Question

Data Set A is a normal distribution

with mean 10 and mean absolute
deviation 2. Data Set B is a normal
distribution with mean 10 and a
mean absolute deviation 5. Which
best describes the data sets? Select
all that apply.
A.) They both have the same shape.
B.) The both have the same median.
C.) They are both symmetric about
the mean.
D.) Data Set A is more spread out
than Data Set B.​

Answer 1

Data set A and B are both normal distributions with a mean of 10. They have different mean absolute deviations (MAD), which affect their spread.

Step-by-step explanation:

The data sets A and B are both normal distributions with the same mean, 10. However, they have different mean absolute deviations (MAD). Data set A has a MAD of 2, while data set B has a MAD of 5.

A.) They both have the same shape: False. Since they have different MAD values, their shapes will be different.

B.) They both have the same median: True. The median is not affected by the spread of the data, so it will be the same for both sets.

C.) They are both symmetric about the mean: True. Being normal distributions, both sets are symmetric about their means.

D.) Data set A is more spread out than data set B: True. The MAD measures the spread of the data, and since data set A has a smaller MAD, it is less spread out than data set B.

Answer 2

Answer:c

Step-by-step explanation: