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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 ]
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
Answers
1. $7 and $8   2. 11 people   3. $248


4.                                  5.




6.                                  7.

More Related Content

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.