Question

construct the cumulative frequency distribution for the given data. daily low temperature (°f) frequency 35 - 39 1 40 - 44 4 45 - 49 5 50 - 54 13 55 - 59 7 60 - 64 9 65 - 69 1 construct the cumulative frequency distribution. daily low temperature (°f) cumulative frequency less than 40 less than 45 less than 50 less than 55 less than 60 less than 65 less than 70

Explanation:

Step1: Initial cumulative frequency

The cumulative frequency for "Less than 40" is the frequency of the first - class interval. Since the first class interval 35 - 39 has a frequency of 1, the cumulative frequency for "Less than 40" is 1.
$1$

Step2: Cumulative frequency for "Less than 45"

We add the frequency of the first two class intervals. The frequency of 35 - 39 is 1 and of 40 - 44 is 4. So, $1 + 4=5$.
$5$

Step3: Cumulative frequency for "Less than 50"

We add the frequencies of the first three class intervals. $1+4 + 5=10$.
$10$

Step4: Cumulative frequency for "Less than 55"

We add the frequencies of the first four class intervals. $1+4 + 5+13=23$.
$23$

Step5: Cumulative frequency for "Less than 60"

We add the frequencies of the first five class intervals. $1+4 + 5+13+7=30$.
$30$

Step6: Cumulative frequency for "Less than 65"

We add the frequencies of the first six class intervals. $1+4 + 5+13+7+9=39$.
$39$

Step7: Cumulative frequency for "Less than 70"

We add the frequencies of all class intervals. $1+4 + 5+13+7+9+1=40$.
$40$

Answer:

Daily Low Temperature ($^{\circ}$F)	Cumulative Frequency
Less than 45	5
Less than 50	10
Less than 55	23
Less than 60	30
Less than 65	39
Less than 70	40