Planning with measures of Variations . Skewed Data)

Symmetric Data are defined as data sets whose values are evenly spread around the centre. Which option states this definition?

• Data sets whose values are evenly spread around the centre

• Data sets that are not symmetric

• Data sets where Mean < Median

• Data sets where Mean = Median

Skewed Data are defined as data sets that are not symmetric. Which option states this definition?

• Data sets whose values are evenly spread around the centre

• Data sets that are not symmetric

• Data sets where Mean = Median

• Summation notation, indicating the sum of a set of data

• The standard deviation of a set of data

• The range of tree prices

• Jim's total sales across all locations

Explain how Jim Tree uses the concept of range to analyze his tree sales at different locations, and why he questions the sole use of range in his analysis.

• He averages sales at each location and doubts the average because it always equals the median when data vary.

• He lists total sales for each location and questions totals because larger stores always have larger ranges.

• He uses the median sale at each location and questions it because the median ignores extreme values while the range does not.

• He calculates the difference between the highest and lowest sales at each location to compare variability, but he questions relying only on range because a single extreme value can distort the result and it does not show the overall distribution.

Tags

CCSS.7.SP.B.4

To calculate the variance and standard deviation of his tree sales. Why are these calculations more helpful than just finding the range?

• Find the mean of the sales, calculate each sale’s squared deviation from the mean, average those squared deviations to get the variance, then take the square root to get the standard deviation; these are more helpful because they use all the data and show typical spread around the mean, not just the extremes.

• Add all the sales and subtract the smallest sale; this is more helpful because it is faster than other methods.

• Count the number of sales and divide by the range; this is more helpful because it gives a percentage.

• Choose the highest and lowest sales weeks and compare them; this is more helpful because it focuses on the extremes only.

The best description of the data is ​ ​ (a)   . ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

• range

• mean

• skewed left
• mean
• range
• skewed right
• symmetric
• symmetric with an outlier

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

The best description of the data is ​ ​ (a)   . ​ ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

​

• range

• mean

• skewed left
• median
• IQR
• skewed right

• symmetric

• symmetric with an outlier

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

The best description of the data is ​ (a)   . ​ ​ The most appropriate measure of center is the​ (b)   . The most appropriate measure of variability is the ​ (c)   .

• range

• mean

• IQR
• median
• skewed right
• symmetric

• symmetric with an outlier

• skewed left

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Which of the dot plots shows a symmetric distribution?

• 
• 
• 
• 

Lizzy had test scores of:   72, 94, 108, 60
What is the RANGE of her test scores?

Mathematical Equivalence

ON

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1