/ A developmental psychologist studies the number of words that seven infants ha
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Question
/ A developmental psychologist studies the number of words that seven infants have learned at a particular age. The numbers are 10, 12, 8, 0, 3, 40, and 18 . Figure the (a) mean, (b) median, and (c) standard deviation for the number of words learned by these seven infants. (d) Explain what you have done and what the results mean to a person who has never had a course in statistics./ A developmental psychologist studies the number of words that seven infants have learned at a particular age. The numbers are 10, 12, 8, 0, 3, 40, and 18 . Figure the (a) mean, (b) median, and (c) standard deviation for the number of words learned by these seven infants. (d) Explain what you have done and what the results mean to a person who has never had a course in statistics.
/ A developmental psychologist studies the number of words that seven infants have learned at a particular age. The numbers are 10, 12, 8, 0, 3, 40, and 18 . Figure the (a) mean, (b) median, and (c) standard deviation for the number of words learned by these seven infants. (d) Explain what you have done and what the results mean to a person who has never had a course in statistics.
Explanation / Answer
10, 12, 8, 0, 3, 40, 18
In all there are 9 values.
Sum of all the values = 10 + 12 + 8 + 0 + 3 + 40 + 18 = 91
(a)Mean = 91 / 7 = 13
(b) Sorting the values
=> 0, 3, 8, 10, 12, 18, 40
Median is the middle value i.e 10.
(c) The sum of squares of differences of the values is
SS = (10 - 13)2 + (12 - 13)2 + (8 - 13)2 + (0 - 13)2 + (3 - 13)2 + (40 - 13)2 + (18 - 13)2
= (-3)2 + (-1)2 + (-5)2 + (-13)2 + (-10)2 + 272 + 52
= 9 + 1 + 25 + 169 + 100 + 729 + 25
= 1058
Variance 2 = 1058 / 7 = 151.14
Standard deviation = 151.14 = 12.294
(d) First we calculated the mean or average of the number of words that the seven infants learned.
Next we calculated the median or the middle values of the number of words.
Then we calculated how much each infant deviated from the average.
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