Explain how to find the lower quartile of a box-and-whisker plot.

Mathematics

2 answers:

Vaselesa [24]3 years ago

8 0

Answer:

The lower quartile is the median of the lower half of the data.

C is the correct option.

Step-by-step explanation:

In a box and whiskers plot, we show the below parameters:-

Maximum value of the data set
Minimum value of the data set
Median of the data set
Lower quartile of the data set
Upper quartile of the data set

In order to find the upper quartile, we evaluate the median of the upper half and to find the lower quartile, we find the median of the lower half of the data.

Hence, the lower quartile is the median of the lower half of the data.

elena55 [62]3 years ago

6 0

C. The lower quartile (of a box-and-whisker plot) is the median of the lower half of the data.
Also referred to as "Q1"

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Find the expected value of the winnings from a game that has the following payout probability distribution: Skip Payout ($) 1 2

Nezavi [6.7K]

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable <em>X</em>, often denoted as E(<em>X</em>), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

$\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})$ .

Therefore, the expected value of the winnings from a game is

$\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})$ .