ZOOM+2. Researchers studying acid rain recorded the pH level for a sample of 26 watersources in Pennsylvania. The sorted list of the data (some values have beenobscured), the histogram of the data, and some other statistics are below.Histogram of pH levelsSort (pH)Frequency1010-4.12 4.12????4.29??4.31 4.39 4.39 4.404.41 4.45 4.52 4.56 4.574.60????4.73??5.08 5.29 5.51 5.62 5.675.78Summary statistics:Col n Min Max Q1pHQ326 4.12 5.78 4.31 4.82a) Find the median pH level. Carefullyshow your work.b) Considering your answer to part a) andthe histogram, which would be the bestchoice for the sample mean pH level(4.68, 4.56, or 4.00 units)? Explain.c) Find the Range of the pH levels.d) Find the IQR of the pH levels1pH3. The following numbers are a sample of ten of my golf scores from 2020. In golf the “units"are technically called "strokes". Find my mean score and the standard deviation of myscores.98, 94, 88, 90, 86, 92, 86, 85, 84, 87

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Description: ZOOM+2. Researchers studying acid rain recorded the pH level for a sample of 26 watersources in Pennsylvania. The sorted list of the data (some values have beenobscured), the histogram of the data, and some other statistics are below.Histogram of pH

Answered: 3. The following numbers are a sample…

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ZOOM
+
2. Researchers studying acid rain recorded the pH level for a sample of 26 water
sources in Pennsylvania. The sorted list of the data (some values have been
obscured), the histogram of the data, and some other statistics are below.
Histogram of pH levels
Sort (pH)
Frequency
10
10-
4.12 4.12
??
??
4.29
??
4.31 4.39 4.39 4.40
4.41 4.45 4.52 4.56 4.57
4.60
??
??
4.73
??
5.08 5.29 5.51 5.62 5.67
5.78
Summary statistics:
Col n Min Max Q1
pH
Q3
26 4.12 5.78 4.31 4.82
a) Find the median pH level. Carefully
show your work.
b) Considering your answer to part a) and
the histogram, which would be the best
choice for the sample mean pH level
(4.68, 4.56, or 4.00 units)? Explain.
c) Find the Range of the pH levels.
d) Find the IQR of the pH levels
1
pH
3. The following numbers are a sample of ten of my golf scores from 2020. In golf the “units"
are technically called "strokes". Find my mean score and the standard deviation of my
scores.
98, 94, 88, 90, 86, 92, 86, 85, 84, 87

Expert Solution

Step 1

3) Given Information:

The data represents the golf scores from 2020.

Sample size (n) = 10

98, 94, 88, 90, 86, 92, 86, 85, 84, 87

To find the mean score and the standard deviation of my scores:

Mean is the sum of observations divided by the number of observations.

$\begin{array}{rcl} \bar{x} & = & \frac{98 + 94 + 88 + 90 + 86 + 92 + 86 + 85 + 84 + 87}{10} \\ = & \frac{890}{10} \\ = & 89 \end{array}$

Thus, the mean score is 89

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