Q. 2

Find the mean deviation about the mean for the data in Exercises.

38, 70, 48, 40, 42, 55, 63, 46, 54, 44

Answer :

We first find the mean (x̅) of the data

The respective absolute values of the deviations from mean, i.e., |x_i – x̅| are

12, 20, 2, 10, 8, 5, 13, 4, 4, 6

Therefore

And

Hence, the mean deviation about the mean for the given data is 8.4.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSThe sum of the squares of deviation for 10 observations taken from their mean 50 is 250. Find the coefficient of variation.NEXTFind the mean, variance and standard deviation for the following data:6, 7, 10, 12, 13, 4, 8, 12

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

caricature

view all courses

RELATED QUESTIONS :

Calculate the mean deviation about the mean of the set of first n natural numbers when n is an even number.

Mathematics - Exemplar

Fill in the blanks

The standard deviation is _______ to the mean deviation taken from the arithmetic mean.

Mathematics - Exemplar

Fill in the blanks

The mean deviation of the data is _______ when measured from the median.

Mathematics - Exemplar

The following information relates to a sample of size 60: ∑x²=18000, ∑x = 960.

The variance is

Mathematics - Exemplar

Calculate the mean deviation about the mean for the following frequency distribution:

Mathematics - Exemplar

Calculate the mean deviation from the median of the following data:

Mathematics - Exemplar

The mean deviation of the data 3, 10, 10, 4, 7, 10, 5 from the mean is

Mathematics - Exemplar

The standard deviation of some temperature data in °C is 5. If the data were converted into °F, the variance would be

Mathematics - Exemplar