Question

The following are prices for a 25 inch T.V. found in different stores around Roseville: 100,98,121,111,97,135,136,104,135,138,189,114, 92, 69
is it
Skewed to the right?
Symmetric?
Skewed to the left?
Uniform?

Answer 1

Answer: Skewed to the right

Step-by-step explanation:

There are 14 individual prices which when arranged in order and their mean and median calculated, gives 117.07 as mean and 112.5 as median.

Sum of prices = 1639

Total number of prices = 14

Middle digits when arranged in ascending order = 111 & 114

Mean = 1639/14 = 117.07

Median = (111 + 114)/2 = 112.5

For any distribution skewed to the right (positive skew), the mean is typically greater than the median (117.07 > 112.5) which is to say a right-skewed distribution will have the mean to the right of the median. It will also have a long right tail in the positive direction on the number line. As opposed to the normal distribution, a symmetric distribution with no skew. The tails are exactly the same.

Answer 2

There are 14 values above. The mean of these 14 numbers is calculated by dividing their sum by 14 which will give us an answer of 117.07 or ~117. The smallest of these values is 69 which is 48 units to the left of the average. The largest value is 189 which is 72 units to the right of the average. Therefore, in this distribution, the values are skewed to the right.