Question

Maria had 20 pairs of shoes, in the following colours. black black black black black black blue blue blue brown brown green green red red white white white white yellow Find, if you can: a the mode b the median If any is impossible to find, explain why. c the range. c the range.​

Answer 1

Supongo que debe responderse en inglés, así que eso haré.

Out of the 20 pairs of shoes, we have the following:
- 6 black pairs
- 3 blue pairs
- 2 brown pairs
- 2 green pairs
- 2 red pairs
- 4 white pairs
- 1 yellow pair

a) MODE:
By definition, the mode is the most repeated value of the sample, in this case, the color that we have more pairs of shoes is black, so the mode will be “black”.

b) MEDIAN:
In order to calculate the median, we must order the values of our sample, but in this case colors cannot be arranged, so the median would be impossible to find.

c) RANGE:
The range corresponds to the possible values we can choose from, in this case the range would be the set of {black, blue, brown, green, red, white, yellow}