The following is a sample of 19 Novemeber utilily bills(in dollars) from a neighorhood:

52,62,66,68,72,74,74,76,76,76,78,78,82,84,84,86,88,92,96.
Find the five-number summary.

I don't know what you mean by the "five number summary."

Could they be mean, mode, median, standard deviation and range?

Find the mean first = sum of scores/number of scores

Subtract each of the scores from the mean and square each difference. Find the sum of these squares. Divide that by the number of scores to get variance.

Standard deviation = square root of variance

Mode = most frequently occurring score.

Median = 50th percentile (half the scores have a value above and half below)

Range = highest score - lowest

I'll let you do the calculations.

To find the five-number summary of the given utility bills data, you need to follow these steps:

1. Arrange the data in ascending order:
52, 62, 66, 68, 72, 74, 74, 76, 76, 76, 78, 78, 82, 84, 84, 86, 88, 92, 96.

2. Identify the minimum value:
The minimum value is the smallest number in the data set, which is 52.

3. Identify the maximum value:
The maximum value is the largest number in the data set, which is 96.

4. Find the median:
The median is the middle value in the data set. Since there are 19 numbers, the median is the 10th number, which is 76.

5. Find the lower quartile (Q1):
The lower quartile (Q1) divides the first half of the data from the second half. To find Q1, take the median of the lower half of the data set. In this case, the lower half consists of the first 9 numbers:
52, 62, 66, 68, 72, 74, 74, 76, 76.
The median of this lower half is the 5th number, which is 72.

6. Find the upper quartile (Q3):
The upper quartile (Q3) divides the second half of the data from the first half. To find Q3, take the median of the upper half of the data set. In this case, the upper half consists of the last 9 numbers:
78, 78, 82, 84, 84, 86, 88, 92, 96.
The median of this upper half is the 5th number, which is 84.

Now, we have the five-number summary:
Minimum: 52
Lower Quartile (Q1): 72
Median: 76
Upper Quartile (Q3): 84
Maximum: 96