Use the image to answer the question.

Question

An illustration shows three histograms labeled Histogram 1, Histogram 2, and Histogram 3. Five values are represented on Histogram 1. The first and fifth values are on the ends and are the lowest values. The second and fourth values are one in from either end. They are equal and slightly greater than the previous two. The third value is in the center and is the highest point on the histogram. Five values are represented on Histogram 2. The second and fourth values are equal. They are one in from either end and are the highest points on the histogram. The first and fifth values are the lowest points on the histogram. The third value is in the center. It is higher than the values on the ends but lower than the highest points. Five values are represented on Histogram 3. The first value is the highest point on the histogram. The other four values decrease in order from left to right. The lowest point on the histogram is the last value on the right.

Which histogram shows data that is symmetric and normal? Enter 1, 2, or 3 to identify which histogram you are choosing.
The data in histogram ? is symmetric and normal.

Answer 1

2

Answer 2

The director of a local summer camp is interested in the number of hours kids spend on screens each week. He surveys a group of 15 kids at his camp and asks them how many hours they spent on screens last week. A list of his results follows. What is the mean number of hours spent on screens for the kids he surveyed? Round your answer to the nearest tenth. {0,7,8,8,10,11,14,15,17,17.5,18,18,18,20,30} The mean number of hours spent on screens by the kids that the director surveyed is ? hours.

Answer 3

The sum of the number of hours spent on screens is 0+7+8+8+10+11+14+15+17+17.5+18+18+18+20+30 = 211.5

To find the mean, we divide the sum by the total number of kids surveyed (15):

Mean = 211.5 / 15 = 14.1

Therefore, the mean number of hours spent on screens by the kids surveyed is 14.1 hours.

Answer 4

The director of a local summer camp is interested in the number of hours kids spend on screens each week. He surveys a group of 15 kids at his camp and asks them how many hours they spent on screens last week. A list of his results follows. What is the median number of hours spent on screens for the kids he surveyed? Round your answer to the nearest tenth. {7,8,0,15,14,11,17.5,17,18,20,18,30,18,8,10} The median number of hours spent on screens by the kids that the director surveyed is ? hours.

Answer 5

To find the median, we first need to arrange the data in ascending order: {0, 7, 8, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 18, 20, 30}

Since there are 15 values, the median will be the average of the two middle values (when the data set is arranged in ascending order). In this case, the two middle values are the 8th and 9th values, which are 14 and 15.

Median = (14 + 15) / 2 = 14.5

Therefore, the median number of hours spent on screens by the kids surveyed is 14.5 hours.

Answer 6

The director of a local summer camp is interested in the number of hours kids spend on screens each week. He surveys a group of 15 kids at his camp and asks them how many hours they spent on screens last week. A list of his results follows. {0,7,8,8,10,11,14,15,17,17.5,18,18,20,30} The director realizes he forgot to include the data value “5” in his dataset. Calculate the median of the original dataset and the median of the new dataset after “5” is added. The Midian of the original dataset is ? hours. The median of the new dataset after "5" is added is ? hours.

Answer 7

To find the median of the original dataset:

1. Original dataset: {0, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}

Since there are 14 values, the median will be the average of the two middle values (when the data set is arranged in ascending order). In this case, the two middle values are the 7th and 8th values, which are 14 and 15.

Median = (14 + 15) / 2 = 14.5 hours

To find the median of the new dataset after adding 5:
New dataset: {0, 5, 7, 8, 8, 10, 11, 14, 15, 17, 17.5, 18, 18, 20, 30}

Now, there are 15 values, so the median will be the 8th value when the data is arranged in ascending order.

Median = 11 hours

Therefore, the median of the original dataset is 14.5 hours, and the median of the new dataset after adding 5 is 11 hours.