Question

3 from unit 1, lesson 4 a. describe the shape of the distribution. b. how many values are represented by the histogram? c. write a statistical question of interest that could have produced the data set summarized in the histogram. 4 from unit 1, lesson 3 the dot - plot represents the distribution of satisfaction ratings for a landscaping company on a scale of 1 to 10. twenty - five customers were surveyed. on average, what was the satisfaction rating of the landscaping company?

Explanation:

Step1: Analyze the shape of the histogram in question 3a

The distribution is skewed right. The tail of the distribution extends to the right side with most of the data concentrated on the left - hand side.

Step2: Calculate the number of values in question 3b

Count the frequencies of each bar. The frequencies are 3, 5, 7, 2, 1, 1, 1. Summing them up: $3 + 5+7 + 2+1 + 1+1=20$.

Step3: Formulate a statistical question for 3c

A possible question could be "What are the ages of people who visited a local library in a month?" assuming the histogram represents age - related data.

Step4: Calculate the average for question 4

Count the number of dots at each rating: 1 dot at 1, 0 dots at 2 - 4, 8 dots at 5, 0 dots at 6, 9 dots at 8, 3 dots at 9, 4 dots at 10. The sum of the products of the rating and the number of dots is $(1\times1)+(5\times8)+(8\times9)+(9\times3)+(10\times4)=1 + 40+72 + 27+40 = 180$. There are 25 customers. The average is $\frac{180}{25}=7.2$.

Answer:

3a. The distribution is skewed right.
3b. 20
3c. What are the ages of people who visited a local library in a month?

1. 7.2