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QuestionData set: stem-and-leaf plot. Find total values, min in last class, count & percent (rounded) of values ≥70\geq 70.

Studdy Solution

STEP 1

Assumptions1. The stem-and-leaf plot represents a data set. . The key "4 |5 =45" means that the stem represents the tens place and the leaf represents the ones place of a number.

STEP 2

To find the total number of data values, we count the number of leaves in the plot.

STEP 3

Count the number of leaves in the plot.
Number of data values=2(from stem 5)+7(from stem 6)+6(from stem 7)+3(from stem 8)Number\, of\, data\, values =2 (from\, stem\,5) +7 (from\, stem\,6) +6 (from\, stem\,7) +3 (from\, stem\,8)

STEP 4

Calculate the total number of data values.
Number of data values=2+7+6+3=18Number\, of\, data\, values =2 +7 +6 +3 =18

STEP 5

To find the minimum value in the last class (stem8), we look at the smallest leaf in that class.

STEP 6

The smallest leaf in the last class (stem8) is0, so the minimum value in the last class is80.

STEP 7

To find how many of the original values are greater than or equal to70, we count the number of leaves in the classes with stem7 and.

STEP 8

Count the number of leaves in the classes with stem7 and8.
Number of values ≥70=6(from stem 7)+3(from stem 8)Number\, of\, values\, \geq70 =6 (from\, stem\,7) +3 (from\, stem\,8)

STEP 9

Calculate the number of values greater than or equal to70.
Number of values ≥70=6+3=9Number\, of\, values\, \geq70 =6 +3 =9

STEP 10

To find the percent of values that are greater than or equal to70, we divide the number of values greater than or equal to70 by the total number of data values and multiply by100.
Percent of values ≥70=Number of values ≥70Total number of data values×100%Percent\, of\, values\, \geq70 = \frac{Number\, of\, values\, \geq70}{Total\, number\, of\, data\, values} \times100\%

STEP 11

Plug in the values for the number of values greater than or equal to70 and the total number of data values to calculate the percentage.
Percent of values ≥70=918×100%Percent\, of\, values\, \geq70 = \frac{9}{18} \times100\%

STEP 12

Calculate the percentage of values greater than or equal to70.
Percent of values ≥70=918×100%=50%Percent\, of\, values\, \geq70 = \frac{9}{18} \times100\% =50\%The data set has18 values. The minimum value in the last class is80. There are9 values that are greater than or equal to70.50% of the values are greater than or equal to70.

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