The ages (in years) of eight passengers on a bus are listed below.
2 answers:
Answer: median
Step-by-step explanation: Statistical Mathematics
- First, we re-arrange the given data in ascending or descending order.
- Then we count the no. of data (here 8).
- If the data given is odd in count then the middle value of the arranged data is the median.
- but if the case is of even no. of data then we take the average of the two middle values of the arranged data.
7, 10, 16, 21, 26, 30, 40, 43
Here we have an even number of the data entries so we get two values in the mid.
Now take the average of those mid values:
<h2>- Subtract the least value from the greatest value to find the range.
- For midrange add together the greatest value and the least value and divide by 2.
- Mean is the average of all the values.
- Mode is the value that occurs the most number of times.
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Answer:
The solution is .
Step-by-step explanation:
Given:
The inequality given is:
In order to simplify for 'x', we first isolate 'x' on one side.
Adding -4 on both sides, we get:
Now, is an absolute value function which is defined as:
Therefore, the given inequality can be rewritten as:
and
Therefore, the solution is .
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)
P(Ben Pass) =0.8
Therefore: P(Ben fails)=1-0.8 =0.2
P(Tom Pass) =0.7
Therefore: P(Tom fails)=1-0.7 =0.3
See attached for the completed tree diagram
(b)Probability that both will pass
P(both will pass)=P(Ben pass and Tom pass)
=P(Ben pass) X P(Tom pass)
=0.8 X 0.7
=0.56
(c)The probability that only one of them will pass
Since either Tom or Ben can pass, we have:
P(only one of them will pass)
=P(Ben pass and Tom fails OR Ben Fails and Tom Pass)
=P(Ben pass and Tom fails)+P(Ben Fails and Tom Pass)
=(0.8 X 0.3) + (0.2 X 0.7)
=0.24 + 0.14
=0.38
