My data has a median of 4, a mode of 3 and a mean of 3.56. Would this mean my data set was normally distributed? I think my data set is not normally distributed but can someone just check my work for me?

My mode is 4****

I believe a normal distribution tends to be symmetrical about the mean which is therefore the median.

so my data set follows a normal distribution??

NOT SYMMETRICAL

google

David Lane Normal distribution

look at picture

mean is median

Same both sides of mean

Your mean is not your median

To determine if your data set is normally distributed based on its median, mode, and mean, we need to consider that in a normal distribution, the mean, median, and mode are all equal.

In your case, the median is 4, which is different from the mean of 3.56 and the mode of 3. Since the mean, median, and mode are not equal, your data set is likely not normally distributed.

However, it is important to note that solely based on the given measures, we cannot definitively determine if the data set is normally distributed. These measures only provide some insights, but to fully assess the distribution, further analysis, such as the analysis of the skewness and kurtosis, or graphical methods like a histogram or normal probability plot, would be required.