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# Section 1-5

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Histograms

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### Section 1-5

1. 1. Section 1-5 Histograms
2. 2. Warm-up 86 students took a history quiz . 7% of the students scored below a 70%, 28% of the students scored from 70% to 79%, 46% of the students scored from 80% to 89%, and 19% scored from 90% to 100%. Estimate the number of students in each group. Below 70%: About 6 70% - 79%: About 24 80% - 89%: About 40 90% - 100%: About 16
3. 3. How to create a histogram in your graphing calculator
4. 4. Frequency Histograms: Displays how many values fall into a speciﬁc inter val Relative Frequency Histograms: Displays what percentage of the values fall into a speciﬁc inter val
5. 5. Example 1 Look at the relative frequency histogram on page 39. a. Why is it not possible to tell how many students are in the class just by looking at the histogram? b. If there were 27 students in the class (kind of like there are in here...interesting...), how many students would have scored in the 80-89 inter val? c. In what 10-point inter val does the median fall? How do you know?
6. 6. Example 2 Use the table of relative frequencies. Score 40 ≤ x < 50 50 ≤ x < 60 60 ≤ x < 70 70 ≤ x < 80 80 ≤ x < 90 90 ≤ x < 100 Rel. 2/15 3/15 0 4/15 1/15 5/15 Freq. a. About what percent of the students had scores in the 50-59 inter val? b. About what percent of the students passed?
7. 7. Example 3 Here are some scores from Matt Mitarnowski’s math class: 43 68 73 78 80 88 92 52 70 74 78 82 89 93 65 70 75 78 85 90 94 66 71 75 78 87 90 94 67 72 76 79 87 90 98 Create a histogram using inter vals of 10.
8. 8. Skewed Histogram: A histogram where the data is shifted off to one side or the other.
9. 9. Homework p. 43 #1 - 26