Question

7. Computing the mean from a frequency distribution table Aa Aa You are a physician who is interested in the role of social support in immune function. You ask a sample of your patients to report their number of close friends to see whether the number of close friendships correlates with the frequency of illness. he sample scores for the number of episodes of illness during the most recent year are organized into the following frequency distribution table. Number of Episodes of Illness Number of Patients Total Episodes of Illness 0 14 15 16 10 12 4 Calculate n, ΣΧ, and M. (Note: ΣΧ denotes the sum of all scores across the entire sample, not the sum of the column labelled X.)

Answer 1

Solution:-

FX 0 4 14 15 16 10 12 0 4 4 4 Sum Mean 30 3.75 78 9.75

n = 30

$\sum X = 78$

$Mean = \frac{\sum FX}{n}$

$Mean = \frac{78}{30}$

Mean = 2.60