Question

The following data represent the number of children in a sample of 10 families from Chicago: 4, 2, 1, 1, 5, 3, 0, 1, 0, and 8. Is the distribution of the number of children symmetric or skewed?

Skewed to the right.

Skewed to the left.

Symmetric.

Cannot be determined.

Answer 1

Solution :

=> Answer : Skewed to the right

Explanation :

Given that 4, 2, 1, 1, 5, 3, 0, 1, 0, 8

=> mean = sum of terms/number of terms

= 25/10

= 2.5

=> median = 1.5

=> The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

0 0 1 1 1 2 3 4 5 8   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

=> Median = (1 + 2)/2 = 1.5

=> The distribution is positively skewed because the mean is larger than the median.so,it is skewed to the right