Use the following information to calculate the lower and upper fence: A teacher was interested in how many text messages teenagers got per day. He randomly selected 70 students and asked them how many text messages they received the previous day. The mean (x)=23.1 standard deviation (s x) = 2.55 min = 16. Q1= 20.8 median=22 Q3=26 max=37 the above are the summary statistics for the number of messages received per day?

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To calculate the lower and upper fence, we need to determine the values that define the range of the data that should be considered "normal" and identify any outliers.

To find the lower fence, we use the formula:

Lower fence = Q1 - 1.5 * (Q3 - Q1)

where Q1 is the first quartile.

Plugging in the values given:

Q1 = 20.8

Q3 = 26

Calculating the lower fence:

Lower fence = 20.8 - 1.5 * (26 - 20.8)

Lower fence = 20.8 - 1.5 * 5.2

Lower fence = 20.8 - 7.8

Lower fence = 13

Therefore, the lower fence is 13.

To find the upper fence, we use the formula:

Upper fence = Q3 + 1.5 * (Q3 - Q1)

Plugging in the values given:

Q3 = 26

Calculating the upper fence:

Upper fence = 26 + 1.5 * (26 - 20.8)

Upper fence = 26 + 1.5 * 5.2

Upper fence = 26 + 7.8

Upper fence = 33.8

Therefore, the upper fence is 33.8.

In summary, the lower fence is 13 and the upper fence is 33.8 for the number of text messages received per day based on the given summary statistics. Any values lower than the lower fence or higher than the upper fence would be considered outliers.