step by step solution of A motorist drives 80km at an average speed of 63km/h.which average is this:mean,median or mode?
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To determine which average (mean, median, or mode) is being referred to in this scenario, we need to understand the definitions of each one:
1. Mean: The mean is calculated by summing up all the values and then dividing the sum by the number of values.
2. Median: The median is the middle value in a dataset when the values are arranged in ascending or descending order.
3. Mode: The mode is the value that appears most frequently in a dataset.
Now, let's determine which average is appropriate for the given information about the motorist:
Step 1: Calculate the time taken to drive 80 km using the formula: Time = Distance/Speed.
Time = 80 km / 63 km/h
Time = 1.27 hours
Step 2: Since we only have one piece of information (the time taken), we cannot determine the median or mode because they require multiple data points. Therefore, the average being referred to in this scenario is the mean.
So, the average being described in this scenario is the mean.
To determine which average (mean, median, or mode) is being referred to in this scenario, let's go through each of them step by step:
1. Mean: The mean is calculated by finding the sum of all the values and then dividing by the total number of values. It represents the average value in a data set. However, in this specific scenario, we only have a single value (80km) and its corresponding speed (63km/h). Therefore, there is no other value to calculate the mean, and we cannot use this average in this case.
2. Median: The median is the middle value in a data set when the values are arranged in ascending or descending order. If there is an even number of values, the median is calculated by finding the average of the two middle values. However, in this case, we only have one value, so there wouldn't be a need to calculate the median either.
3. Mode: The mode is the value or values that appear most frequently in a data set. As per the scenario, we have a single value of 80km, and there is no other value to compare it with. Therefore, we can conclude that there is no mode in this case.
In summary, in the given scenario, none of the three measures of central tendency (mean, median, or mode) can be calculated since we only have a single value of 80km.