1. The maximum temperature was noted, expressed in degrees Celcius, for 10 days taken at random during the year. You can use the statistical functions of your calculator but show the calculations when...

1. The maximum temperature was noted, expressed in degrees Celcius, for 10 days taken at random during the year. You can use the statistical functions of your calculator but show the calculations when asked.
-10 25 15 0 30 20 15 5 10 20
a)  What is the variable to study?
Ans.: The variable to study is the maximum temperature of a random day.
b)  What is the population to study?
Ans.: The population to study is the temperature of 10 days during the year.
c)  What are the statistical units?
Ans.: The statistical unit is the maximum temperature of particular day expressed in degree celcius.
d)  Find the average maximum temperature for the measures taken.
Ans.: Average maximum temperature is given by,
deg. celcius
e)  Find the median for the measures taken
Ans.: Since, there are 10 measurements, the median is same as 10/2th i.e. 5th measurement i.e. median is 30 deg. Celcius.
f)  Find the standard deviation of the measurements taken, Show your calculations.
Ans.: The standard deviation () is given by,
Were, N is total number of samples, gives individual temperature readings, is their mean/average value.
=
Thus, standard deviation is 11.4455.
2. In a study assessing the physical condition of healthy active women, various physiological characteristics were measured, including oxygen uptake (VO2max). Data for 60 women who participated in the study are presented below.
    Oxygen consumption
    19.6
    24.4
    26.9
    28.8
    32.7
    35.8
    21.0
    24.5
    26.9
    29.6
    33.2
    35.8
    23.1
    24.6
    27.3
    29.6
    33.2
    36.6
    23.1
    24.6
    27.3
    30.5
    33.5
    36.6
    23.2
    25.9
    27.5
    30.6
    33.5
    38.1
    23.6
    25.9
    28.0
    30.9
    33.6
    38.1
    23.6
    26.3
    28.0
    31.2
    33.6
    38.4
    23.7
    26.6
    28.6
    31.2
    33.8
    38.4
    23.9
    26.6
    28.6
    31.4
    33.8
    41.7
    23.9
    26.6
    28.8
    32.3
    33.9
    41.7
a) What is the variable studied? What...