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Sagot :
Answer:
To calculate the mean height and the standard deviation of the distribution using the assumed mean method, follow these steps:
Step 1: Calculate the assumed mean (A)
Given: Assumed mean A=168 cm
Step 2: Calculate the deviation from the assumed mean (d)
The deviation from the assumed mean for each class is calculated as:
d=Class midpoint−A
Class Midpoints:
For 156-160 cm: Midpoint =156+160/2=158
For 161-163 cm: Midpoint =161+163/2=162
For 164-166 cm: Midpoint =164+166/2=165
For 167-169 cm: Midpoint =167+169/2=168
For 170-172 cm: Midpoint =170+1722=171
For 173-175 cm: Midpoint =173+1752=174
For 176-180 cm: Midpoint =176+1802=178
Calculating d:
For each class:
156-160 cm: =158−168=−10
161-163 cm: =162−168=−6
164-166 cm: d=165−168=−3
167-169 cm: d=168−168=0
170-172 cm: d=171−168=3
173-175 cm: d=174−168=6
176-180 cm: d=178−168=10
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