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2 years ago

The numbers 24, 22, 34, 28, 29, 24, 25 29, a and b have a median of 27 and a mode of 29. Given that a

Mathematics

1 answer:

Delvig [45]2 years ago

8 0

Answer: Median is 26,5 and modes are 24 and 29

Step-by-step explanation: In increasing order numbers are

22, 24 24, 25 , 28, 29 , 29 , 34. Because amount of number is even

median is (25 + 28) / 2 = 26,5 and modes are 24 and 29 because both

numbers exist twice

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2 years ago

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2 years ago

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tensa zangetsu [6.8K]

We have the following data set:

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$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

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$\begin{gathered} \sigma^2=\frac{(2-14)^2+(3-14)^2+\cdots+(15-14)^2}{10} \\ \sigma^2=20.44 \end{gathered}$

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$\begin{gathered} s=\sqrt[]{\frac{\sum ^{}_{}(x-\mu)^2}{N}} \\ s=4.521 \end{gathered}$

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1 year ago