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17 questions · self-marked practice — reveal the answer and mark yourself.

Question 11 Mark
The final marks in mathematics of $30$ students are as follows:
$53, 61, 48, 60, 78, 68, 55, 100, 67, 90$
$75, 88, 77, 37, 84, 58, 60, 48, 62, 56$
$44, 58, 52, 64, 98, 59, 70, 39, 50, 60$
What is the range?
Answer
Range = highest score - lowest score $= 100 - 37 = 63$
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Question 21 Mark
Define the following terms: Frequency distribution.
Answer
A frequency distribution is an arrangement of instances in which a variable takes each of its possible values. A frequency distribution depicts a summarized grouping of data divided into mutually exclusive classes and the number of occurrences in those classes.
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Question 31 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ How many babies were born on that day?
Answer
We can count the number of babies born on that particular day by counting the number of observations. Therefore, number of babies born on that day $= 15.$
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Question 41 Mark
Define the following terms: Frequency of an observation.
Answer
Number of times an observation has occurred in a given data.
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Question 51 Mark
The final marks in mathematics of $30$ students are as follows: $53, 61, 48, 60, 78, 68, 55, 100, 67, 90 75, 88, 77, 37, 84, 58, 60, 48, 62, 56 44, 58, 52, 64, 98, 59, 70, 39, 50, 60$ Which observations between $50$ and $60$ have not actually appeared?
Answer
The observation $51, 54$ and $57$ have not appeared in the data range of $50-60.$
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Question 61 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ How many babies weigh more than $2.8\ kg$?
Answer
Babies which weigh $2.9, 2.9, 3.0$ and $3.1\ kg$ are the ones to weigh more than $2.8\ kg.$
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Question 71 Mark
Define the following terms: Observation.
Answer
Observation is the active acquisition of information from a primary source.
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Question 81 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ How many babies weigh $2.8\ kg$?
Answer
Number of babies weighing $2.8\ kg = 2$
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Question 91 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ Determine the range.
Answer
Range = Highest weight - lowest weight $= 3.1\ kg - 2.1\ kg = 1.0\ kg$
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Question 101 Mark
The final marks in mathematics of 30 students are as follows: $53, 61, 48, 60, 78, 68, 55, 100, 67, 90 75, 88, 77, 37, 84, 58, 60, 48, 62, 56 44, 58, 52, 64, 98, 59, 70, 39, 50, 60$ What is the lowest score?
Answer
The above data shows $37$ as the lowest score
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Question 111 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ Rearrange the weights in descending order.
Answer
Arranging the weights of the newborn babies in the descending order, we get, $3.1, 3.0, 2.9, 2.9, 2.8, 2.8, 2.7, 2.6, 2.5, 2.5, 2.4, 2.3, 2.2, 2.1,$
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Question 121 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows:
$2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$
Determine the highest weight.
Answer
In a descending order, the first number is always the highest.
Therefore, highest weight $= 3.1\ kg.$
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Question 131 Mark
Define the following terms: Data.
Answer
A collection of facts such as values measurements are called data.
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Question 141 Mark
The final marks in mathematics of 30 students are as follows: $53, 61, 48, 60, 78, 68, 55, 100, 67, 90 75, 88, 77, 37, 84, 58, 60, 48, 62, 56 44, 58, 52, 64, 98, 59, 70, 39, 50, 60$ What is the highest score?
Answer
From the given data we can see that the highest score is $100.$
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Question 151 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ How many babies weigh below $2.5 \ kg$?
Answer
Babies which weigh $2.1, 2.2, 2.3$ and $2.4\ kg$ are the ones to weigh less than $2.5\ kg.$
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Question 161 Mark
The weights of new born babies (in kg) in a hospital on a particular day are as follows: $2.3, 2.2, 2.1, 2.7, 2.6, 3.0, 2.5, 2.9, 2.8, 3.1, 2.5, 2.8, 2.7, 2.9, 2.4$ Determine the lowest weight.
Answer
In an descending order, the last number is always the lowest Therefore, lowest weight $= 2.1\ kg$
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Question 171 Mark
The final marks in mathematics of $30$ students are as follows: $53, 61, 48, 60, 78, 68, 55, 100, 67, 90 75, 88, 77, 37, 84, 58, 60, 48, 62, 56 44, 58, 52, 64, 98, 59, 70, 39, 50, 60$ How many have scored less than $50$?
Answer
Students who have scored $37, 39, 44, 48$ and $48$ are the ones to score less than $50$ Therefore number of students who got less than $50 = 5$
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