Example Question - finding average
Here are examples of questions we've helped users solve.
Calculating the Mean/Average of a Set of Numbers
Para encontrar la media (también conocida como promedio) de un conjunto de números, debes sumar todos los números y luego dividir la suma por la cantidad de números que hay. En la imagen se nos pide encontrar la media de los siguientes números: 8, 4, 9, 2, 8, 7, 6, 2, 7, 4. Primero sumamos todos los números: 8 + 4 + 9 + 2 + 8 + 7 + 6 + 2 + 7 + 4 = 57 Ahora contamos cuántos números hay, que en este caso son 10. Finalmente, dividimos la suma total por la cantidad de números para encontrar la media: 57 / 10 = 5.7 Por lo tanto, la media (promedio) de estos números es 5.7.
Calculation of Average of Two Numbers
The given problem is to find the value of \(\frac{a + b}{2}\). First, we'll calculate the value of \(a\) and \(b\) separately and then find \(\frac{a + b}{2}\). \(a = 4\frac{1}{2} + 1\frac{1}{2}\) \(a = \frac{9}{2} + \frac{3}{2}\) (converting mixed fractions to improper fractions) \(a = \frac{9 + 3}{2}\) \(a = \frac{12}{2}\) \(a = 6\) (simplifying the fraction) \(b = 6\frac{1}{2} + 1\frac{3}{4}\) \(b = \frac{13}{2} + \frac{7}{4}\) (converting mixed fractions to improper fractions) To add these fractions, they must have a common denominator. The least common denominator for 2 and 4 is 4. \(b = \frac{26}{4} + \frac{7}{4}\) (making the denominators the same) \(b = \frac{26 + 7}{4}\) \(b = \frac{33}{4}\) (simplifying the fraction) Now, let's calculate \(\frac{a + b}{2}\). \(\frac{a + b}{2} = \frac{6 + \frac{33}{4}}{2}\) First, express 6 as a fraction with a denominator of 4 to be able to add it to \(\frac{33}{4}\). \(\frac{6}{1} = \frac{24}{4}\) Now, add the fractions: \(\frac{a + b}{2} = \frac{\frac{24}{4} + \frac{33}{4}}{2}\) \(\frac{a + b}{2} = \frac{24 + 33}{4 \cdot 2}\) \(\frac{a + b}{2} = \frac{57}{8}\) So the value of \(\frac{a + b}{2}\) is \(\frac{57}{8}\).
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