If I I'm trying to find the average weight of a 2nd grade girl which would be the most effective and why? Mean, Median or Mode?

If I'm trying to find the average cost of a home in a city which would be the most effective and why? Mean, Median or Mode?

If I'm trying to find the average test score for a test which would be the most effective and why? Mean, Median or Mode?

average = mean

Yes but we need find the most effective choice so for the test scores I believe it's "mean". But for the average cost of a house and the average weight of a child I'm not sure which is the most effective. I'm guessing median for the average weight and mean for the average cost but I'm not sure if those are the most effective or not. What do you think?

The questions clearly state that the average is required for each.

Okay so no matter what...if the sentence says the word average in it then it's automatically the mean?

Yes.

The writer of the test question may have wanted the most effective measure -- but that's not what the question actually says. You may want to check with your teacher.

an rope 10 feet long is tied to the top of a pole? if the rope is pulled tightly how for form the bottom of the pole should the rope be staked to the ground?

To find the most effective measure of average for each scenario, let's discuss the differences between mean, median, and mode.

1. Finding the average weight of a 2nd grade girl:
- Mean: The mean calculates the average by summing all the data and dividing it by the number of data points. This method assumes that the data is normally distributed. It may not be the most effective option for this scenario as outliers could significantly affect the result. For instance, if there is a child with an exceptionally high or low weight, it can skew the mean.
- Median: The median is the middle value in a sorted dataset. It would be an effective measure to determine the average weight of a 2nd grade girl since it allows you to ignore outliers and focuses on the central tendency. Sorting the weights and picking the middle value would provide a more representative measure of the average weight for this specific scenario.
- Mode: The mode represents the most frequently occurring value in a dataset. However, it may not be particularly relevant for this scenario because it will only indicate the most common weight and not the average weight.

2. Finding the average cost of a home in a city:
- Mean: The mean is generally used when calculating the average, as it considers all the data points and provides a comprehensive representation of the average cost of homes in a city. Outliers can still influence the final result, so it's essential to consider other factors when interpreting the mean.
- Median: The median would also be a valuable measure to consider, as it can potentially provide a more stable representation of the average cost of homes. In scenarios where the dataset contains extreme outliers, the median would disregard those values and provide a more accurate measure of central tendency.
- Mode: The mode is not particularly relevant when calculating the average cost of homes because it only identifies the most common cost, which may not provide an accurate representation of the average cost.

3. Finding the average test score for a test:
- Mean: The mean is commonly used in finding the average test score, as it considers all the scores to determine the average. It provides an overall measure of performance for the entire class or group.
- Median: The median would be effective if there are outliers that might affect the mean. For example, if there are a few exceptionally high or low scores, the median would provide a more representative measure of the average performance. It disregards extreme values and focuses on the middle value(s).
- Mode: The mode might not be the most useful measure to find the average test score, as it only indicates the most frequent score obtained, which may not represent the average score accurately.

In summary, the choice between mean, median, and mode depends on the data distribution, presence of outliers or extreme values, and the desired focus on central tendency. While the mean is commonly used, it's essential to consider the characteristics of the data and choose an appropriate measure of average accordingly.