A city in the Pacific Northwest recorded its highest temperature at 91 degrees Fahrenheit and its lowest temperature at 12 degrees Fahrenheit for a particular year. Use this information to find the upper and lower limits of the first class if you wish to construct a frequency distribution with 10 classes.

The limits of a frequency distribution is the range of value in each class.

The lower and the upper limits of the first class are 12 and 20,  respectively.

The given parameters are:

First, we calculate the range of the distribution

Calculate the class width using:

So, we have:

Approximate

The minimum value of the distribution can be used as the lower limit.

i.e.

The upper limit is calculated using

Hence, the lower and the upper limits of the first class are 12 and 20,  respectively.

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Lower limit: 12 degrees Fahrenheit.

Upper limit: 20 degrees Fahrenheit

Step-by-step explanation:

The lower limit of the first class is always going to be the lowest value. The lowest temperature at 12 degrees Fahrenheit for a particular year. So the lower limit is going to be 12 degrees Fahrenheit.

To find the upper limit of the first class we have to first find the length of each class.

This is the highest temperature subtracted by the lowest, and divided by the number of classes.

91 - 12 = 79

10 classes

79/10 = 7.9 rounded up to 8.

So the upper limit will be 8 added to 12, 8+12 = 20.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

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