Statistics is the very important branch of mathematics. In statistics we deal with some kind of measures of central tendency such as mean, median and mode. In this blog we are going to discuss the mean of CBSE 10th syllabus. The mean in statistics is the very important and most commonly used central tendency measure. We can calculate the mean for both types of data that are ungrouped and grouped data. Mean of Ungrouped data,
Mean = sum of the observations / number of observations,
-Find the mean of (I) First 10 natural numbers (ii) first 10 whole numbers?
Solution : - (I) first 10 natural number are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
x' = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) / 10
x' = 55 / 10 = 5.5.
(ii) First 10 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
x' = 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 / 10,
x' = 45 / 10 = 4.5.
-Mean of grouped data (without class interval)
Mean for direct method = sum of the values of all observations / number of observations, (visit for more information on mean)
or Ƹ f i x I / Ƹ f I,
Mean for step deviation = x' = a + Ƹ f i (x1 – a) / Ƹ f i = a + Ƹ f i d I / Ƹ f i.
-Mean of grouped data (with class interval),
Mean for direct method = upper class limit + lower class limit / 2,
Mean for step deviation = x' = a + Ƹ f i (x1 – a / h) * h / Ƹ f i = a + h (Ƹ f i u I / Ƹ f I)
By applying the above formula we can also calculate the mean.
In upcoming posts we will continue our discussion about Mean and Euclidean/non-Euclidean geometries in Grade XII. Visit our website for information on How to Graph a Circle
Mean = sum of the observations / number of observations,
-Find the mean of (I) First 10 natural numbers (ii) first 10 whole numbers?
Solution : - (I) first 10 natural number are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
x' = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10) / 10
x' = 55 / 10 = 5.5.
(ii) First 10 whole numbers are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,
x' = 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 / 10,
x' = 45 / 10 = 4.5.
-Mean of grouped data (without class interval)
Mean for direct method = sum of the values of all observations / number of observations, (visit for more information on mean)
or Ƹ f i x I / Ƹ f I,
Mean for step deviation = x' = a + Ƹ f i (x1 – a) / Ƹ f i = a + Ƹ f i d I / Ƹ f i.
-Mean of grouped data (with class interval),
Mean for direct method = upper class limit + lower class limit / 2,
Mean for step deviation = x' = a + Ƹ f i (x1 – a / h) * h / Ƹ f i = a + h (Ƹ f i u I / Ƹ f I)
By applying the above formula we can also calculate the mean.
In upcoming posts we will continue our discussion about Mean and Euclidean/non-Euclidean geometries in Grade XII. Visit our website for information on How to Graph a Circle
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