Would you estimate that this distribution is normally distributed, positively skewed, or negatively skewed? Explain your choice
A marketing researcher for a toothpaste company wants to know how often on average people brush their teeth per day. He obtains a sample of 25 adults. Their responses to his question are summarized in the following simple frequency distribution:
X f
10 1
9 0
8 0
7 3
6 3
5 0
4 4
3 3
2 8
1 2
0 1
Ans: The data appear to have a positive skew because most people tend to brush their teeth relatively few times (mode = 2, with a median of 3, but a mean of 3.68, which is being pulled higher by a few high scores).
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