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Examine the following histograms and complete the following statements: Relative to the other data sets, the data represented in Select 1 has a high mean. Relative to the other data sets, the data represented in Select 2 has a low mean and high standard deviation. Histogram A Histogram B Histogram C Histogram D

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00:52

Histogram A(b) Histogram B(c) Histogram CMatch each standard deviation with one of the histograms given above:Histogram Histogram Histogram ‘

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Which histogram depicts higher standard deviation?[[Choose the correct answer below:Histogram depicts the higher standard deviation, because the distribution has more dispersion:B. Histogram depicts the higher standard deviation, because the bars are higher than the average bar in a. D. Histogram depicts the higher standard deviation, because the distribution has more dispersion_Histogram depicts the higher standard deviation , since it is more bell shaped

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‘Which data set represents the histogram?A) {56, 66, 71, 78, 53, 73, 69, 68, 70, 60, 59, 55} B) {57, 66, 76, 78, 57, 53, 69, 68, 71, 68, 59, 55} C) {56, 66, 71, 78, 57, 53, 69, 68, 70, 60, 59, 55} D) {61, 61, 71, 78, 57, 53, 69, 68, 70, 76, 59, 55}Histogram:’

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Below are sketches of histograms for three lists.(a) In scrambled order, the averages are \$40,50,60 .\$ Match the histograms with the averages.(b) Match the histogram with the description: the median is less than the average the median is about equal to the average the median is bigger than the average(c) Is the SD of histogram (ii) around \$5,15,\$ or 50\$?\$(d) True or false, and explain: the SD for histogram (i) is a lot smaller than that for histogram (iii).

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Transcript

They want us to evaluate the histogram and see which 1 has a high mean with a low sense standard deviation, in which 1 has a low mean with the highest standard deviation. I want to start with the means. So when you look at the means, i’m going to look at that horizontal axis, and so i noticed for 2 of them. It goes from 0 to 50. So let’s go that in red. Wet goes from 0 to 50 and then the other 1 goes from 75 to 85 point. So gonna do that 1 in a different color 7585 point, and then we have 1 other 1. That goes from. It looks like 50 to 100 point, so i’m going to put that in the black here 50 to 100 point. So what we have to look at there is the fact that it can’t be that red 1 that says 0 to 50, because those are low numbers on our scale. We also have 1. This is 0 to 20 to 20 point, so those are going to be our low means. Okay, so those would be our lone means because there are low numbers. The other 2 are going to be our high means because they are higher numbers on our scale. So we’re gonna look at those 2 and see which 1 is going to have a low standard deviation. What that means is those bars are going to be close to the means, so most of our bars are gonna. Be values are going to be really close to…