[Video] Q23: The tables below give the distribution of high temperatures in degrees fahrenheit (°f) for city a and city b over the same 21 days in march. which of the following is true about the data shown for these 21 days?

Answer Choices

  • The standard deviation of temperatures in City A is larger.

  • The standard deviation of temperatures in City B is larger.

  • The standard deviation of temperatures in City A is the same as that of City B.

  • The standard deviation of temperatures in these cities cannot be calculated with the data provided.

Explanation for Question 23 From the Math (Calc) Section on the Official Sat Practice Test 4

Not for question number 23, we're trying to, uh, 2 summarize or I guess describe the data for these 21 days 3 in our two cities. Right. 4 And so we'll see, you know, what are we talking about? 5 What are we really comparing here? And each of our answer choices talks about 6 standard deviation. 7 And so you might be, you know, a little thrown off by this question 8 because maybe you don't know how to calculate standard deviation, 9 but for this question, you don't need to know how to calculate it. 10 You simply need to know a general idea of what it is. 11 And standard deviation is really another word for spread or variation around 12 the mean, for example, 13 right? If you have three test scores, 14 um, and you got a 95 and 96 and a 97, 15 those are really close together, right. They're not super spread out. 16 So you would have a low standard deviation. 17 Whereas if you got a 60 and 90, 18 or maybe a 60 and 80 and a 100, these are pretty spread out, 19 right. There's a whole difference of 40 points there rather than three. 20 Like we see up here or even two right there. 21 Um, so this has a high standard deviation because things are really spread out. 22 So that's really just what we are looking at here. 23 And so if we look at a right, we see the bulk of our 24 people, the bulk of our people, uh, 25 the bulk of the days, I suppose, 26 or about 79, um, 27 degrees. And then there's just a little bit everywhere else. 28 Right? So most of our things are huddled by one number, ...

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