Question

review day 1
name natalie mwaga hr 3

1. the following are scores on an algebra ii test:

56 57 61 67 67 68 74 75 75 79 81 81 82 85 86
87 96 95 93 47
a) make a histogram of the data, starting at 40 and using a bin width of 10.

class	count

| 40 - 50 |
| 50 - 60 |
| 60 - 70 |
| 70 - 80 |
| 80 - 90 |
| 90 - 100 |
b) in the data above, if a width of 50 had been used, would the resulting histogram model the data well?
c) when is it ideal to use a histogram over a stemplot or dotplot?
d) what type of data is used to create histograms, dotplots, or stemplots?

1. make a dot plot of the following information and describe the distribution.

points on billys homework.
symmetrical
outlier
center is 3
s 0 to 5
\frac{11}{2} 5.5 = 6

Explanation:

Step1: Count data in each bin for part a

For the bin \(40 - 50\), the value \(47\) is in this bin, so the count is \(1\). For \(50 - 60\), the values \(56,57\) are in this bin, count is \(2\). For \(60 - 70\), the values \(61,67,67,68\) give a count of \(4\). For \(70 - 80\), the values \(74,75,75,79\) give a count of \(4\). For \(80 - 90\), the values \(81,81,82,85,86,87\) give a count of \(6\). For \(90 - 100\), the values \(93,95,96\) give a count of \(3\).

Step2: Analyze bin - width in part b

If a bin - width of \(50\) is used, the bins would be \(40 - 90\) and \(90 - 140\). Most of the data would be in the first bin (\(40 - 90\)) and only \(3\) values in the second bin (\(90 - 140\)). This would not show the distribution of the data well as it would group too many different - valued data points together.

Step3: Compare plot types in part c

A histogram is ideal when dealing with large data sets to show the overall distribution of data and the frequency of values in different intervals. Stemplots and dotplots are better for smaller data sets as they show individual data values.

Step4: Identify data type in part d

Quantitative data (both discrete and continuous) is used to create histograms, dotplots, and stemplots.

Answer:

a)

Class	Count
\(50 - 60\)	\(2\)
\(60 - 70\)	\(4\)
\(70 - 80\)	\(4\)
\(80 - 90\)	\(6\)
\(90 - 100\)	\(3\)

b) No, it would not model the data well as it would group too many different - valued data points together.
c) A histogram is ideal when dealing with large data sets to show the overall distribution of data and the frequency of values in different intervals.
d) Quantitative data (both discrete and continuous).