If the monthly income of the IBM employees follows a SYMMETRICAL NORMAL distribution, with a median of $5000 and a standard deviation of $200. What would be the mean monthly income? *

 mean monthly income = $5000

Explanation

In any normal distribution, the median and mean are the same value.

The proof is as follows:

If mean > median was the case, then the distribution would be skewed to the right (ie positively skewed). The right tail is pulled longer than the left tail. But this would contradict the symmetrical nature of the normal distribution. So mean > median must not be the case.

If mean < median, then the distribution would be skewed to the left (negatively skewed). Visually this pulls the left tail longer than the right tail. Like in the previous paragraph, this contradicts the symmetrical nature of the normal distribution. So mean < median must not be the case.

Since mean > median cannot be true, and neither can mean < median, this must indicate mean = median.

So in short, any symmetrical distribution always has mean = median and they are at the very center of the distribution.

send the charted data

hi,

henry is an economist and wants to understand the relationship between inflation and consumer spending habits. for his research, he needs the consumer price index for 2014 and the inflation rate. based on the prices of goods given, what will he find to be the cpi and inflation rate for 2014? assume that a consumer’s basket for three consecutive years consists of the following:

you dont privide answer choices.

answer - 15% of a inflatation rate is 15% less in cpi