Question

WILL FAN AND MEDAL



Which of the following is an appropriate measure of central tendency to apply to the following list of heights recorded in the high-jump event at a track meet?

Check all that apply.

4' 9", 5' 3", 5' 4", 5' 7'', 5' 3", 5' 9", 6' 0", 5' 4", 6' 0", 6' 1", 5' 7", 5' 5", 4' 5"

A. Mean
B. Range
C. Mode
D. Median
E. Standard deviation

Answer 1

@Directrix

Answer 2

The mean, median, and mode are all measures of central tendency. Which one is appropriate is the question.

@Dianie Have you cranked out the mean, median, and mode yet?

Answer 3

I have been reading here about these measures:

https://statistics.laerd.com/statistical-guides/measures-central-tendency-mean-mode-median.php

Answer 4

When is the mean the best measure of central tendency?

The mean is usually the best measure of central tendency to use when your data distribution is continuous and symmetrical, such as when your data is normally distributed. However, it all depends on what you are trying to show from your data.

When is the mode the best measure of central tendency?

The mode is the least used of the measures of central tendency and can only be used when dealing with nominal data. For this reason, the mode will be the best measure of central tendency (as it is the only one appropriate to use) when dealing with nominal data. The mean and/or median are usually preferred when dealing with all other types of data, but this does not mean it is never used with these data types.

When is the median the best measure of central tendency?

The median is usually preferred to other measures of central tendency when your data set is skewed (i.e., forms a skewed distribution) or you are dealing with ordinal data. However, the mode can also be appropriate in these situations, but is not as commonly used as the median.

What is the most appropriate measure of central tendency when the data has outliers?

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.

Answer 5

For the mean I got 5'1" and for The median i got 5'5"

Answer 6

^^^^^ Source of above info

https://statistics.laerd.com/statistical-guides/measures-central-tendency-mean-mode-median-faqs.php

Answer 7

For The modes I got 5'3" 5'4"5'7" and 6'0"

Answer 8

I don't know for sure.

I am thinking mean and median but not mode.

Do you know the answer to that wrestler weight problem?

Answer 9

Yeah it was median and mean

Answer 10

Does that mean this one is median and mean too

Answer 11

Not necessarily. Let me back over and look at that weight data again. It seems that outliers distort the mean I'm not certain we have outliers here.

Answer 12

Ok

Answer 13

Gosh, it's a tough call. I think I would go with median and mean but I can't say for sure that is the answer. I don't see how this data set varies that much from the wrestler data.