Question

HELP ASAP MY MOM SUPER MAD AT ME ASAP ASAP ASAP ASAP

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 10 to 19, up to 2 above 30 to 39, up to 6 above 40 to 49, and up to 8 above 50 to 59. There is no shaded bar above 20 to 29.

Which measure of center should the charity use to accurately represent the data? Explain your answer.

The median of 45.2 is the most accurate to use to show that they need more money.
The median of 49 is the most accurate to use, since the data is skewed.
The mean of 49 is the most accurate to use to show that they have plenty of money.
The mean of 45.2 is the most accurate to use, since the data is skewed.

Answer 1

The answer to your problem is B. The median of 49 is the most accurate to use, since the data is skewed.

Explanation:

In statistics, the median is a measure of central tendency that represents the value separating the higher half of a dataset from the lower half.

To find the median of a dataset, the values must first be arranged in order of magnitude. If the dataset has an odd number of values, the median is the middle value. If the dataset has an even number of values, the median is the average of the two middle values.

To determine the best measure of center for this data, we need to consider the shape of the distribution. Looking at the histogram, we can see that the data is skewed to the right, with a long tail of higher values.

In this case, the median is the best measure of center, because it is not affected by the extreme values in the dataset. The median is the middle value of the dataset when it is arranged in order, and in this case, the middle value is between 49 and 50. Since there are an even number of data points, we take the average of the two middle values, which gives a median of 49.

We are given that:

The list of donation is as follows:

11, 18, 35, 39, 45, 45, 46, 47, 49, 49, 50, 50, 50, 50, 56, 57, 58, 59

!Remember! Mean is the middle term of the data

Here, Middle term of data = 49

Therefore, the mean of the given list will be 49.

Thus the answer to your problem is, B. The median of 49 is the most accurate to use, since the data is skewed.

! Tell me if you have any problems it may be overwhelming !

Answer 2

Option A is the most accurate answer.

The data is skewed to the right, with more values clustered towards the higher end of the range. The median, which is the middle value when the data is arranged in order, is less affected by extreme values compared to the mean. In this case, the median donation amount is $45.2, which represents the value at which half of the donations are above and half are below.

Using the median as the measure of center would be appropriate to represent the typical donation amount, as it is not influenced by the outliers or extreme values in the data. Option B and D are incorrect because they suggest using the mean, which can be distorted by extreme values. Option C is also incorrect as it does not accurately represent the data, as the mean is also affected by outliers.