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{
  "topic": "average-percentage",
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "X",
    "Y"
  ],
  "input_descriptions": [
    "Frist Percentage Value",
    "Second Percentage Value"
  ],
  "input_values": [
    "",
    ""
  ],
  "type": "Calculate",
  "title": "Average Percentage",
  "category": "Percentage",
  "formula_mathjax": "\\( \\frac{ X + Y }{2} \\)",
  "formula": "( X + Y )/2",
  "op_label": "Average Percentage",
  "explanation": "This Average Percentage Calculator reads two percentage values from the user, and calculates the average of the these two percentages, using the average formula.",
  "content": "<h2>Calculating Average Percentage</h2>\n<p>The average percentage is a straightforward calculation used to find the mean of two percentage values. This method is particularly useful in various fields, such as finance, statistics, and education, where determining the central tendency of percentage figures is necessary.</p>\n<p>The formula to calculate the average percentage is expressed as:</p>\n<p>\\( \\text{Average Percentage} = \\dfrac{X + Y}{2} \\)</p>\n<p>where:</p>\n<ul>\n<li><b>X</b> represents the first percentage value.</li>\n<li><b>Y</b> represents the second percentage value.</li>\n</ul><p>By summing the two percentage values and then dividing by 2, you obtain the average percentage.</p>\n\n<h2>Examples</h2><p>The following examples illustrate how to calculate the average percentage using two given percentage values.</p><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">1.</span> A student achieved scores of 80% in Mathematics and 90% in Science. What is the average percentage score across these two subjects?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>X</b> = 80% (Mathematics score)</li><li><b>Y</b> = 90% (Science score)</li></ul><p>The formula to calculate the average percentage is:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{X + Y}{2} \\)</p><p>Substituting the given values:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{80 + 90}{2} \\)</p><p>Calculating the result:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{170}{2} = 85\\% \\)</p><p class=\"tabspace answer\">Therefore, the average percentage score is 85%.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">2.</span> A company reported a 60% increase in profits during the first quarter and a 70% increase in the second quarter. What is the average percentage increase in profits across these two quarters?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>X</b> = 60% (First quarter profit increase)</li><li><b>Y</b> = 70% (Second quarter profit increase)</li></ul><p>The formula to calculate the average percentage is:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{X + Y}{2} \\)</p><p>Substituting the given values:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{60 + 70}{2} \\)</p><p>Calculating the result:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{130}{2} = 65\\% \\)</p><p class=\"tabspace answer\">Therefore, the average percentage increase in profits is 65%.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">3.</span> An investor received a 5% return on investment in one year and a 15% return in the following year. What is the average percentage return over these two years?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>X</b> = 5% (First year return)</li><li><b>Y</b> = 15% (Second year return)</li></ul><p>The formula to calculate the average percentage is:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{X + Y}{2} \\)</p><p>Substituting the given values:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{5 + 15}{2} \\)</p><p>Calculating the result:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{20}{2} = 10\\% \\)</p><p class=\"tabspace answer\">Therefore, the average percentage return is 10%.</p></div><div class=\"example\"><h3 class=\"question\"><span class=\"example_n\">4.</span> A department store offers a 25% discount on one day and a 35% discount on the next day. What is the average discount percentage across these two days?</h3><h4 class=\"answer\">Answer</h4><p>Given:</p><ul><li><b>X</b> = 25% (First day discount)</li><li><b>Y</b> = 35% (Second day discount)</li></ul><p>The formula to calculate the average percentage is:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{X + Y}{2} \\)</p><p>Substituting the given values:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{25 + 35}{2} \\)</p><p>Calculating the result:</p><p class=\"tabspace\">\\( \\text{Average Percentage} = \\dfrac{60}{2} = 30\\% \\)</p><p class=\"tabspace answer\">Therefore, the average discount percentage is 30%.</p></div>"
}