Rintu takes care of a date-palm tree farm in Habra. The heights of the tree. Class 7

Rintu takes care of a date-palm tree farm in Habra. The heights of the tree. Class 7

Question 1.

Rintu takes care of a date-palm tree farm in Habra. The heights of the trees (in feet) in his farm are given as: 50, 45, 43, 52, 61, 63, 46, 55, 60, 55, 59, 56, 56, 49, 54, 65, 66, 51, 44, 58, 60, 54, 52, 57, 61, 62, 60, 60, 67. Fill the dot plot, and mark the mean and median. Howwould you describe the heights of these palm trees? Can you think of quicker ways to find the mean? How many trees are shorter than the average height? Class 7

Solution:

Data:

Fill this grid with dots representing 50, 45, 43, 52, etc.

Mean = [latex]\frac {50+45+43+52+61+63+46+55+60+55+59+56+49+54+65+66+51+44+58+60+54+52+57+61+62+60+60+67}{29}[/latex]

= [latex]\frac {1621}{29}[/latex] = 55.9 (approx.)

Ascending order median = 43, 44, 45, 46, 49, 50, 51, 52, 52, 54, 54, 55, 55, 56, 56, 57, 58, 59, 60, 60, 60, 60, 61, 61, 62, 63, 65, 66, 67.

Median = ([latex]\frac {29+1}{2}[/latex])th observation = 15th observation = 56.

Mean = 55.9

Median = 56