Question: Can you please explain how the expert got these answer? Thank you 3. For the grouped frequency distribution of daily high temperatures for City X:

Can you please explain how the expert got these answer? Thank you

Can you please explain how the expert got these answer? Thank you3. For the grouped frequency distribution of daily high temperatures for City

3. For the grouped frequency distribution of daily high temperatures for City X: a. Calculate the mean and standard deviation b. Calculate the range of high temperatures within one, two and three standard deviations of the mean. Temeerature f % cf c% m fm fm2 20-29 9 2% 9 2% 25 225 5,625 30-39 23 6% 32 9% 35 805 28,175 40-49 32 9% 54 18% 45 1,440 64,800 50-59 75 21% 139 38% 55 4,125 226,875 50-59 90 25% 229 63% 55 5,850 380,250 70-79 77 21% 306 34% 75 5,775 433,125 80-89 34 9% 340 93% 85 2,890 245,650 90-99 19 5% 359 93% 95 1,805 171,475 100-109 6 2% 365 100% 105 530 66,150 Total 365 100% 23,545 1,522,125 Continued on the next page X-bar 64.51 52 283.0445 5 16.82393 Lower Upper Interval Bound Bound Xbar : 15 47.7 81.3 Xbar 2 25 30.9 98.2 Xbar : 35 14.0 115.0 Distribution of Daily High Temperatures 20-29 30-39 40-49 50-59 60-69 70-79 80-89 90-99 100-109 Temperature The question did not ask for a histogram of the temperature distribution [histogram rather than a bar graph because temperature is a continuous variable), but here it is. Note the symmetric shape. Because of that, the mode [60-69] and the median {65, if one interpolated within the 60-69 interval) are virtually identical to the mean {64.5}. In contrast, it is in skewed distributions that the mean diverges from the media and mode

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