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Chapter 12: Problem 3

In the following set of test scores, what is the mode and what is the range? Test Scores: \(71,67,75,65,66,32,69,70,72,82,\) 73,68,75,68,75,78 (A) Mode: 68; Range: 75 (B) Mode: 69; Range: 50 (C) Mode: 75; Range: 70.5 (D) Mode: 75; Range: 50

Short Answer

Expert verified
The short answer is: (D) Mode: 75; Range: 50.

Step by step solution

01

Arrange the scores in ascending order

First, we should arrange the given test scores in ascending order to make it easier to determine the mode and range. The ordered test scores are: \(32, 65, 66,67, 68, 68, 69, 70, 71, 72, 73, 75, 75, 75, 78, 82\).
02

Determine the mode

Next, we should find the most frequent score in the ordered test scores. The frequency of scores in the list is as follows: - 68 appears 2 times - 75 appears 3 times No other score appears more than once. So, the mode is 75 since it has the highest frequency.
03

Calculate the range

Finally, we should find the range by subtracting the lowest score from the highest score in the ordered test scores: Range = Highest Score - Lowest Score = 82 - 32 = 50
04

Match the result with the given options

The calculated mode is 75, and the calculated range is 50. Matching these results with the given options, we find that the correct answer is: (D) Mode: 75; Range: 50

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Most popular questions from this chapter

The height of six trees is measured. Is plant 6 taller than the median for all six trees? $$ \begin{array}{|c|c|} \hline \text { Plant } & \begin{array}{c} \text { Height } \\ \text { (inches) } \end{array} \\ \hline 1 & 67 \\ \hline 2 & 61 \\ \hline \end{array} $$ $$ \begin{array}{|c|c|} \hline 3 & 72 \\ \hline 4 & 71 \\ \hline 5 & 66 \\ \hline 6 & 68 \\ \hline \end{array} $$ (A) Yes, the median is 67.3 . (B) No, the median is 67.3 . (C) Yes, the median is 67.5 . (D) No, the median is 67.5 .

A mating is set up between two pure breeding strains of plants. One parent has long leaves and long shoots. The other parent has short leaves and stubby shoots. \(\mathrm{F}_{1}\) plants are collected, and all have long leaves and long shoots. \(\mathrm{F}_{1}\) plants are self-crossed, and \(1,000 \mathrm{~F}_{2}\) plants are phenotyped. The data is as follows: $$ \begin{aligned} &\text { Phenotype }\\\ &\\# \text { of } \end{aligned} $$ $$ \begin{array}{|l|r|} & \mathbf{F}_{2} \\ \hline \text { Long leaves, long shoots } & 382 \\ \hline \begin{array}{l} \text { Long leaves, stubby } \\ \text { shoots } \end{array} & 109 \\ \hline \text { Short leaves, long shoots } & 112 \\ \hline \begin{array}{l} \text { Short leaves, stubby } \\ \text { shoots } \end{array} & 397 \\ \hline \text { Total } & 1,000 \\ \hline \end{array} $$ Are the genes for leaf and shoot length segregating independently? (A) Yes; the degrees of freedom are \(3,\) and the calculated \(\chi^{2}\) value is small. (B) No; the degrees of freedom are 3, and the calculated \(\chi^{2}\) value is large. (C) Yes; the degree of freedom is \(1,\) and the calculated \(\chi^{2}\) value is small. (D) No; the degree of freedom is \(1,\) and the calculated \(\chi^{2}\) value is large.

Two pea plants are crossed, and a ratio of 3 yellow plants to 1 green plant is expected in the offspring. It is found that out of 100 plants phenotyped, 84 are yellow and 16 are green. Do the experimental data match the expected data? (A) Yes, the \(\chi^{2}\) value is greater than 3.84 . (B) Yes, the \(\chi^{2}\) value is smaller than 3.84 . (C) No, the \(\chi^{2}\) value is greater than \(3.84 .\) (D) No, the \(\chi^{2}\) value is smaller than \(3.84 .\)

Given the cross \(A a B b \times a a b b\), what is the probability of having an \(A a b b\) or aaBb offspring? (A) \(\frac{1}{2}\) (B) \(\frac{1}{4}\) (C) \(\frac{1}{16}\) (D) 0

4\. Given the cross \(A a B b C c \times A a B b C c,\) what is the probability of having an \(A A B b C C\) offspring? (A) \(\frac{1}{4}\) (B) \(\frac{1}{8}\) (C) \(\frac{1}{16}\) (D) \(\frac{1}{32}\)
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