Best suited measure of central tendency in different cases and the Empirical relationship between them

Q.

The values of mean, median and mode coincide, then the distribution is

1. Positive skewness

2. Symmetric distribution

3. Negative skewness

4. All of these

Q.

The relationship between Mean, Median and Mode is

1. Median = Mean + Mode

2. Mode = 3 median - 2 mean

3. Mode = 2 median - 3 mean

4. 3Mode = 2 median - 3 mean

Q.

Which measure of central tendency will a shoe manufacturer make use of to determine the size(s) which he should manufacture in maximum quantity?

1. Mean

2. Median

3. Mode

4. Standard deviation

Q.

Which measure of central tendency is not a good representative of the data when you have a few extreme values?

1. Median
2. Mode
3. Mean
4. Ogive

Q.

There are 1000 labourers in a factory. The factory supervisor wants to find out the typical productivity of a worker. Which measure of central tendency should he use?

1. Mean
2. Median
3. Mode
4. standard deviation

Q. There are lottery tickets labelled with any of the numbers from 1 to 500. I want to find the number which is the most common in the lottery tickets. Which measures of central tendency do I need to use?

1. Median
2. Mode
3. Mean
4. None of the above