Math

QuestionDetermine the interval width for 1-20 message checks/day using 4 intervals.

Studdy Solution

STEP 1

Assumptions1. The minimum number of times a consumer checks their messages is1. The maximum number of times a consumer checks their messages is203. We want to create a frequency distribution with four intervals

STEP 2

First, we need to find the range of the data. This can be done by subtracting the minimum value from the maximum value.
Range=MaximumvalueMinimumvalueRange = Maximum\, value - Minimum\, value

STEP 3

Now, plug in the given values for the maximum and minimum values to calculate the range.
Range=201Range =20 -1

STEP 4

Calculate the range.
Range=201=19Range =20 -1 =19

STEP 5

Now that we have the range, we can find the interval width by dividing the range by the number of intervals.
Intervalwidth=Range/NumberofintervalsInterval\, width = Range / Number\, of\, intervals

STEP 6

Plug in the values for the range and the number of intervals to calculate the interval width.
Intervalwidth=19/4Interval\, width =19 /4

STEP 7

Calculate the interval width.
Intervalwidth=19/4=4.75Interval\, width =19 /4 =4.75The interval width is4.75. However, since we can't have a fraction of a time when checking messages, we should round up to the nearest whole number, which is5. So the interval width is5.

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