Joe is interested in the prices of homes sold in his area. He found a list of the selling prices of 50 homes for the past month. Most of the homes sold for $100,000-$350,000, but there were a few that sold for more than $1,000,000. Which of the following statements is true about the mean and median selling price for the 50 homes?
The mean and median are equal.
O The mean is less than the median.
O The mean is greater than the median. O The actual selling prices are needed to determine this.​

Respuesta :

Answer:

a

Step-by-step explanation:

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Using the concepts of mean and median, it is found that the correct option is given by:

The mean is greater than the median.

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  • The mean of a data-set is given by the sum of all it's values divided by the number of values.
  • The median is the 50th percentile, that is, the measure which is lower than other 50% of the measures and also higher than other 50%.
  • As the mean includes all values, it is affected by outliers.

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  • Most of the homes sold for $100,000-$350,000, which means that both the mean and the median should be values in this interval.
  • The few that sold for more than $1,000,000 are outlier values, which will affect the mean.
  • Since these values are greater than the usual values(between $100,000 and $350,000), these values will increase the mean, meaning it will be greater than the median, and the correct option is given by:

The mean is greater than the median.

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