Question

common core algebra i b-cr
english
the data set 80, 84, 79, 44, 87, 73, 89, 90, 82, 89, 93, 97, 77, and 71 is graphed below.
use the histogram to answer the questions.
what type of distribution is this?
skewed
what is the mean?
81.071
what is the median?
83
which measure of center is the best choice for this data set?
mean
median
range

Explanation:

Step1: Analyze distribution shape

The histogram has a tail extending to the left (the shortest bar is in the lowest interval), so it is left-skewed (skewed left).

Step2: Verify median validity

Sort data: $44, 71, 73, 77, 79, 80, 82, 84, 87, 89, 89, 90, 93, 97$. There are 14 values, so median = $\frac{82+84}{2}=83$.

Step3: Choose best center measure

For skewed distributions, the median is not affected by extreme outliers (like 44 here), so it is the better measure of center.

Answer:

1. skewed left
2. 81.071
3. 83
4. median