Question
The Data: 12 th -grade students in January 2020 California were asked: How many people usually live in your home, including yourself? Our population is
The Data: 12th-grade students in January 2020 California were asked: How many people usually live in your home, including yourself?
Our population is 12th grades students in California in January 2020. Our sample is the 40 students whose responses are summarized in the table below.
Number in household | Frequency | Relative Frequency | Cumulative Relative Frequency |
1 | 3 | 0.0750 | 0.0750 |
2 | 5 | 0.1250 | 0.2000 |
3 | 8 | 0.2000 | 0.4000 |
4 | 12 | 0.3000 | 0.7000 |
5 | 6 | 0.1500 | 0.8500 |
6 | 4 | 0.1000 | 0.9500 |
9 | 2 | 0.0500 | 1.0000 |
Fill out the following table for the number in household using the data given:
Minimum value | Q1 (first quartile) | Median | Q3 (third quartile) | Maximum value |
Sample Mean | Sample Standard deviation | Mode | Value that is 1.5 standard deviations below the mean | 70th percentile |
Are the data discrete or continuous? Why? Give your answer as a complete sentence.
Fill in the blanks (HINT: IQR) The middle 50% of students in the survey have between _________ and ___________ people in their household.
What does the 70th percentile represent in this problem? (This means interpret the 80th percentile.) Give your answer as a complete sentence. Your answer should include the numerical value of the 70th percentile.
Are there any potential outliers? Which value(s) is (are) it (they)? Use a formula (show work!) to check the end values to determine if they are potential outliers.
Draw a box plot for the data. Your (one) axis should be labelled (with words) and scaled (with numbers). Straight lines should be drawn with a ruler or drawn by computer.
Draw a histogram for the data. Your (two) axes should be labelled (with words) and scaled (with numbers). Straight lines should be drawn with a ruler or drawn by computer. Remember - no data value may be an endpoint of an interval. An interval CANNOT go from 1 to 2. Maybe make the first interval from 0.5 to 1.5, or just put 1 in the middle of the first interval.
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