Question

PLS HELP 40 POINTSS FOR CORRECT ANSWER

Curtis was curious about the average height of the different types of plants in his flower and vegetable
gardens, so he measured each of his plants. This data set shows the heights of the flowers in his garden, in
inches: {8, 6, 9, 6, 14, 9, 5, 7}. This data set shows the heights of the vegetable plants in his garden, in
inches: 36, 12, 36, 48, 24, 12, 6, 10).
(a) What is the mean absolute deviation (MAD) of the flower height data? Show your work.
(b) What is the mean absolute deviation (MAD) of the vegetable height data? Show your work.
(c) Use the data to compare the two gardens. What does the MAD indicate about the variability between
flower and vegetable plant heights?

Answer 1

• See below

Explanation:

Flowers

Heights of the flowers in his garden, in inches:

• {8, 6, 9, 6, 14, 9, 5, 7}
• Number of flowers = 8

Mean

• (8+6+9+6+14+9+5+7)/8 = 8

Absolute deviation

• 8 >> 0, 6 >> 2, 9 >> 1, 6 >> 2, 14 >> 6, 9 >> 1, 5 >> 3, 7 >>1

MAD

• (0+2+1+2+6+1+3+1)/8 = 2

Vegetables

Heights of the vegetable plants in his garden, in inches:

• {36, 12, 36, 48, 24, 12, 6, 10)

• Number of vegetables = 8

Mean

• (36+12+36+48+24+12+6+10)/8 = 23 in

Absolute deviation

• 36 >> 13, 12 >> 11, 36 >> 13, 48 >> 25, 24 >> 1, 12 >> 11, 6 >> 17, 10 >> 13

MAD

• (13+11+13+25+1+11+17+13)/8 = 13 in

===============================================

• a) MAD of flower height = 2 in
• b) MAD of vegetable height = 13 in
• c) MAD for vegetables is much greater compared to MAD for flowers. This is the indication of greater variability of vegetable heights