Question

"a. What is the shape of the data? (2 pt)

b. Does the mean = the median? (2 pt)
c. How did you know if it did or not? (1pt)
13
14
15
16
17"

a) What is the shape of the data in this dataset?
b) Does the mean equal the median in this dataset?
c) How did you determine if the mean and median were equal or not?

Answer 1

The shape of the data appears to be a uniform distribution. The mean equals the median in this dataset. The mean and median were determined by calculating the values and comparing them.

Step-by-step explanation:

a) The shape of the data can be determined by creating a histogram or a dot plot. In this dataset, the data is in increasing order, so a dot plot is more appropriate. The shape of the data appears to be a uniform distribution since there is an equal frequency for each value.

b) To determine if the mean equals the median, we can calculate both. The mean is found by adding all the values and dividing by the number of values. The median is the middle value when the data is in increasing order. If the mean and median have the same value, then the mean equals the median.

c) In this dataset, the mean is equal to the median. This can be confirmed by calculating the mean as (13+14+15+16+17)/5 = 15 and finding the middle value of the dataset which is also 15.