal data
  • Continuous data
  • Ordinal data
  • Ratio data
  • Categorical data
  • Interval data

Question 30

Question
What is nominal data?
Answer
  • When quantities that are ordered y criteria such as positions in a rate. However it does not allow you to state whether the intervals between each value are equal.
  • categorically discrete data such as the name of your school or the car you drive.
  • This is like like ordinal data except the intervals between each value is equally split, such as the time of day on a clock.

Question 31

Question
What is ordinal data?
Answer
  • like ordinal data except the intervals between each value is equally split, such as the time of day on a clock.
  • interval data with a natural zero point (ruler in cm).
  • When quantities that are ordered y criteria such as positions in a rate. However it does not allow you to state whether the intervals between each value are equal.
  • The median could be a measure of central tendency for this.

Question 32

Question
What is interval data?
Answer
  • The median could be a measure of central tendency for this.
  • this is like ordinal data except the intervals between each value is equally split, such as the time of day on a clock.

Question 33

Question
What is ratio data?
Answer
  • this is like ordinal data except the intervals between each value is equally split, such as the time of day on a clock.
  • interval data with a natural zero point (ruler in cm).

Question 34

Question
What is categorical data?
Answer
  • data which is divided into groups (types of animals). This data is nominal and discrete.
  • The mode would be the measure of central tendency as it cannot be used with arithmetic.
  • Representations could include a bar chart with gaps between the bars (grouped discrete data)
  • data restricted to a limited set of discrete values (shoes size and money)

Question 35

Question
What is continuous data?
Answer
  • data which can take any value within a range (height). The mean could be a measure of central tendency, this is because it would give you the arithmetic average for the large range of data which can then be used in statistics.
  • The median could be used if the data was skewed because this would be more representative of the data.
  • Representations could include a line graph or a histogram (grouped continuous)

Question 36

Question
What is discrete data?
Answer
  • data restricted to a limited set of discrete values (shoes size and money)
  • data which is divided into groups (types of animals). This data is nominal and discrete. The mode would be the measure of central tendency as it cannot be used with arithmetic.

Question 37

Question
What types of data is the mean used for?
Answer
  • Continuous
  • Standard deviation

Question 38

Question
What types of data is the median used for?
Answer
  • Ordinal data
  • Skewed data

Question 39

Question
What types of data would be the mode be used for?
Answer
  • Categorical data
  • Ordinal data
  • Nominal data
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