Tia, Bill, Kay, and Marco counted the number of fireflies they saw each day for a week in the summer. They each put their numbers in order from least to greatest.
Tia: 9, 12, 15, 18, 21, 24, 27
Bill: 3, 6, 8, 18, 20, 21, 22
Kay: 14, 15, 16, 18, 24, 27, 32
Marco: 2, 6, 10, 14, 18, 22, 26
Whose data is skewed left?
A.
Tia's data
B.
Bill's data
C.
Kay's data
D.
Marco's data
A. Tia's data
To determine which data is skewed left, we need to look at the distribution of the data sets. Skewed left means that the tail of the distribution is on the left side, indicating more values are clustered towards the higher end.
Let's analyze each data set:
Tia: 9, 12, 15, 18, 21, 24, 27
- Tia's numbers appear to be distributed evenly.
Bill: 3, 6, 8, 18, 20, 21, 22
- Bill's numbers start with lower values but gradually increase.
Kay: 14, 15, 16, 18, 24, 27, 32
- Kay's numbers seem to be distributed evenly, with a slight increase towards the higher end.
Marco: 2, 6, 10, 14, 18, 22, 26
- Marco's numbers show a gradual increase as well.
Based on the given data, the data set that is skewed left is Bill's data (B). The initial values are lower, and the later values gradually increase.
To determine whose data is skewed left, we need to understand what it means for data to be skewed left. Skewness is a measure of the asymmetry of a probability distribution. When a distribution is skewed left, it means that the tail of the distribution extends towards the left side.
To analyze the data, we can look at the lowest values and the shape of the distribution. Let's compare each person's data:
- Tia's data: The lowest value is 9, and the data increases consistently from there.
- Bill's data: The lowest value is 3, and the data increases but has a jump from 8 to 18.
- Kay's data: The lowest value is 14, and the data increases consistently.
- Marco's data: The lowest value is 2, and the data increases consistently.
From the analysis, we can see that Tia's data has the smallest lowest value and has a consistent increase in value. This indicates that Tia's data is not skewed left. Bill's data also has a jump from 8 to 18, suggesting it might not be skewed left either. Kay's and Marco's data both have consistent increases in values.
Therefore, the answer is:
D. Marco's data