Question

need accurate answers

Answer 1

Answer:

sorry i can't write this answer because i write your answer and you delete this question

Answer 2

Answer:

The range, average deviation, standard deviation, and variance for the given data are 24, 7.10, 8.03, and 64.4809 respectively.

Range:

• The range of a given set of data is the difference between the highest value and the lowest value present in the data.
• $Range=Highest value - Lowest value$
• It gives an idea about the spread of values in the data.

Average Deviation:

• Average deviation is the deviation of each value in the data from the mean value.
• It is given as a summation of all the deviations divided by the total number of values in the data.
• $AverageDeviation=$$\frac{1}{n}$∑$|x_{i}-Mean|$, where n is the total number of values, $x_{i}$ is each value with i=1 to n.
• It is used for characterizing dispersion.

Standard Deviation:

• Standard deviation gives a measure of the variation or dispersion of the data relative to the mean or expected value of the data.
• It tells how spread out the data is.
• Standard deviation is the square root of the variance.
• $S=\sqrt{\frac{sum(x_{i}-Mean)^{2} }{n} }$

Variance:

• Variance gives the measure of the spread between the numbers in a data.
• It measures how far each value in the data is from the mean and every other value in the data.
• It is a measure of variability.
• $S^{2} =\frac{sum(x_{i}-Mean)^{2} }{n}$

Step-by-step explanation:

Step 1: Range

$Range = Highest Value-Lowest Value$

$Range = 71-47$

$Range =24$

Step 2: Average Deviation

$Average Deviation = \frac{1}{n}$∑$|x_{i}-Mean|$

Using the values calculated in the table,

$Average Deviation=\frac{49.71}{7}$

$Average Deviation=7.10$

Step 3: Standard Deviation

$S=\sqrt{\frac{sum(x_{i}-Mean)^{2} }{n} }$

Using values calculated in the table,

$S=\sqrt{\frac{451.4287}{7} }$

$S=\sqrt{64.4898}$

$S=8.03$

Step 4: Variance

$S^{2} =\frac{sum(x_{i}-Mean)^{2} }{n}$

Using values calculated in the table,

$S^{2} =\frac{451.4287}{7}$

$S^{2}=64.4898$

Therefore, the range is 24, the average deviation is 7.10, the standard deviation is 8.03, and the variance is 64.4898

#SPJ3