Question

can you find mean, median, mode and range and type the correct code? please remember to type in all caps with no spaces. ages of people in a family stem leaf 0 1,5 1 1,3,7 2 6 3 5,5,5,8 4 2,2 key: 2|6 = 26 answer choices a: 32.5 b: 30 c: 35 d: 30.5 e: 25 f: 26 g: 42 h: 31.5 i: 41 round to the nearest tenth. type the 4 - letter code into the answer box. all caps, no spaces.

Explanation:

Step1: List out the data

The data set from the stem - and - leaf plot is \(1,5,11,13,17,26,35,35,35,38,42,42\).

Step2: Calculate the mean

The sum of the data is \(1 + 5+11+13+17+26+35+35+35+38+42+42 = 290\). There are \(n = 12\) data points. The mean \(\bar{x}=\frac{290}{12}\approx24.2\approx25\) (rounded to the nearest tenth).

Step3: Calculate the median

Since \(n = 12\) (an even - numbered data set), the median is the average of the \(\frac{n}{2}=6\)th and \((\frac{n}{2}+1) = 7\)th ordered data values. The 6th value is \(26\) and the 7th value is \(35\). The median \(M=\frac{26 + 35}{2}=30.5\).

Step4: Calculate the mode

The mode is the number that appears most frequently. The number \(35\) appears \(3\) times, more frequently than any other number, so the mode is \(35\).

Step5: Calculate the range

The range \(R=\text{Max}-\text{Min}\). The maximum value is \(42\) and the minimum value is \(1\), so \(R = 42-1=41\).

Answer:

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