You are interest in the development of language in You are able to locate five f

Question

You are interest in the development of language in You are able to locate five families in the world with 18-month-old toddlers who are learning both Hebrew and Korean simultaneously. Given that these are the only families that fit this qualification, therefore, these five families are your study population. You test the children to see how many words they can speak in Hebrew. The results are listed in the following table. Evaluate the mean for this population. the following table. the variance and standard deviation for this population.

Explanation / Answer

Solution:

For the given sample data for number of words (X), we have to find mean, variance and standard deviation.

Formulas for mean, variance and standard deviation are given as below:

Mean = X/n

Variance = (X - µ)2 / (n – 1)

SD = sqrt[(X - µ)2 / (n – 1)]

Calculation table is given as below:

Toddler

Number of words (X)

(X - µ)

(X - µ)2

A

30

-21

441

B

86

35

1225

C

47

-4

16

D

34

-17

289

E

58

7

49

Total

255

2020

Mean

51

Mean = X/n = 255/5 = 51

Mean =µ = 51

Variance = (X - µ)2 / (n – 1) = 2020/(5 – 1) = 2020/4 = 505

Variance = 505

SD = sqrt[(X - µ)2 / (n – 1)] = sqrt(505) = 22.47220505

SD = 22.47220505

Toddler

Number of words (X)

(X - µ)

(X - µ)2

A

30

-21

441

B

86

35

1225

C

47

-4

16

D

34

-17

289

E

58

7

49

Total

255

2020

Mean

51

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