QuestionFind the lower class limits for a minimum of 20, range of 106, 8 classes, and class width of 14.

Studdy Solution

STEP 1

Assumptions1. The minimum value in the data set is20. The range of the data set is1063. The number of classes is84. The class width is14

STEP 2

First, we need to calculate the upper limit of the first class. This can be done by adding the class width to the minimum value.
$Upper\, limit\, of\, first\, class = Minimum\, value + Class\, width$

STEP 3

Now, plug in the given values for the minimum value and class width to calculate the upper limit of the first class.
$Upper\, limit\, of\, first\, class =20 +14$

STEP 4

Calculate the upper limit of the first class.
$Upper\, limit\, of\, first\, class =20 +14 =34$

STEP 5

Now, we can calculate the lower limit of the next class. This can be done by adding1 to the upper limit of the previous class.
$Lower\, limit\, of\, next\, class = Upper\, limit\, of\, previous\, class +1$

STEP 6

Plug in the upper limit of the first class to calculate the lower limit of the second class.
$Lower\, limit\, of\, second\, class =34 +1$

STEP 7

Calculate the lower limit of the second class.
$Lower\, limit\, of\, second\, class =34 +1 =35$

STEP 8

Repeat steps2-7 for the remaining classes.
The lower class limits are20,35,49,63,77,91,105,119.

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