For an odd number of data points (7 in this case), the median is the middle value when the data is arranged in order. Since there are 7 values, the median is the 4th value: 58, 60, 62, 64, 66, 68, 70. So the median line in the box plot will be at 64 inches. Choice B confuses position with value. Choice C incorrectly applies the even-number median rule. Choice D confuses median with mean.

In the dot plot, individual values show: 2(1 dot), 4(2 dots), 6(3 dots), 8(2 dots). In the histogram: interval 1-2 has frequency 1, interval 3-4 has frequency 2, interval 5-6 has frequency 3, interval 7-8 has frequency 2. The 5-6 interval combines the most individual data points (3) and shows the biggest change from individual value representation to grouped representation. Choice A is wrong because 1-2 only has one value. Choice B has a moderate change. Choice D incorrectly focuses on numerical range rather than frequency differences.

A dot plot would stack 4 dots above the value 12, clearly showing that 12 appears exactly 4 times in the dataset. It would also stack 2 dots above 14 and 2 above 18, making the frequencies of repeated values immediately visible. A histogram with intervals would group values together (like 12-15 containing both 12s and 14s), making it harder to see the exact frequency of individual values. Choice A reverses this relationship. Choice C is incorrect because the displays show information differently. Choice D is wrong because dot plots actually show individual values clearly, including potential outliers.

In a dot plot, each occurrence of a value gets represented by one dot stacked above that value on the number line. Counting the occurrences of 3 in the data: 3, 5, 2, 7, 3, 8, 4, 3, 6, 5, 2, 4, 3, 7, 5. The value 3 appears exactly 4 times, so 4 dots will be stacked above 3. Choice A miscounts by one. Choice C confuses the concept by counting nearby values. Choice D incorrectly uses the position of the first 3 in the list.

Tests displaying numerical data in statistical plots on number line: dot plots (dots stacked at values), histograms (bars for binned intervals), box plots (five-number summary with box and whiskers). Dot plot: number line with values, stack dots vertically above each value (if data has three 7's, three dots stacked at 7 on number line, shows frequency by stack height and distribution by position). Histogram: bin data into intervals (60-69, 70-79, etc.), draw bars with heights=frequencies (7 students scored 70-79: bar height 7), bars touch (continuous data), shows shape (symmetric, skewed) and frequency distribution. Box plot: five-number summary (min, Q1, median, Q3, max), draw box from Q1 to Q3 (IQR=middle 50%), line at median inside box, whiskers extend to min and max (shows spread and center, identifies outliers if beyond whiskers). For the sorted data 11,12,12,13,14,15,16, the correct box plot uses min 11, Q1 12 (median of lower half 11,12,12), median 13, Q3 15 (median of upper half 14,15,16), max 16, with box from 12 to 15, median line at 13, and whiskers to 11 and 16. Errors include wrong Q3 like 14 or boxing from min to max. Creating a box plot: order data, find five-number summary, draw box and whiskers; this shows the data is fairly symmetric around the median.

Tests displaying numerical data in statistical plots on number line: dot plots (dots stacked at values), histograms (bars for binned intervals), box plots (five-number summary with box and whiskers). Dot plot: number line with values, stack dots vertically above each value (if data has three 7's, three dots stacked at 7 on number line, shows frequency by stack height and distribution by position); Histogram: bin data into intervals (60-69, 70-79, etc.), draw bars with heights=frequencies (7 students scored 70-79: bar height 7), bars touch (continuous data), shows shape (symmetric, skewed) and frequency distribution; Box plot: five-number summary (min, Q1, median, Q3, max), draw box from Q1 to Q3 (IQR=middle 50%), line at median inside box, whiskers extend to min and max (shows spread and center, identifies outliers if beyond whiskers). For example, data 5,6,6,7,7,7,8,8,10 displayed as dot plot: number line 5-10, stack dots (one at 5, two at 6, three at 7, two at 8, one at 10, shows mode at 7 with most dots); or histogram: scores binned 60-69(3), 70-79(7), 80-89(5), 90-100(2), bars touching at heights 3,7,5,2; or box plot: data 20,25,30,35,40,50,60 gives min=20, Q1=27.5, median=35, Q3=45, max=60, plot shows box from 27.5 to 45, line at 35, whiskers to 20 and 60. The correct box plot for the plant heights is choice A, with min 12, Q1=14.5, median 15.5, Q3=19, max 21, box from 14.5 to 19, median line at 15.5, and whiskers to 12 and 21. Common errors include incorrect quartiles and boxing from min to max (choice B), missing the median line (choice C), or wrong five-number summary values (choice D). Creating dot plot: (1) draw number line with appropriate scale (min to max of data), (2) mark each data value with dot above number line, (3) stack dots if repeated values (three 7's→three dots stacked at 7); Box plot: (1) find five-number summary (min, Q1, median, Q3, max from ordered data), (2) draw box from Q1 to Q3, (3) line at median, (4) whiskers to min/max. Interpreting: dot plot shows exact values and mode (most dots), histogram shows shape and frequency distribution, box plot shows spread (IQR, range) and center (median); Mistakes: dot plot stacking horizontal, histogram gaps, box plot box wrong extent, scale issues, frequency errors.

Tests displaying numerical data in statistical plots on number line: dot plots (dots stacked at values), histograms (bars for binned intervals), box plots (five-number summary with box and whiskers). Dot plot: number line with values, stack dots vertically above each value (if data has three 7's, three dots stacked at 7 on number line, shows frequency by stack height and distribution by position). Histogram: bin data into intervals (60-69, 70-79, etc.), draw bars with heights=frequencies (7 students scored 70-79: bar height 7), bars touch (continuous data), shows shape (symmetric, skewed) and frequency distribution. Box plot: five-number summary (min, Q1, median, Q3, max), draw box from Q1 to Q3 (IQR=middle 50%), line at median inside box, whiskers extend to min and max (shows spread and center, identifies outliers if beyond whiskers). For the data 1,2,2,3,3,3,4,5,5,6, the correct dot plot has counts 1→1 dot, 2→2 dots, 3→3 dots, 4→1 dot, 5→2 dots, 6→1 dot, stacked vertically. Errors include incorrect counts like swapping frequencies or placing dots horizontally instead of stacking. Creating a dot plot involves drawing a number line from min to max, placing a dot for each data point above its value, and stacking for repeats; this plot shows the mode at 3 with the tallest stack.

Tests displaying numerical data in statistical plots on number line: dot plots (dots stacked at values), histograms (bars for binned intervals), box plots (five-number summary with box and whiskers). Dot plot: number line with values, stack dots vertically above each value (if data has three 7's, three dots stacked at 7 on number line, shows frequency by stack height and distribution by position). Histogram: bin data into intervals (60-69, 70-79, etc.), draw bars with heights=frequencies (7 students scored 70-79: bar height 7), bars touch (continuous data), shows shape (symmetric, skewed) and frequency distribution. Box plot: five-number summary (min, Q1, median, Q3, max), draw box from Q1 to Q3 (IQR=middle 50%), line at median inside box, whiskers extend to min and max (shows spread and center, identifies outliers if beyond whiskers). For showing exact temperatures like 62 (twice), 64 (thrice) and their frequencies in a small dataset, the best choice is a dot plot, which displays each value with stacked dots for repeats. Other plots like histograms bin values losing exactness, box plots summarize without frequencies, and pie charts suit categorical data not numerical. Choosing and creating: select dot plot for precise value display; mistakes include using histograms for small exact data sets.

Tests displaying numerical data in statistical plots on number line: dot plots (dots stacked at values), histograms (bars for binned intervals), box plots (five-number summary with box and whiskers). Dot plot: number line with values, stack dots vertically above each value (if data has three 7's, three dots stacked at 7 on number line, shows frequency by stack height and distribution by position). Histogram: bin data into intervals (60-69, 70-79, etc.), draw bars with heights=frequencies (7 students scored 70-79: bar height 7), bars touch (continuous data), shows shape (symmetric, skewed) and frequency distribution. Box plot: five-number summary (min, Q1, median, Q3, max), draw box from Q1 to Q3 (IQR=middle 50%), line at median inside box, whiskers extend to min and max (shows spread and center, identifies outliers if beyond whiskers). For example, data 5,6,6,7,7,7,8,8,10 displayed as dot plot: number line 5-10, stack dots (one at 5, two at 6, three at 7, two at 8, one at 10, shows mode at 7 with most dots). The best plot type to show each exact value and frequency is dot plot, which is option B. An error would be choosing histogram which bins data and hides exact values, or box plot which summarizes without frequencies. Creating dot plot: (1) draw number line with appropriate scale (min to max of data), (2) mark each data value with dot above number line, (3) stack dots if repeated values (three 7's→three dots stacked at 7). Interpreting: dot plot shows exact values and mode (most dots). Mistakes: choosing inappropriate plot type for small data sets where exact values are needed.

Tests displaying numerical data in statistical plots on number line: dot plots (dots stacked at values), histograms (bars for binned intervals), box plots (five-number summary with box and whiskers). Dot plot: number line with values, stack dots vertically above each value (if data has three 7's, three dots stacked at 7 on number line, shows frequency by stack height and distribution by position); Histogram: bin data into intervals (60-69, 70-79, etc.), draw bars with heights=frequencies (7 students scored 70-79: bar height 7), bars touch (continuous data), shows shape (symmetric, skewed) and frequency distribution; Box plot: five-number summary (min, Q1, median, Q3, max), draw box from Q1 to Q3 (IQR=middle 50%), line at median inside box, whiskers extend to min and max (shows spread and center, identifies outliers if beyond whiskers). For example, data 5,6,6,7,7,7,8,8,10 displayed as dot plot: number line 5-10, stack dots (one at 5, two at 6, three at 7, two at 8, one at 10, shows mode at 7 with most dots); or histogram: scores binned 60-69(3), 70-79(7), 80-89(5), 90-100(2), bars touching at heights 3,7,5,2; or box plot: data 20,25,30,35,40,50,60 gives min=20, Q1=27.5, median=35, Q3=45, max=60, plot shows box from 27.5 to 45, line at 35, whiskers to 20 and 60. The correct dot plot for kids' ages is choice A, with dots stacked vertically at 10(2), 11(3), 12(2), 13(1), 14(2) on an even scale from 10 to 14. Common errors include swapping frequencies like 11(2) and 12(3) (choice B), misplacing dots below the line (choice C), or incorrect counts such as 10(1) and 14(3) (choice D). Creating dot plot: (1) draw number line with appropriate scale (min to max of data), (2) mark each data value with dot above number line, (3) stack dots if repeated values (three 7's→three dots stacked at 7). Interpreting: dot plot shows exact values and mode (most dots), histogram shows shape and frequency distribution, box plot shows spread (IQR, range) and center (median); Mistakes: dot plot stacking horizontal, histogram gaps, box plot box wrong extent, scale issues, frequency errors.