Math

QuestionCount the number of zoos with more than 50 bears from the stem-and-leaf plot given.

Studdy Solution

STEP 1

Assumptions1. The stem-and-leaf plot represents the number of bears at each major zoo in the country. . The key indicates that the stem represents the tens digit and the leaf represents the ones digit. For example,4 |1 represents41 bears.
3. We are asked to find the number of zoos that have more than50 bears.

STEP 2

First, we need to understand the stem-and-leaf plot. The stem represents the tens digit and the leaf represents the ones digit. For example, under the stem '2', the leaves '1', '', '6', '6', '7', '7', and '9' represent the numbers21,23,26,26,27,27, and29 respectively.

STEP 3

To find the number of zoos with more than50 bears, we need to count the number of entries in the stem-and-leaf plot that are greater than50. These are the entries under the stems '5', '', and '3'.

STEP 4

Count the number of entries under the stem ''. There are2 entries '0' and '3', representing the numbers50 and53.

STEP 5

Count the number of entries under the stem '4'. There are4 entries '1', '4', '5', and '7', representing the numbers41,44,45, and47.

STEP 6

Count the number of entries under the stem '3'. There are2 entries '1' and '', representing the numbers31 and37.

STEP 7

Now, we need to add up the number of entries under the stems '5', '4', and '3'. This will give us the total number of zoos with more than30 bears.
Numberofzooswithmorethan30bears=Numberunderstem5+Numberunderstem4+Numberunderstem3Number\, of\, zoos\, with\, more\, than\,30\, bears = Number\, under\, stem\, '5' + Number\, under\, stem\, '4' + Number\, under\, stem\, '3'

STEP 8

Plug in the values for the number under each stem to calculate the total number of zoos with more than30 bears.
Numberofzooswithmorethan30bears=2+4+2Number\, of\, zoos\, with\, more\, than\,30\, bears =2 +4 +2

STEP 9

Calculate the total number of zoos with more than30 bears.
Numberofzooswithmorethan30bears=2+4+2=8Number\, of\, zoos\, with\, more\, than\,30\, bears =2 +4 +2 =8

STEP 10

However, we are asked to find the number of zoos with more than50 bears. So, we need to subtract the number of zoos with41 to50 bears from the total number of zoos with more than30 bears.
Numberofzooswithmorethan50bears=Numberofzooswithmorethan30bearsNumberofzooswith41to50bearsNumber\, of\, zoos\, with\, more\, than\,50\, bears = Number\, of\, zoos\, with\, more\, than\,30\, bears - Number\, of\, zoos\, with\,41\, to\,50\, bears

STEP 11

Plug in the values for the number of zoos with more than30 bears and the number of zoos with41 to50 bears to calculate the number of zoos with more than50 bears.
Numberofzooswithmorethan50bears=84Number\, of\, zoos\, with\, more\, than\,50\, bears =8 -4

STEP 12

Calculate the number of zoos with more than50 bears.
Numberofzooswithmorethan50bears=84=4Number\, of\, zoos\, with\, more\, than\,50\, bears =8 -4 =4There are4 zoos that have more than50 bears.

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