Question

The numbers of courses taught per semester by a random sample of university professors are shown in the histogram.
Make a frequency distribution for the data. Then use the table to estimate the sample mean and the sample standard
deviation of the data set.
Make a frequency distribution for the data.
x f

1 _
2 _
3 _
4 _

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given the plot above :

X______ (f)_____fx____f * x²

1 _______ 2_____2____2

2_______17_____34___68

3_______21_____63___189

4_______16_____64___256

_______56 ____ 163 ___515

Sample mean = Σfx / Σf

Σfx = 163 ; Σf = 56

Hence sample mean = 163 / 56

= 2.91

Standard deviation (s) :

Sqrt[(Σf*x² - (Σfx)²/Σf)) / Σf]

Sqrt [(515 - 474.45) / 56]

= sqrt(40.55 / 56)

= 0.851