Roberta grows pea plants, some in shade and some in sun. She picks 8 plants of each type at random and records the heights. Shade plant heights (in.) 7 12 12 8 9 8 8 8 Sun plant heights (in.) 19 24 20 23 24 23 23 20

The difference in mean and range are 13 and 0 respectively.

We are to find the difference in mean and range of the plant height.

Given the Shade plant heights expressed as 7 12 12 8 9 8 8 8

Mean =  7 + 12+12+ 8+ 9+ 8+ 8+ 8

Mean = 72

Sample size = 8

Range = Highest value - Lowest value

Range = 21 - 7

Given the Sun plant heights expressed as 19 24 20 23 24 23 23 20

Mean =  19+ 24+ 20+ 23+ 24+ 23+ 23+ 20

Mean = 176

Sample size = 8

Range = Highest value - Lowest value

Range = 24 - 19

Evaluate the difference in mean

Difference in mean = 22 - 9

Difference in mean = 13

Evaluate the difference in range

Difference in range = 5 - 5

Difference in range = 0

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2.6

Step-by-step explanation:

Step 1: Calculate the mean of Shade's plant heights.

= 7+12+12+8+9+8+8+8/8

= 72/8

=9

Step 2: Calculate the range of Shade's plant heights. Range is highest minus lowest number. This will be:

12 - 7 = 5

Step 3: Calculate the mean of Sun plant heights.

19+24+20+23+24+23+23+20/8

= 176/8

= 22

Step 4: Find the range of Sun plants height.

= 24 - 19 = 5

Step 5: Find the difference of means

= 22 - 9

= 13

Step 6: Divide the difference of means by the range.

= 13 ÷ 5

= 2.6

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