El Nino and the mosoon. The earth is interconnected. For example, it appears that El Nino, the periodic warming of the Pacific Ocean west of South America, affects that the monsoon rains that are essential for agriculture in India. Here are the monsoon rains (in millimeters) for the 23 strong El Nino years between 1871 and 2004:

628 669 740 651 710 717 698 653 604 781 784 790 811 830 858 896

806 790 792 957 872

a. To make the stemplot of these rainfall amounts, round the data to the nearest 10, so that are hundress of millimeters and leaves are tens of millimeters. Make 2 stemplots, with and without splitting the stems. Which plot so you prefer?

b. Describe the shape, center, and spread of the distribution.

c. The average monsoon rainfall for all years form 1871 to 2004 is about 850 millimeters. What effect does El Nino appear to have on monsoon rains?

please help

make a plot rounding to the nearest ten:

(1, 630); (2, 670); (3, 740); (4,650); . . .

then a plot rounding to the nearest 100:

(1, 600); (2, 700); (3, 700); (4, 700) . . .

c. What is the average El Nino rain (628 + 669 + 740 + . . . + 872) / 23

Is this less or greater than the monsoon rain

a. To create the stemplot of these rainfall amounts, we will round the data to the nearest 10. This means that the hundreds digit will represent the stem, while the tens digit will represent the leaf.

Without splitting the stems:
60: 4
70: 9 2 8 8 8 1 0 7 6 3 9
80: 0 6 6 8 6 9 2 7 9 2 7
90: 2 5 6 7 8

With splitting the stems:
60: 4
70: 9 8 1 0 7 6 3 9
80a: 0 2 6 6 2
80b: 8 9 7 2 7 9 7 5
90: 6 8 7 8

b. In terms of the shape, center, and spread of the distribution:

Shape: Looking at the stemplot, both with and without splitting, the shape appears to be roughly symmetric and unimodal. This means that the data tends to be evenly distributed around the center value.

Center: The center value can be approximated by examining the stems with the highest frequency of leaves. From both stemplots, it can be observed that the highest frequency occurs around the 8 leaf, suggesting that the center value is around 80 millimeters.

Spread: The spread of the distribution can be assessed by examining the range of values. The range of the data is approximately 900 millimeters (from the lowest value of 604 mm to the highest value of 957 mm). However, keep in mind that the stemplot does not provide precise measures of spread such as standard deviation or interquartile range.

c. The given data consists of monsoon rainfall amounts specifically during strong El Nino years. It is important to note that the dataset does not include monsoon rainfall data during years without El Nino events. However, based on the provided information, it appears that El Nino has an effect on monsoon rains in India. During these strong El Nino years, the average monsoon rainfall is lower than the overall average rainfall for all years from 1871 to 2004. This suggests that El Nino may negatively impact monsoon rains in India.

a. To create the stemplot, we first need to round the data to the nearest 10. Here are the rounded rainfall amounts:

60, 70, 70, 70, 70, 70, 70, 70, 60, 80, 80, 80, 80, 80, 80, 80, 90, 80, 90, 80, 90, 90

With splitting the stems:
6 | 0
6 | 9
7 | 0 0 0 0
7 | 1 1 1 1 1 1
6 | 5
6 | 0 0
6 | 4
6 | 0

Without splitting the stems (combined):
6 | 0 9 5 0 4 0
7 | 0 0 0 1 1 1 1 1 1
8 | 0 0 9 0 0 0 0
9 | 0

Looking at the two stemplots, I prefer the one without splitting the stems because it is easier to read and the data is less spread out.

b. The shape of the distribution can be described as skewed to the right, as the majority of the rainfall values are on the lower end and there are a few high outliers.

The center of the distribution can be estimated by finding the median, which is the middle value of the data. In this case, the median is around 80 millimeters.

The spread of the distribution can be estimated by finding the range, which is the difference between the highest and lowest values. In this case, the range is 90 - 60 = 30 millimeters.

c. From the given data, it seems that El Nino has an effect on monsoon rains in India. During strong El Nino years, the monsoon rains tend to be higher than the average. This suggests that El Nino's periodic warming of the Pacific Ocean may contribute to increased rainfall during the monsoon season in India.