Understanding drawing histograms
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A histogram is a graph that displays the frequency of data using bars of different heights. It uses intervals on the x-axis to bin the data and the height of each bar represents how many scores fall into that interval. The document provides examples of histograms showing data on student sleep habits, dice rolls, movie ticket prices, coin flips, math test scores, travel times to school, and pet ownership. It includes problems asking readers to interpret data from the histograms and draw their own histograms for additional data sets.
![UNDERSTANDING AND DRAWING HISTOGRAMS
HISTOGRAMS
A histogram is a graph constructed from a frequency table. The intervals are shown on the
horizontal axis and the number of scores are represented by the height of a rectangle located
above the interval.
Example 1
Mr. Cooper surveyed his students about
the amount of sleep they got every night
and here are the results:
5–6 hours 2 students
6–7 hours 5 students
7–8 hours 10 students
8–9 hours 12 students
9–10 hours 1 student
This data is shown in the histogram at
right.
Example 2
Two dice were tossed 100 times. The total points Use the histogram at left to answer
of each toss are represented in the histogram below: each question.
a. Which outcome happened
the most times? [ 7 points]
b. How many times did this
outcome happen? [ 17 ]
c. How many rolls had a total
of less than 6 points? [ 32 ]
d. How many rolls had a total
of 10 or more points? [ 14 ]](https://image.slidesharecdn.com/understandingdrawinghistograms-121202055028-phpapp01/85/Understanding-drawing-histograms-1-320.jpg)
Understanding drawing histograms
- 1. UNDERSTANDING AND DRAWING HISTOGRAMS HISTOGRAMS A histogram is a graph constructed from a frequency table. The intervals are shown on the horizontal axis and the number of scores are represented by the height of a rectangle located above the interval. Example 1 Mr. Cooper surveyed his students about the amount of sleep they got every night and here are the results: 5–6 hours 2 students 6–7 hours 5 students 7–8 hours 10 students 8–9 hours 12 students 9–10 hours 1 student This data is shown in the histogram at right. Example 2 Two dice were tossed 100 times. The total points Use the histogram at left to answer of each toss are represented in the histogram below: each question. a. Which outcome happened the most times? [ 7 points] b. How many times did this outcome happen? [ 17 ] c. How many rolls had a total of less than 6 points? [ 32 ] d. How many rolls had a total of 10 or more points? [ 14 ]
- 2. Problems For problems 1–3, use the histogram at right. 1. What price was most often paid for movie tickets? 2. How many people bought tickets for less than $7? 3. From this survey, what was the total amount spent on movie tickets? For problems 4–7, draw a histogram for the data. 4. Three coins were flipped 20 times and the number of "heads" showing was recorded below: Number of Heads 0 1 2 3 Frequency 3 7 8 2 5. The results for the most recent math test in Ms. Dietiker's class are shown below: 90–100% 8 students 80–89% 10 students 70–79% 7 students 60-69% 4 students 40–49% 2 students 6. Ms. Petersen asked her students how long is required to travel from home to school. The information is shown below: Minutes to School 0–15 16–30 31–45 46–60 61–75 76–90 Frequency 12 10 5 8 0 1 7. Mr. Fernandez asked 30 people at work how many pets they owned. The results are shown below: 0 pets 5 people 1 pet 8 people 2 pets 10 people 3 pets 3 people 4 pets 2 people 5 pets 1 person 15 pets 1 person
- 3. Answers 1. $7 and $8 2. 11 people 3. $248 4. 5. 6. 7.