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Month Amount

January $567
February $582
March $609
April $620
May $634

Which statement is correct when comparing the MEAN and MEDIAN of the table's data?
Responses

A The mean value is greater than the median value.The mean value is greater than the median value.

B The mean value is less than the median value.The mean value is less than the median value.

C The mean value is equal to the median value.The mean value is equal to the median value.

D The median value is less than the mean value.The median value is less than the mean value.

1 answer

To determine the correct statement regarding the mean and median of the given data, we first need to calculate both the mean and median.

Data:

  • January: $567
  • February: $582
  • March: $609
  • April: $620
  • May: $634

Step 1: Calculate the Mean The mean is calculated by summing all the values and dividing by the number of values.

  1. Sum of amounts: \( 567 + 582 + 609 + 620 + 634 = 3012 \)

  2. Number of months: \( 5 \)

  3. Mean value: \[ \text{Mean} = \frac{3012}{5} = 602.4 \]

Step 2: Calculate the Median The median is the middle value when the data is ordered.

  • Ordered amounts: $567, $582, $609, $620, $634

Since there are 5 values (an odd number), the median is the 3rd value in the ordered list.

  • Median value: \[ \text{Median} = 609 \]

Step 3: Compare the Mean and Median

  • Mean = 602.4
  • Median = 609

Now we can compare the two:

Since \( 602.4 < 609 \), we conclude that:

Correct Answer: B: The mean value is less than the median value.