Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2.2: tomato plants: histogram a histogram can be used to represent the …

Question

2.2: tomato plants: histogram
a histogram can be used to represent the distribution of numerical data

  1. the data represent the number of days it takes for different tomato plants to

produce tomatoes. use the information to complete the frequency table.
47 52 53 55 57
60 61 62 63 65
65 65 65 68 70
72 72 75 75 75
76 77 78 80 81
82 85 88 89 90

days to produce fruitfrequency
50–60
60–70
70–80
80–90
90–100
  1. use the set of axes and the information in your table to create a histogram.

(there is a coordinate system with the vertical axis labeled number of tomato plants (ranging from 1 to 10) and the horizontal axis labeled days to produce fruit (ranging from 30 to 100, with marks at 30, 40, 50, 60, 70, 80, 90, 100))

Explanation:

Step1: Count 40 - 50

Check data: 47. So count = 1.

Step2: Count 50 - 60

Data: 52, 53, 55, 57. Count = 4.

Step3: Count 60 - 70

Data: 60, 61, 62, 63, 65, 65, 65, 68. Count = 8.

Step4: Count 70 - 80

Data: 70, 72, 72, 75, 75, 75, 76, 77, 78. Count = 9.

Step5: Count 80 - 90

Data: 80, 81, 82, 85, 88, 89. Count = 6.

Step6: Count 90 - 100

Data: 90. Count = 1.

Answer:

days to produce fruitfrequency
50 - 604
60 - 708
70 - 809
80 - 906
90 - 1001

For the histogram (step 2), plot bars with heights equal to the frequencies for each interval (40 - 50: height 1, 50 - 60: height 4, 60 - 70: height 8, 70 - 80: height 9, 80 - 90: height 6, 90 - 100: height 1) on the given axes, with the x - axis as "days to produce fruit" and y - axis as "number of tomato plants".